---
_id: '64640'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Invariant manifolds for finite-dimensional non-Archimedean dynamical
    systems. In: <i>Advances in Non-Archimedean Analysis. 13th International Conference
    on p-Adic Functional Analysis, University of Paderborn, Paderborn, Germany, August
    12–16, 2014</i>. Providence, RI: American Mathematical Society (AMS); 2016:73–90.
    doi:<a href="https://doi.org/10.1090/conm/665/13367">10.1090/conm/665/13367</a>'
  apa: 'Glöckner, H. (2016). Invariant manifolds for finite-dimensional non-Archimedean
    dynamical systems. In <i>Advances in non-Archimedean Analysis. 13th international
    conference on p-adic functional analysis, University of Paderborn, Paderborn,
    Germany, August 12–16, 2014</i> (pp. 73–90). Providence, RI: American Mathematical
    Society (AMS). <a href="https://doi.org/10.1090/conm/665/13367">https://doi.org/10.1090/conm/665/13367</a>'
  bibtex: '@inbook{Glöckner_2016, title={Invariant manifolds for finite-dimensional
    non-Archimedean dynamical systems}, DOI={<a href="https://doi.org/10.1090/conm/665/13367">10.1090/conm/665/13367</a>},
    booktitle={Advances in non-Archimedean Analysis. 13th international conference
    on p-adic functional analysis, University of Paderborn, Paderborn, Germany, August
    12–16, 2014}, publisher={Providence, RI: American Mathematical Society (AMS)},
    author={Glöckner, Helge}, year={2016}, pages={73–90} }'
  chicago: 'Glöckner, Helge. “Invariant Manifolds for Finite-Dimensional Non-Archimedean
    Dynamical Systems.” In <i>Advances in Non-Archimedean Analysis. 13th International
    Conference on p-Adic Functional Analysis, University of Paderborn, Paderborn,
    Germany, August 12–16, 2014</i>, 73–90. Providence, RI: American Mathematical
    Society (AMS), 2016. <a href="https://doi.org/10.1090/conm/665/13367">https://doi.org/10.1090/conm/665/13367</a>.'
  ieee: 'H. Glöckner, “Invariant manifolds for finite-dimensional non-Archimedean
    dynamical systems,” in <i>Advances in non-Archimedean Analysis. 13th international
    conference on p-adic functional analysis, University of Paderborn, Paderborn,
    Germany, August 12–16, 2014</i>, Providence, RI: American Mathematical Society
    (AMS), 2016, pp. 73–90.'
  mla: 'Glöckner, Helge. “Invariant Manifolds for Finite-Dimensional Non-Archimedean
    Dynamical Systems.” <i>Advances in Non-Archimedean Analysis. 13th International
    Conference on p-Adic Functional Analysis, University of Paderborn, Paderborn,
    Germany, August 12–16, 2014</i>, Providence, RI: American Mathematical Society
    (AMS), 2016, pp. 73–90, doi:<a href="https://doi.org/10.1090/conm/665/13367">10.1090/conm/665/13367</a>.'
  short: 'H. Glöckner, in: Advances in Non-Archimedean Analysis. 13th International
    Conference on p-Adic Functional Analysis, University of Paderborn, Paderborn,
    Germany, August 12–16, 2014, Providence, RI: American Mathematical Society (AMS),
    2016, pp. 73–90.'
date_created: 2026-02-26T07:35:50Z
date_updated: 2026-02-26T07:38:20Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1090/conm/665/13367
keyword:
- 37P99
- 37D10
- 46S10
- '26E30'
language:
- iso: eng
page: 73–90
publication: Advances in non-Archimedean Analysis. 13th international conference on
  p-adic functional analysis, University of Paderborn, Paderborn, Germany, August
  12–16, 2014
publication_identifier:
  isbn:
  - 978-1-4704-1988-2; 978-1-4704-3204-1
publisher: 'Providence, RI: American Mathematical Society (AMS)'
quality_controlled: '1'
status: public
title: Invariant manifolds for finite-dimensional non-Archimedean dynamical systems
type: book_chapter
user_id: '178'
year: '2016'
...
---
_id: '64670'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Invariant manifolds for analytic dynamical systems over ultrametric
    fields. <i>Expositiones Mathematicae</i>. 2013;31(2):116–150. doi:<a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>
  apa: Glöckner, H. (2013). Invariant manifolds for analytic dynamical systems over
    ultrametric fields. <i>Expositiones Mathematicae</i>, <i>31</i>(2), 116–150. <a
    href="https://doi.org/10.1016/j.exmath.2013.01.009">https://doi.org/10.1016/j.exmath.2013.01.009</a>
  bibtex: '@article{Glöckner_2013, title={Invariant manifolds for analytic dynamical
    systems over ultrametric fields}, volume={31}, DOI={<a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>},
    number={2}, journal={Expositiones Mathematicae}, author={Glöckner, Helge}, year={2013},
    pages={116–150} }'
  chicago: 'Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over
    Ultrametric Fields.” <i>Expositiones Mathematicae</i> 31, no. 2 (2013): 116–150.
