---
_id: '64682'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Applications of hypocontinuous bilinear maps in infinite-dimensional
    differential calculus. In: <i>Generalized Lie Theory in Mathematics, Physics and
    Beyond</i>. Berlin: Springer; 2009:171–186. doi:<a href="https://doi.org/10.1007/978-3-540-85332-9_16">10.1007/978-3-540-85332-9_16</a>'
  apa: 'Glöckner, H. (2009). Applications of hypocontinuous bilinear maps in infinite-dimensional
    differential calculus. In <i>Generalized Lie theory in mathematics, physics and
    beyond</i> (pp. 171–186). Berlin: Springer. <a href="https://doi.org/10.1007/978-3-540-85332-9_16">https://doi.org/10.1007/978-3-540-85332-9_16</a>'
  bibtex: '@inbook{Glöckner_2009, title={Applications of hypocontinuous bilinear maps
    in infinite-dimensional differential calculus}, DOI={<a href="https://doi.org/10.1007/978-3-540-85332-9_16">10.1007/978-3-540-85332-9_16</a>},
    booktitle={Generalized Lie theory in mathematics, physics and beyond}, publisher={Berlin:
    Springer}, author={Glöckner, Helge}, year={2009}, pages={171–186} }'
  chicago: 'Glöckner, Helge. “Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional
    Differential Calculus.” In <i>Generalized Lie Theory in Mathematics, Physics and
    Beyond</i>, 171–186. Berlin: Springer, 2009. <a href="https://doi.org/10.1007/978-3-540-85332-9_16">https://doi.org/10.1007/978-3-540-85332-9_16</a>.'
  ieee: 'H. Glöckner, “Applications of hypocontinuous bilinear maps in infinite-dimensional
    differential calculus,” in <i>Generalized Lie theory in mathematics, physics and
    beyond</i>, Berlin: Springer, 2009, pp. 171–186.'
  mla: 'Glöckner, Helge. “Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional
    Differential Calculus.” <i>Generalized Lie Theory in Mathematics, Physics and
    Beyond</i>, Berlin: Springer, 2009, pp. 171–186, doi:<a href="https://doi.org/10.1007/978-3-540-85332-9_16">10.1007/978-3-540-85332-9_16</a>.'
  short: 'H. Glöckner, in: Generalized Lie Theory in Mathematics, Physics and Beyond,
    Berlin: Springer, 2009, pp. 171–186.'
date_created: 2026-02-26T11:18:25Z
date_updated: 2026-02-26T11:19:09Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/978-3-540-85332-9_16
keyword:
- 46G20
- 46A99
- 47A07
language:
- iso: eng
page: 171–186
publication: Generalized Lie theory in mathematics, physics and beyond
publication_identifier:
  isbn:
  - 978-3-540-85331-2
publisher: 'Berlin: Springer'
quality_controlled: '1'
status: public
title: Applications of hypocontinuous bilinear maps in infinite-dimensional differential
  calculus
type: book_chapter
user_id: '178'
year: '2009'
...
---
_id: '64747'
author:
- first_name: Rafael
  full_name: Dahmen, Rafael
  last_name: Dahmen
citation:
  ama: Dahmen R. Lie Groups Associated to Hölder-Continuous Functions. Published online
    2009.
  apa: Dahmen, R. (2009). <i>Lie Groups Associated to Hölder-Continuous Functions</i>.
  bibtex: '@article{Dahmen_2009, title={Lie Groups Associated to Hölder-Continuous
    Functions}, author={Dahmen, Rafael}, year={2009} }'
  chicago: Dahmen, Rafael. “Lie Groups Associated to Hölder-Continuous Functions,”
    2009.
  ieee: R. Dahmen, “Lie Groups Associated to Hölder-Continuous Functions.” 2009.
  mla: Dahmen, Rafael. <i>Lie Groups Associated to Hölder-Continuous Functions</i>.
    2009.
  short: R. Dahmen, (2009).
date_created: 2026-02-26T20:14:19Z
date_updated: 2026-02-26T20:14:43Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - arXiv:0908.3843
language:
- iso: eng
status: public
title: Lie Groups Associated to Hölder-Continuous Functions
type: preprint
user_id: '178'
year: '2009'
...
---
_id: '64681'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  last_name: Glöckner
- first_name: Lutz G.
  full_name: Lucht, Lutz G.
  last_name: Lucht
- first_name: Štefan
  full_name: Porubský, Štefan
  last_name: Porubský
citation:
  ama: Glöckner H, Lucht LG, Porubský Š. General Dirichlet series, arithmetic convolution
    equations and Laplace transforms. <i>Studia Mathematica</i>. 2009;193(2):109–129.
    doi:<a href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>
  apa: Glöckner, H., Lucht, L. G., &#38; Porubský, Š. (2009). General Dirichlet series,
    arithmetic convolution equations and Laplace transforms. <i>Studia Mathematica</i>,
    <i>193</i>(2), 109–129. <a href="https://doi.org/10.4064/sm193-2-2">https://doi.org/10.4064/sm193-2-2</a>
  bibtex: '@article{Glöckner_Lucht_Porubský_2009, title={General Dirichlet series,
    arithmetic convolution equations and Laplace transforms}, volume={193}, DOI={<a
    href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>}, number={2}, journal={Studia
    Mathematica}, author={Glöckner, Helge and Lucht, Lutz G. and Porubský, Štefan},
    year={2009}, pages={109–129} }'
  chicago: 'Glöckner, Helge, Lutz G. Lucht, and Štefan Porubský. “General Dirichlet
    Series, Arithmetic Convolution Equations and Laplace Transforms.” <i>Studia Mathematica</i>
    193, no. 2 (2009): 109–129. <a href="https://doi.org/10.4064/sm193-2-2">https://doi.org/10.4064/sm193-2-2</a>.'
  ieee: 'H. Glöckner, L. G. Lucht, and Š. Porubský, “General Dirichlet series, arithmetic
    convolution equations and Laplace transforms,” <i>Studia Mathematica</i>, vol.
    193, no. 2, pp. 109–129, 2009, doi: <a href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>.'
  mla: Glöckner, Helge, et al. “General Dirichlet Series, Arithmetic Convolution Equations
    and Laplace Transforms.” <i>Studia Mathematica</i>, vol. 193, no. 2, 2009, pp.
    109–129, doi:<a href="https://doi.org/10.4064/sm193-2-2">10.4064/sm193-2-2</a>.
  short: H. Glöckner, L.G. Lucht, Š. Porubský, Studia Mathematica 193 (2009) 109–129.
date_created: 2026-02-26T11:17:15Z
date_updated: 2026-02-27T08:22:20Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.4064/sm193-2-2
intvolume: '       193'
issue: '2'
keyword:
- 11A25
- 44A10
- 46H30
language:
- iso: eng
page: 109–129
publication: Studia Mathematica
publication_identifier:
  issn:
  - 0039-3223
quality_controlled: '1'
status: public
title: General Dirichlet series, arithmetic convolution equations and Laplace transforms
type: journal_article
user_id: '178'
volume: 193
year: '2009'
...
---
_id: '64639'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Homotopy groups of ascending unions of infinite-dimensional manifolds.
    Published online 2008.
  apa: Glöckner, H. (2008). <i>Homotopy groups of ascending unions of infinite-dimensional
    manifolds</i>.
  bibtex: '@article{Glöckner_2008, title={Homotopy groups of ascending unions of infinite-dimensional
    manifolds}, author={Glöckner, Helge}, year={2008} }'
  chicago: Glöckner, Helge. “Homotopy Groups of Ascending Unions of Infinite-Dimensional
    Manifolds,” 2008.
  ieee: H. Glöckner, “Homotopy groups of ascending unions of infinite-dimensional
    manifolds.” 2008.
  mla: Glöckner, Helge. <i>Homotopy Groups of Ascending Unions of Infinite-Dimensional
    Manifolds</i>. 2008.
  short: H. Glöckner, (2008).
date_created: 2026-02-26T07:31:41Z
date_updated: 2026-02-26T07:32:14Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - arXiv:0812.4713
language:
- iso: eng
status: public
title: Homotopy groups of ascending unions of infinite-dimensional manifolds
type: preprint
user_id: '178'
year: '2008'
...
---
_id: '64685'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Ultrametric and non-locally convex analogues of the general curve
    Lemma of convenient differential calculus. <i>Glasgow Mathematical Journal</i>.
    2008;50(2):271–288. doi:<a href="https://doi.org/10.1017/S0017089508004199">10.1017/S0017089508004199</a>
  apa: Glöckner, H. (2008). Ultrametric and non-locally convex analogues of the general
    curve Lemma of convenient differential calculus. <i>Glasgow Mathematical Journal</i>,
    <i>50</i>(2), 271–288. <a href="https://doi.org/10.1017/S0017089508004199">https://doi.org/10.1017/S0017089508004199</a>
  bibtex: '@article{Glöckner_2008, title={Ultrametric and non-locally convex analogues
    of the general curve Lemma of convenient differential calculus}, volume={50},
    DOI={<a href="https://doi.org/10.1017/S0017089508004199">10.1017/S0017089508004199</a>},
    number={2}, journal={Glasgow Mathematical Journal}, author={Glöckner, Helge},
    year={2008}, pages={271–288} }'
  chicago: 'Glöckner, Helge. “Ultrametric and Non-Locally Convex Analogues of the
    General Curve Lemma of Convenient Differential Calculus.” <i>Glasgow Mathematical
    Journal</i> 50, no. 2 (2008): 271–288. <a href="https://doi.org/10.1017/S0017089508004199">https://doi.org/10.1017/S0017089508004199</a>.'
  ieee: 'H. Glöckner, “Ultrametric and non-locally convex analogues of the general
    curve Lemma of convenient differential calculus,” <i>Glasgow Mathematical Journal</i>,
    vol. 50, no. 2, pp. 271–288, 2008, doi: <a href="https://doi.org/10.1017/S0017089508004199">10.1017/S0017089508004199</a>.'
  mla: Glöckner, Helge. “Ultrametric and Non-Locally Convex Analogues of the General
    Curve Lemma of Convenient Differential Calculus.” <i>Glasgow Mathematical Journal</i>,
    vol. 50, no. 2, 2008, pp. 271–288, doi:<a href="https://doi.org/10.1017/S0017089508004199">10.1017/S0017089508004199</a>.
  short: H. Glöckner, Glasgow Mathematical Journal 50 (2008) 271–288.
date_created: 2026-02-26T11:22:06Z
date_updated: 2026-02-27T08:19:56Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1017/S0017089508004199
intvolume: '        50'
issue: '2'
keyword:
- '26E15'
- '26E20'
- '26E30'
- 46A16
- 46S10
language:
- iso: eng
page: 271–288
publication: Glasgow Mathematical Journal
publication_identifier:
  issn:
  - 0017-0895
quality_controlled: '1'
status: public
title: Ultrametric and non-locally convex analogues of the general curve Lemma of
  convenient differential calculus
type: journal_article
user_id: '178'
volume: 50
year: '2008'
...
---
_id: '64684'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Solutions to open problems in Neeb’s recent survey on infinite-dimensional
    Lie groups. <i>Geometriae Dedicata</i>. 2008;135:71–86. doi:<a href="https://doi.org/10.1007/s10711-008-9263-z">10.1007/s10711-008-9263-z</a>
  apa: Glöckner, H. (2008). Solutions to open problems in Neeb’s recent survey on
    infinite-dimensional Lie groups. <i>Geometriae Dedicata</i>, <i>135</i>, 71–86.
    <a href="https://doi.org/10.1007/s10711-008-9263-z">https://doi.org/10.1007/s10711-008-9263-z</a>
  bibtex: '@article{Glöckner_2008, title={Solutions to open problems in Neeb’s recent
    survey on infinite-dimensional Lie groups}, volume={135}, DOI={<a href="https://doi.org/10.1007/s10711-008-9263-z">10.1007/s10711-008-9263-z</a>},
    journal={Geometriae Dedicata}, author={Glöckner, Helge}, year={2008}, pages={71–86}
    }'
  chicago: 'Glöckner, Helge. “Solutions to Open Problems in Neeb’s Recent Survey on
    Infinite-Dimensional Lie Groups.” <i>Geometriae Dedicata</i> 135 (2008): 71–86.