    <a href="https://doi.org/10.1016/j.exmath.2013.01.009">https://doi.org/10.1016/j.exmath.2013.01.009</a>.'
  ieee: 'H. Glöckner, “Invariant manifolds for analytic dynamical systems over ultrametric
    fields,” <i>Expositiones Mathematicae</i>, vol. 31, no. 2, pp. 116–150, 2013,
    doi: <a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>.'
  mla: Glöckner, Helge. “Invariant Manifolds for Analytic Dynamical Systems over Ultrametric
    Fields.” <i>Expositiones Mathematicae</i>, vol. 31, no. 2, 2013, pp. 116–150,
    doi:<a href="https://doi.org/10.1016/j.exmath.2013.01.009">10.1016/j.exmath.2013.01.009</a>.
  short: H. Glöckner, Expositiones Mathematicae 31 (2013) 116–150.
date_created: 2026-02-26T11:01:41Z
date_updated: 2026-02-27T08:25:56Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.exmath.2013.01.009
intvolume: '        31'
issue: '2'
keyword:
- 37D10
- 46S10
- '26E30'
- '22E20'
- 37P20
language:
- iso: eng
page: 116–150
publication: Expositiones Mathematicae
publication_identifier:
  issn:
  - 0723-0869
quality_controlled: '1'
status: public
title: Invariant manifolds for analytic dynamical systems over ultrametric fields
type: journal_article
user_id: '178'
volume: 31
year: '2013'
...
---
_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: '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: '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: '64700'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Hölder continuous homomorphisms between infinite-dimensional Lie
    groups are smooth. <i>Journal of Functional Analysis</i>. 2005;228(2):419–444.
    doi:<a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>
  apa: Glöckner, H. (2005). Hölder continuous homomorphisms between infinite-dimensional
    Lie groups are smooth. <i>Journal of Functional Analysis</i>, <i>228</i>(2), 419–444.
    <a href="https://doi.org/10.1016/j.jfa.2005.06.023">https://doi.org/10.1016/j.jfa.2005.06.023</a>
  bibtex: '@article{Glöckner_2005, title={Hölder continuous homomorphisms between
    infinite-dimensional Lie groups are smooth}, volume={228}, DOI={<a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>},
    number={2}, journal={Journal of Functional Analysis}, author={Glöckner, Helge},
    year={2005}, pages={419–444} }'
  chicago: 'Glöckner, Helge. “Hölder Continuous Homomorphisms between Infinite-Dimensional
    Lie Groups Are Smooth.” <i>Journal of Functional Analysis</i> 228, no. 2 (2005):
    419–444. <a href="https://doi.org/10.1016/j.jfa.2005.06.023">https://doi.org/10.1016/j.jfa.2005.06.023</a>.'
  ieee: 'H. Glöckner, “Hölder continuous homomorphisms between infinite-dimensional
    Lie groups are smooth,” <i>Journal of Functional Analysis</i>, vol. 228, no. 2,
    pp. 419–444, 2005, doi: <a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>.'
  mla: Glöckner, Helge. “Hölder Continuous Homomorphisms between Infinite-Dimensional
    Lie Groups Are Smooth.” <i>Journal of Functional Analysis</i>, vol. 228, no. 2,
    2005, pp. 419–444, doi:<a href="https://doi.org/10.1016/j.jfa.2005.06.023">10.1016/j.jfa.2005.06.023</a>.
  short: H. Glöckner, Journal of Functional Analysis 228 (2005) 419–444.
date_created: 2026-02-26T12:01:38Z
date_updated: 2026-02-27T07:56:38Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.jfa.2005.06.023
extern: '1'
intvolume: '       228'
issue: '2'
keyword:
- '22E65'
- '22E35'
- '26E15'
- '26E20'
- '26E30'
- 46S10
- 46T20
- 58C20
language:
- iso: eng
page: 419–444
publication: Journal of Functional Analysis
publication_identifier:
  issn:
  - 0022-1236
quality_controlled: '1'
status: public
title: Hölder continuous homomorphisms between infinite-dimensional Lie groups are
  smooth
type: journal_article
user_id: '178'
volume: 228
year: '2005'
...