    <a href="https://doi.org/10.1007/s10711-008-9263-z">https://doi.org/10.1007/s10711-008-9263-z</a>.'
  ieee: 'H. Glöckner, “Solutions to open problems in Neeb’s recent survey on infinite-dimensional
    Lie groups,” <i>Geometriae Dedicata</i>, vol. 135, pp. 71–86, 2008, doi: <a href="https://doi.org/10.1007/s10711-008-9263-z">10.1007/s10711-008-9263-z</a>.'
  mla: Glöckner, Helge. “Solutions to Open Problems in Neeb’s Recent Survey on Infinite-Dimensional
    Lie Groups.” <i>Geometriae Dedicata</i>, vol. 135, 2008, pp. 71–86, doi:<a href="https://doi.org/10.1007/s10711-008-9263-z">10.1007/s10711-008-9263-z</a>.
  short: H. Glöckner, Geometriae Dedicata 135 (2008) 71–86.
date_created: 2026-02-26T11:20:56Z
date_updated: 2026-02-27T08:21:15Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s10711-008-9263-z
intvolume: '       135'
keyword:
- '22E65'
language:
- iso: eng
page: 71–86
publication: Geometriae Dedicata
publication_identifier:
  issn:
  - 0046-5755
quality_controlled: '1'
status: public
title: Solutions to open problems in Neeb’s recent survey on infinite-dimensional
  Lie groups
type: journal_article
user_id: '178'
volume: 135
year: '2008'
...
---
_id: '64683'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Contractible Lie groups over local fields. <i>Mathematische Zeitschrift</i>.
    2008;260(4):889–904. doi:<a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>
  apa: Glöckner, H. (2008). Contractible Lie groups over local fields. <i>Mathematische
    Zeitschrift</i>, <i>260</i>(4), 889–904. <a href="https://doi.org/10.1007/s00209-008-0305-x">https://doi.org/10.1007/s00209-008-0305-x</a>
  bibtex: '@article{Glöckner_2008, title={Contractible Lie groups over local fields},
    volume={260}, DOI={<a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>},
    number={4}, journal={Mathematische Zeitschrift}, author={Glöckner, Helge}, year={2008},
    pages={889–904} }'
  chicago: 'Glöckner, Helge. “Contractible Lie Groups over Local Fields.” <i>Mathematische
    Zeitschrift</i> 260, no. 4 (2008): 889–904. <a href="https://doi.org/10.1007/s00209-008-0305-x">https://doi.org/10.1007/s00209-008-0305-x</a>.'
  ieee: 'H. Glöckner, “Contractible Lie groups over local fields,” <i>Mathematische
    Zeitschrift</i>, vol. 260, no. 4, pp. 889–904, 2008, doi: <a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>.'
  mla: Glöckner, Helge. “Contractible Lie Groups over Local Fields.” <i>Mathematische
    Zeitschrift</i>, vol. 260, no. 4, 2008, pp. 889–904, doi:<a href="https://doi.org/10.1007/s00209-008-0305-x">10.1007/s00209-008-0305-x</a>.
  short: H. Glöckner, Mathematische Zeitschrift 260 (2008) 889–904.
date_created: 2026-02-26T11:19:31Z
date_updated: 2026-02-27T08:21:58Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s00209-008-0305-x
intvolume: '       260'
issue: '4'
keyword:
- '22E20'
- '22E60'
language:
- iso: eng
page: 889–904
publication: Mathematische Zeitschrift
publication_identifier:
  issn:
  - 0025-5874
quality_controlled: '1'
status: public
title: Contractible Lie groups over local fields
type: journal_article
user_id: '178'
volume: 260
year: '2008'
...
---
_id: '64691'
abstract:
- lang: eng
  text: We show that countable direct limits of finite-dimensional Lie groups do not
    have small subgroups. The same conclusion is obtained for suitable direct limits
    of infinite-dimensional Lie groups.
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Direct limit groups do not have small subgroups. <i>Topology and
    its Applications</i>. 2007;154(6):1126-1133. doi:<a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>
  apa: Glöckner, H. (2007). Direct limit groups do not have small subgroups. <i>Topology
    and Its Applications</i>, <i>154</i>(6), 1126–1133. <a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>
  bibtex: '@article{Glöckner_2007, title={Direct limit groups do not have small subgroups},
    volume={154}, DOI={<a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>},
    number={6}, journal={Topology and its Applications}, author={Glöckner, Helge},
    year={2007}, pages={1126–1133} }'
  chicago: 'Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” <i>Topology
    and Its Applications</i> 154, no. 6 (2007): 1126–33. <a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>.'
  ieee: 'H. Glöckner, “Direct limit groups do not have small subgroups,” <i>Topology
    and its Applications</i>, vol. 154, no. 6, pp. 1126–1133, 2007, doi: <a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>.'
  mla: Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” <i>Topology
    and Its Applications</i>, vol. 154, no. 6, 2007, pp. 1126–33, doi:<a href="https://doi.org/10.1016/j.topol.2006.11.003">https://doi.org/10.1016/j.topol.2006.11.003</a>.
  short: H. Glöckner, Topology and Its Applications 154 (2007) 1126–1133.
date_created: 2026-02-26T11:43:06Z
date_updated: 2026-02-26T11:44:04Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: https://doi.org/10.1016/j.topol.2006.11.003
extern: '1'
intvolume: '       154'
issue: '6'
keyword:
- Infinite-dimensional Lie group
- Direct limit group
- Direct limit
- Inductive limit
- Small subgroup
- Torsion subgroup
language:
- iso: eng
page: 1126-1133
publication: Topology and its Applications
publication_identifier:
  issn:
  - 0166-8641
quality_controlled: '1'
status: public
title: Direct limit groups do not have small subgroups
type: journal_article
user_id: '178'
volume: 154
year: '2007'
...
---
_id: '64692'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Lutz G.
  full_name: Lucht, Lutz G.
  last_name: Lucht
- first_name: Štefan
  full_name: Porubský, Štefan
  last_name: Porubský
citation:
  ama: Glöckner H, Lucht LG, Porubský Š. Solutions to arithmetic convolution equations.
    <i>Proceedings of the American Mathematical Society</i>. 2007;135(6):1619–1629.
    doi:<a href="https://doi.org/10.1090/S0002-9939-07-08738-2">10.1090/S0002-9939-07-08738-2</a>
  apa: Glöckner, H., Lucht, L. G., &#38; Porubský, Š. (2007). Solutions to arithmetic
    convolution equations. <i>Proceedings of the American Mathematical Society</i>,
    <i>135</i>(6), 1619–1629. <a href="https://doi.org/10.1090/S0002-9939-07-08738-2">https://doi.org/10.1090/S0002-9939-07-08738-2</a>
  bibtex: '@article{Glöckner_Lucht_Porubský_2007, title={Solutions to arithmetic convolution
    equations}, volume={135}, DOI={<a href="https://doi.org/10.1090/S0002-9939-07-08738-2">10.1090/S0002-9939-07-08738-2</a>},
    number={6}, journal={Proceedings of the American Mathematical Society}, author={Glöckner,
    Helge and Lucht, Lutz G. and Porubský, Štefan}, year={2007}, pages={1619–1629}
    }'
  chicago: 'Glöckner, Helge, Lutz G. Lucht, and Štefan Porubský. “Solutions to Arithmetic
    Convolution Equations.” <i>Proceedings of the American Mathematical Society</i>
    135, no. 6 (2007): 1619–1629. <a href="https://doi.org/10.1090/S0002-9939-07-08738-2">https://doi.org/10.1090/S0002-9939-07-08738-2</a>.'
  ieee: 'H. Glöckner, L. G. Lucht, and Š. Porubský, “Solutions to arithmetic convolution
    equations,” <i>Proceedings of the American Mathematical Society</i>, vol. 135,
    no. 6, pp. 1619–1629, 2007, doi: <a href="https://doi.org/10.1090/S0002-9939-07-08738-2">10.1090/S0002-9939-07-08738-2</a>.'
  mla: Glöckner, Helge, et al. “Solutions to Arithmetic Convolution Equations.” <i>Proceedings
    of the American Mathematical Society</i>, vol. 135, no. 6, 2007, pp. 1619–1629,
    doi:<a href="https://doi.org/10.1090/S0002-9939-07-08738-2">10.1090/S0002-9939-07-08738-2</a>.
  short: H. Glöckner, L.G. Lucht, Š. Porubský, Proceedings of the American Mathematical
    Society 135 (2007) 1619–1629.
date_created: 2026-02-26T11:45:24Z
date_updated: 2026-02-27T08:01:40Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1090/S0002-9939-07-08738-2
extern: '1'
intvolume: '       135'
issue: '6'
keyword:
- 11A25
- 46H30
language:
- iso: eng
page: 1619–1629
publication: Proceedings of the American Mathematical Society
publication_identifier:
  issn:
  - 0002-9939
quality_controlled: '1'
status: public
title: Solutions to arithmetic convolution equations
type: journal_article
user_id: '178'
volume: 135
year: '2007'
...
---
_id: '64690'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Direct limits of infinite-dimensional Lie groups compared to direct
    limits in related categories. <i>Journal of Functional Analysis</i>. 2007;245(1):19–61.
    doi:<a href="https://doi.org/10.1016/j.jfa.2006.12.018">10.1016/j.jfa.2006.12.018</a>
  apa: Glöckner, H. (2007). Direct limits of infinite-dimensional Lie groups compared
    to direct limits in related categories. <i>Journal of Functional Analysis</i>,
    <i>245</i>(1), 19–61. <a href="https://doi.org/10.1016/j.jfa.2006.12.018">https://doi.org/10.1016/j.jfa.2006.12.018</a>
  bibtex: '@article{Glöckner_2007, title={Direct limits of infinite-dimensional Lie
    groups compared to direct limits in related categories}, volume={245}, DOI={<a
    href="https://doi.org/10.1016/j.jfa.2006.12.018">10.1016/j.jfa.2006.12.018</a>},
    number={1}, journal={Journal of Functional Analysis}, author={Glöckner, Helge},
    year={2007}, pages={19–61} }'
  chicago: 'Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups Compared
    to Direct Limits in Related Categories.” <i>Journal of Functional Analysis</i>
    245, no. 1 (2007): 19–61. <a href="https://doi.org/10.1016/j.jfa.2006.12.018">https://doi.org/10.1016/j.jfa.2006.12.018</a>.'
  ieee: 'H. Glöckner, “Direct limits of infinite-dimensional Lie groups compared to
    direct limits in related categories,” <i>Journal of Functional Analysis</i>, vol.
    245, no. 1, pp. 19–61, 2007, doi: <a href="https://doi.org/10.1016/j.jfa.2006.12.018">10.1016/j.jfa.2006.12.018</a>.'
  mla: Glöckner, Helge. “Direct Limits of Infinite-Dimensional Lie Groups Compared
    to Direct Limits in Related Categories.” <i>Journal of Functional Analysis</i>,
    vol. 245, no. 1, 2007, pp. 19–61, doi:<a href="https://doi.org/10.1016/j.jfa.2006.12.018">10.1016/j.jfa.2006.12.018</a>.
  short: H. Glöckner, Journal of Functional Analysis 245 (2007) 19–61.
date_created: 2026-02-26T11:36:29Z
date_updated: 2026-02-27T08:14:25Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.jfa.2006.12.018
extern: '1'
intvolume: '       245'
issue: '1'
keyword:
- '22E65'
language:
- iso: eng
page: 19–61
publication: Journal of Functional Analysis
publication_identifier:
  issn:
  - 0022-1236
quality_controlled: '1'
status: public
title: Direct limits of infinite-dimensional Lie groups compared to direct limits
  in related categories
type: journal_article
user_id: '178'
volume: 245
year: '2007'
...
---
_id: '64687'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Instructive examples of smooth, complex differentiable and complex
    analytic mappings into locally convex spaces. <i>Journal of Mathematics of Kyoto
    University</i>. 2007;47(3):631–642. doi:<a href="https://doi.org/10.1215/kjm/1250281028">10.1215/kjm/1250281028</a>
  apa: Glöckner, H. (2007). Instructive examples of smooth, complex differentiable
    and complex analytic mappings into locally convex spaces. <i>Journal of Mathematics
    of Kyoto University</i>, <i>47</i>(3), 631–642. <a href="https://doi.org/10.1215/kjm/1250281028">https://doi.org/10.1215/kjm/1250281028</a>
  bibtex: '@article{Glöckner_2007, title={Instructive examples of smooth, complex
    differentiable and complex analytic mappings into locally convex spaces}, volume={47},
    DOI={<a href="https://doi.org/10.1215/kjm/1250281028">10.1215/kjm/1250281028</a>},
    number={3}, journal={Journal of Mathematics of Kyoto University}, author={Glöckner,
    Helge}, year={2007}, pages={631–642} }'
  chicago: 'Glöckner, Helge. “Instructive Examples of Smooth, Complex Differentiable
    and Complex Analytic Mappings into Locally Convex Spaces.” <i>Journal of Mathematics
    of Kyoto University</i> 47, no. 3 (2007): 631–642. <a href="https://doi.org/10.1215/kjm/1250281028">https://doi.org/10.1215/kjm/1250281028</a>.'
  ieee: 'H. Glöckner, “Instructive examples of smooth, complex differentiable and
    complex analytic mappings into locally convex spaces,” <i>Journal of Mathematics
    of Kyoto University</i>, vol. 47, no. 3, pp. 631–642, 2007, doi: <a href="https://doi.org/10.1215/kjm/1250281028">10.1215/kjm/1250281028</a>.'
  mla: Glöckner, Helge. “Instructive Examples of Smooth, Complex Differentiable and
    Complex Analytic Mappings into Locally Convex Spaces.” <i>Journal of Mathematics
    of Kyoto University</i>, vol. 47, no. 3, 2007, pp. 631–642, doi:<a href="https://doi.org/10.1215/kjm/1250281028">10.1215/kjm/1250281028</a>.
  short: H. Glöckner, Journal of Mathematics of Kyoto University 47 (2007) 631–642.
date_created: 2026-02-26T11:28:31Z
date_updated: 2026-02-27T08:18:56Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1215/kjm/1250281028
intvolume: '        47'
issue: '3'
keyword:
- 46G20
- '26E05'
- '26E15'
- '26E20'
- 46T25
language:
- iso: eng
page: 631–642
publication: Journal of Mathematics of Kyoto University
publication_identifier:
  issn:
  - 0023-608X
quality_controlled: '1'
status: public
title: Instructive examples of smooth, complex differentiable and complex analytic
  mappings into locally convex spaces
type: journal_article
user_id: '178'
volume: 47
year: '2007'
...
---
_id: '64689'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Comparison of some notions of C^k-maps in multi-variable non-archimedian
    analysis. <i>Bulletin of the Belgian Mathematical Society - Simon Stevin</i>.
    2007;14(5):877–904.
  apa: Glöckner, H. (2007). Comparison of some notions of C^k-maps in multi-variable
    non-archimedian analysis. <i>Bulletin of the Belgian Mathematical Society - Simon
    Stevin</i>, <i>14</i>(5), 877–904.
  bibtex: '@article{Glöckner_2007, title={Comparison of some notions of C^k-maps in
    multi-variable non-archimedian analysis}, volume={14}, number={5}, journal={Bulletin
    of the Belgian Mathematical Society - Simon Stevin}, author={Glöckner, Helge},
    year={2007}, pages={877–904} }'
  chicago: 'Glöckner, Helge. “Comparison of Some Notions of C^k-Maps in Multi-Variable
    Non-Archimedian Analysis.” <i>Bulletin of the Belgian Mathematical Society - Simon
    Stevin</i> 14, no. 5 (2007): 877–904.'
  ieee: H. Glöckner, “Comparison of some notions of C^k-maps in multi-variable non-archimedian
    analysis,” <i>Bulletin of the Belgian Mathematical Society - Simon Stevin</i>,
    vol. 14, no. 5, pp. 877–904, 2007.
  mla: Glöckner, Helge. “Comparison of Some Notions of C^k-Maps in Multi-Variable
    Non-Archimedian Analysis.” <i>Bulletin of the Belgian Mathematical Society - Simon
    Stevin</i>, vol. 14, no. 5, 2007, pp. 877–904.
  short: H. Glöckner, Bulletin of the Belgian Mathematical Society - Simon Stevin
    14 (2007) 877–904.
date_created: 2026-02-26T11:33:39Z
date_updated: 2026-02-27T08:17:18Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
intvolume: '        14'
issue: '5'
keyword:
- '26E30'
- '26E20'
- 46A16
- 46G05
- 46S10
language:
- iso: eng
page: 877–904
publication: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication_identifier:
  issn:
  - 1370-1444
quality_controlled: '1'
status: public
title: Comparison of some notions of C^k-maps in multi-variable non-archimedian analysis
type: journal_article
user_id: '178'
volume: 14
year: '2007'
...
---
_id: '64686'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: George A.
  full_name: Willis, George A.
  last_name: Willis
citation:
  ama: Glöckner H, Willis GA. Directions of automorphisms of Lie groups over local
    fields compared to the directions of Lie algebra automorphisms. <i>Topology Proceedings</i>.
    2007;31(2):481–501.
  apa: Glöckner, H., &#38; Willis, G. A. (2007). Directions of automorphisms of Lie
    groups over local fields compared to the directions of Lie algebra automorphisms.
    <i>Topology Proceedings</i>, <i>31</i>(2), 481–501.
  bibtex: '@article{Glöckner_Willis_2007, title={Directions of automorphisms of Lie
    groups over local fields compared to the directions of Lie algebra automorphisms},
    volume={31}, number={2}, journal={Topology Proceedings}, author={Glöckner, Helge
    and Willis, George A.}, year={2007}, pages={481–501} }'
  chicago: 'Glöckner, Helge, and George A. Willis. “Directions of Automorphisms of
    Lie Groups over Local Fields Compared to the Directions of Lie Algebra Automorphisms.”
    <i>Topology Proceedings</i> 31, no. 2 (2007): 481–501.'
  ieee: H. Glöckner and G. A. Willis, “Directions of automorphisms of Lie groups over
    local fields compared to the directions of Lie algebra automorphisms,” <i>Topology
    Proceedings</i>, vol. 31, no. 2, pp. 481–501, 2007.
  mla: Glöckner, Helge, and George A. Willis. “Directions of Automorphisms of Lie
    Groups over Local Fields Compared to the Directions of Lie Algebra Automorphisms.”
    <i>Topology Proceedings</i>, vol. 31, no. 2, 2007, pp. 481–501.
  short: H. Glöckner, G.A. Willis, Topology Proceedings 31 (2007) 481–501.
date_created: 2026-02-26T11:26:02Z
date_updated: 2026-02-27T08:19:31Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
intvolume: '        31'
issue: '2'
keyword:
- 22D45
- 22D05
- 20G25
- '22E15'
- '22E35'
language:
- iso: eng
page: 481–501
publication: Topology Proceedings
publication_identifier:
  issn:
  - 0146-4124
quality_controlled: '1'
status: public
title: Directions of automorphisms of Lie groups over local fields compared to the
  directions of Lie algebra automorphisms
type: journal_article
user_id: '178'
volume: 31
year: '2007'
...
---
_id: '64688'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Simplified proofs for the pro-Lie group theorem and the one-parameter
    subgroup lifting lemma. <i>Journal of Lie Theory</i>. 2007;17(4):899–902.
  apa: Glöckner, H. (2007). Simplified proofs for the pro-Lie group theorem and the
    one-parameter subgroup lifting lemma. <i>Journal of Lie Theory</i>, <i>17</i>(4),
    899–902.
  bibtex: '@article{Glöckner_2007, title={Simplified proofs for the pro-Lie group
    theorem and the one-parameter subgroup lifting lemma}, volume={17}, number={4},
    journal={Journal of Lie Theory}, author={Glöckner, Helge}, year={2007}, pages={899–902}
    }'
  chicago: 'Glöckner, Helge. “Simplified Proofs for the Pro-Lie Group Theorem and
    the One-Parameter Subgroup Lifting Lemma.” <i>Journal of Lie Theory</i> 17, no.
    4 (2007): 899–902.'
  ieee: H. Glöckner, “Simplified proofs for the pro-Lie group theorem and the one-parameter
    subgroup lifting lemma,” <i>Journal of Lie Theory</i>, vol. 17, no. 4, pp. 899–902,
    2007.
  mla: Glöckner, Helge. “Simplified Proofs for the Pro-Lie Group Theorem and the One-Parameter
    Subgroup Lifting Lemma.” <i>Journal of Lie Theory</i>, vol. 17, no. 4, 2007, pp.
    899–902.
  short: H. Glöckner, Journal of Lie Theory 17 (2007) 899–902.
date_created: 2026-02-26T11:31:36Z
date_updated: 2026-02-27T08:18:15Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
intvolume: '        17'
issue: '4'
keyword:
- 22A05
- '22E20'
- '22E65'
language:
- iso: eng
page: 899–902
publication: Journal of Lie Theory
publication_identifier:
  issn:
  - 0949-5932
quality_controlled: '1'
status: public
title: Simplified proofs for the pro-Lie group theorem and the one-parameter subgroup
  lifting lemma
type: journal_article
user_id: '178'
volume: 17
year: '2007'
...
---
_id: '64693'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Aspects of p-adic nonlinear functional analysis. In: <i>P-Adic
    Mathematical Physics. 2nd International Conference, Belgrade, Serbia and Montenegro,
    15–21 September 2005.</i> Melville, NY: American Institute of Physics (AIP); 2006:237–253.
    doi:<a href="https://doi.org/10.1063/1.2193126">10.1063/1.2193126</a>'
  apa: 'Glöckner, H. (2006). Aspects of p-adic nonlinear functional analysis. In <i>p-adic
    mathematical physics. 2nd international conference, Belgrade, Serbia and Montenegro,
    15–21 September 2005.</i> (pp. 237–253). Melville, NY: American Institute of Physics
    (AIP). <a href="https://doi.org/10.1063/1.2193126">https://doi.org/10.1063/1.2193126</a>'
  bibtex: '@inbook{Glöckner_2006, title={Aspects of p-adic nonlinear functional analysis},
    DOI={<a href="https://doi.org/10.1063/1.2193126">10.1063/1.2193126</a>}, booktitle={p-adic
    mathematical physics. 2nd international conference, Belgrade, Serbia and Montenegro,
    15–21 September 2005.}, publisher={Melville, NY: American Institute of Physics
    (AIP)}, author={Glöckner, Helge}, year={2006}, pages={237–253} }'
  chicago: 'Glöckner, Helge. “Aspects of P-Adic Nonlinear Functional Analysis.” In
    <i>P-Adic Mathematical Physics. 2nd International Conference, Belgrade, Serbia
    and Montenegro, 15–21 September 2005.</i>, 237–253. Melville, NY: American Institute
    of Physics (AIP), 2006. <a href="https://doi.org/10.1063/1.2193126">https://doi.org/10.1063/1.2193126</a>.'
  ieee: 'H. Glöckner, “Aspects of p-adic nonlinear functional analysis,” in <i>p-adic
    mathematical physics. 2nd international conference, Belgrade, Serbia and Montenegro,
    15–21 September 2005.</i>, Melville, NY: American Institute of Physics (AIP),
    2006, pp. 237–253.'
  mla: 'Glöckner, Helge. “Aspects of P-Adic Nonlinear Functional Analysis.” <i>P-Adic
    Mathematical Physics. 2nd International Conference, Belgrade, Serbia and Montenegro,
    15–21 September 2005.</i>, Melville, NY: American Institute of Physics (AIP),
    2006, pp. 237–253, doi:<a href="https://doi.org/10.1063/1.2193126">10.1063/1.2193126</a>.'
  short: 'H. Glöckner, in: P-Adic Mathematical Physics. 2nd International Conference,
    Belgrade, Serbia and Montenegro, 15–21 September 2005., Melville, NY: American
    Institute of Physics (AIP), 2006, pp. 237–253.'
date_created: 2026-02-26T11:48:58Z
date_updated: 2026-02-26T11:50:21Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1063/1.2193126
extern: '1'
keyword:
- 46S10
- 37D10
- 47S10
language:
- iso: eng
page: 237–253
publication: p-adic mathematical physics. 2nd international conference, Belgrade,
  Serbia and Montenegro, 15–21 September 2005.
publication_identifier:
  isbn:
  - 0-7354-0318-X
publisher: 'Melville, NY: American Institute of Physics (AIP)'
quality_controlled: '1'
status: public
title: Aspects of p-adic nonlinear functional analysis
type: book_chapter
user_id: '178'
year: '2006'
...
---
_id: '64742'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Implicit functions from topological vector spaces to Fréchet spaces
    in the presence of metric estimates. Published online 2006.
  apa: Glöckner, H. (2006). <i>Implicit functions from topological vector spaces to
    Fréchet spaces in the presence of metric estimates</i>.
  bibtex: '@article{Glöckner_2006, title={Implicit functions from topological vector
    spaces to Fréchet spaces in the presence of metric estimates}, author={Glöckner,
    Helge}, year={2006} }'
  chicago: Glöckner, Helge. “Implicit Functions from Topological Vector Spaces to
    Fréchet Spaces in the Presence of Metric Estimates,” 2006.
  ieee: H. Glöckner, “Implicit functions from topological vector spaces to Fréchet
    spaces in the presence of metric estimates.” 2006.
  mla: Glöckner, Helge. <i>Implicit Functions from Topological Vector Spaces to Fréchet
    Spaces in the Presence of Metric Estimates</i>. 2006.
  short: H. Glöckner, (2006).
date_created: 2026-02-26T19:51:30Z
date_updated: 2026-02-26T19:51:40Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
external_id:
  arxiv:
  - arXiv:math/0612673
language:
- iso: eng
status: public
title: Implicit functions from topological vector spaces to Fréchet spaces in the
  presence of metric estimates
type: preprint
user_id: '178'
year: '2006'
...
---
_id: '64696'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Locally compact groups built up from p-adic Lie groups, for p in
    a given set of primes. <i>Journal of Group Theory</i>. 2006;9(4):427–454. doi:<a
    href="https://doi.org/10.1515/JGT.2006.028">10.1515/JGT.2006.028</a>
  apa: Glöckner, H. (2006). Locally compact groups built up from p-adic Lie groups,
    for p in a given set of primes. <i>Journal of Group Theory</i>, <i>9</i>(4), 427–454.
    <a href="https://doi.org/10.1515/JGT.2006.028">https://doi.org/10.1515/JGT.2006.028</a>
  bibtex: '@article{Glöckner_2006, title={Locally compact groups built up from p-adic
    Lie groups, for p in a given set of primes}, volume={9}, DOI={<a href="https://doi.org/10.1515/JGT.2006.028">10.1515/JGT.2006.028</a>},
    number={4}, journal={Journal of Group Theory}, author={Glöckner, Helge}, year={2006},
    pages={427–454} }'
  chicago: 'Glöckner, Helge. “Locally Compact Groups Built up from P-Adic Lie Groups,
    for p in a given Set of Primes.” <i>Journal of Group Theory</i> 9, no. 4 (2006):
    427–454. <a href="https://doi.org/10.1515/JGT.2006.028">https://doi.org/10.1515/JGT.2006.028</a>.'
  ieee: 'H. Glöckner, “Locally compact groups built up from p-adic Lie groups, for
    p in a given set of primes,” <i>Journal of Group Theory</i>, vol. 9, no. 4, pp.
    427–454, 2006, doi: <a href="https://doi.org/10.1515/JGT.2006.028">10.1515/JGT.2006.028</a>.'
  mla: Glöckner, Helge. “Locally Compact Groups Built up from P-Adic Lie Groups, for
    p in a given Set of Primes.” <i>Journal of Group Theory</i>, vol. 9, no. 4, 2006,
    pp. 427–454, doi:<a href="https://doi.org/10.1515/JGT.2006.028">10.1515/JGT.2006.028</a>.
  short: H. Glöckner, Journal of Group Theory 9 (2006) 427–454.
date_created: 2026-02-26T11:55:20Z
date_updated: 2026-02-27T07:59:11Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1515/JGT.2006.028
extern: '1'
intvolume: '         9'
issue: '4'
keyword:
- 22D05
- '22E20'
language:
- iso: eng
page: 427–454
publication: Journal of Group Theory
publication_identifier:
  issn:
  - 1433-5883
quality_controlled: '1'
status: public
title: Locally compact groups built up from p-adic Lie groups, for p in a given set
  of primes
type: journal_article
user_id: '178'
volume: 9
year: '2006'
...
---
_id: '64697'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Discontinuous non-linear mappings on locally convex direct limits.
    <i>Publicationes Mathematicae Debrecen</i>. 2006;68(1-2):1–13. doi:<a href="https://doi.org/10.5486/pmd.2006.2714">10.5486/pmd.2006.2714</a>
  apa: Glöckner, H. (2006). Discontinuous non-linear mappings on locally convex direct
    limits. <i>Publicationes Mathematicae Debrecen</i>, <i>68</i>(1–2), 1–13. <a href="https://doi.org/10.5486/pmd.2006.2714">https://doi.org/10.5486/pmd.2006.2714</a>
  bibtex: '@article{Glöckner_2006, title={Discontinuous non-linear mappings on locally
    convex direct limits}, volume={68}, DOI={<a href="https://doi.org/10.5486/pmd.2006.2714">10.5486/pmd.2006.2714</a>},
    number={1–2}, journal={Publicationes Mathematicae Debrecen}, author={Glöckner,
    Helge}, year={2006}, pages={1–13} }'
  chicago: 'Glöckner, Helge. “Discontinuous Non-Linear Mappings on Locally Convex
    Direct Limits.” <i>Publicationes Mathematicae Debrecen</i> 68, no. 1–2 (2006):
    1–13. <a href="https://doi.org/10.5486/pmd.2006.2714">https://doi.org/10.5486/pmd.2006.2714</a>.'
  ieee: 'H. Glöckner, “Discontinuous non-linear mappings on locally convex direct
    limits,” <i>Publicationes Mathematicae Debrecen</i>, vol. 68, no. 1–2, pp. 1–13,
    2006, doi: <a href="https://doi.org/10.5486/pmd.2006.2714">10.5486/pmd.2006.2714</a>.'
  mla: Glöckner, Helge. “Discontinuous Non-Linear Mappings on Locally Convex Direct
    Limits.” <i>Publicationes Mathematicae Debrecen</i>, vol. 68, no. 1–2, 2006, pp.
    1–13, doi:<a href="https://doi.org/10.5486/pmd.2006.2714">10.5486/pmd.2006.2714</a>.
  short: H. Glöckner, Publicationes Mathematicae Debrecen 68 (2006) 1–13.
date_created: 2026-02-26T11:57:08Z
date_updated: 2026-02-27T07:58:41Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.5486/pmd.2006.2714
extern: '1'
intvolume: '        68'
issue: 1-2
keyword:
- 46T20
- 46A13
- 46F05
- 46M40
- '22E65'
language:
- iso: eng
page: 1–13
publication: Publicationes Mathematicae Debrecen
publication_identifier:
  issn:
  - 0033-3883
quality_controlled: '1'
status: public
title: Discontinuous non-linear mappings on locally convex direct limits
type: journal_article
user_id: '178'
volume: 68
year: '2006'
...
---
_id: '64698'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Every smooth p-adic Lie group admits a compatible analytic structure.
    <i>Forum Mathematicum</i>. 2006;18(1):45–84. doi:<a href="https://doi.org/10.1515/FORUM.2006.003">10.1515/FORUM.2006.003</a>
  apa: Glöckner, H. (2006). Every smooth p-adic Lie group admits a compatible analytic
    structure. <i>Forum Mathematicum</i>, <i>18</i>(1), 45–84. <a href="https://doi.org/10.1515/FORUM.2006.003">https://doi.org/10.1515/FORUM.2006.003</a>
  bibtex: '@article{Glöckner_2006, title={Every smooth p-adic Lie group admits a compatible
    analytic structure}, volume={18}, DOI={<a href="https://doi.org/10.1515/FORUM.2006.003">10.1515/FORUM.2006.003</a>},
    number={1}, journal={Forum Mathematicum}, author={Glöckner, Helge}, year={2006},
    pages={45–84} }'
  chicago: 'Glöckner, Helge. “Every Smooth P-Adic Lie Group Admits a Compatible Analytic
    Structure.” <i>Forum Mathematicum</i> 18, no. 1 (2006): 45–84. <a href="https://doi.org/10.1515/FORUM.2006.003">https://doi.org/10.1515/FORUM.2006.003</a>.'
  ieee: 'H. Glöckner, “Every smooth p-adic Lie group admits a compatible analytic
    structure,” <i>Forum Mathematicum</i>, vol. 18, no. 1, pp. 45–84, 2006, doi: <a
    href="https://doi.org/10.1515/FORUM.2006.003">10.1515/FORUM.2006.003</a>.'
  mla: Glöckner, Helge. “Every Smooth P-Adic Lie Group Admits a Compatible Analytic
    Structure.” <i>Forum Mathematicum</i>, vol. 18, no. 1, 2006, pp. 45–84, doi:<a
    href="https://doi.org/10.1515/FORUM.2006.003">10.1515/FORUM.2006.003</a>.
  short: H. Glöckner, Forum Mathematicum 18 (2006) 45–84.
date_created: 2026-02-26T11:58:28Z
date_updated: 2026-02-27T07:57:55Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1515/FORUM.2006.003
extern: '1'
intvolume: '        18'
issue: '1'
keyword:
- '22E20'
- '22E65'
- 22A05
- 22D05
- '22E35'
language:
- iso: eng
page: 45–84
publication: Forum Mathematicum
publication_identifier:
  issn:
  - 0933-7741
quality_controlled: '1'
status: public
title: Every smooth p-adic Lie group admits a compatible analytic structure
type: journal_article
user_id: '178'
volume: 18
year: '2006'
...
---
_id: '64694'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Implicit functions from topological vector spaces to Banach spaces.
    <i>Israel Journal of Mathematics</i>. 2006;155:205–252. doi:<a href="https://doi.org/10.1007/BF02773955">10.1007/BF02773955</a>
  apa: Glöckner, H. (2006). Implicit functions from topological vector spaces to Banach
    spaces. <i>Israel Journal of Mathematics</i>, <i>155</i>, 205–252. <a href="https://doi.org/10.1007/BF02773955">https://doi.org/10.1007/BF02773955</a>
  bibtex: '@article{Glöckner_2006, title={Implicit functions from topological vector
    spaces to Banach spaces}, volume={155}, DOI={<a href="https://doi.org/10.1007/BF02773955">10.1007/BF02773955</a>},
    journal={Israel Journal of Mathematics}, author={Glöckner, Helge}, year={2006},
    pages={205–252} }'
  chicago: 'Glöckner, Helge. “Implicit Functions from Topological Vector Spaces to
    Banach Spaces.” <i>Israel Journal of Mathematics</i> 155 (2006): 205–252. <a href="https://doi.org/10.1007/BF02773955">https://doi.org/10.1007/BF02773955</a>.'
  ieee: 'H. Glöckner, “Implicit functions from topological vector spaces to Banach
    spaces,” <i>Israel Journal of Mathematics</i>, vol. 155, pp. 205–252, 2006, doi:
    <a href="https://doi.org/10.1007/BF02773955">10.1007/BF02773955</a>.'
  mla: Glöckner, Helge. “Implicit Functions from Topological Vector Spaces to Banach
    Spaces.” <i>Israel Journal of Mathematics</i>, vol. 155, 2006, pp. 205–252, doi:<a
    href="https://doi.org/10.1007/BF02773955">10.1007/BF02773955</a>.
  short: H. Glöckner, Israel Journal of Mathematics 155 (2006) 205–252.
date_created: 2026-02-26T11:50:44Z
date_updated: 2026-02-27T08:00:51Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/BF02773955
extern: '1'
intvolume: '       155'
keyword:
- 47J07
- 47S10
- 58B10
- 58C15
- 46T05
language:
- iso: eng
page: 205–252
publication: Israel Journal of Mathematics
publication_identifier:
  issn:
  - 0021-2172
quality_controlled: '1'
status: public
title: Implicit functions from topological vector spaces to Banach spaces
type: journal_article
user_id: '178'
volume: 155
year: '2006'
...
