---
_id: '64746'
article_type: original
author:
- first_name: Rafael
  full_name: Dahmen, Rafael
  last_name: Dahmen
citation:
  ama: Dahmen R. Analytic mappings between LB-spaces and applications in infinite-dimensional
    Lie theory. <i>Mathematische Zeitschrift</i>. 2010;266(1):115–140. doi:<a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>
  apa: Dahmen, R. (2010). Analytic mappings between LB-spaces and applications in
    infinite-dimensional Lie theory. <i>Mathematische Zeitschrift</i>, <i>266</i>(1),
    115–140. <a href="https://doi.org/10.1007/s00209-009-0557-0">https://doi.org/10.1007/s00209-009-0557-0</a>
  bibtex: '@article{Dahmen_2010, title={Analytic mappings between LB-spaces and applications
    in infinite-dimensional Lie theory}, volume={266}, DOI={<a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>},
    number={1}, journal={Mathematische Zeitschrift}, author={Dahmen, Rafael}, year={2010},
    pages={115–140} }'
  chicago: 'Dahmen, Rafael. “Analytic Mappings between LB-Spaces and Applications
    in Infinite-Dimensional Lie Theory.” <i>Mathematische Zeitschrift</i> 266, no.
    1 (2010): 115–140. <a href="https://doi.org/10.1007/s00209-009-0557-0">https://doi.org/10.1007/s00209-009-0557-0</a>.'
  ieee: 'R. Dahmen, “Analytic mappings between LB-spaces and applications in infinite-dimensional
    Lie theory,” <i>Mathematische Zeitschrift</i>, vol. 266, no. 1, pp. 115–140, 2010,
    doi: <a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>.'
  mla: Dahmen, Rafael. “Analytic Mappings between LB-Spaces and Applications in Infinite-Dimensional
    Lie Theory.” <i>Mathematische Zeitschrift</i>, vol. 266, no. 1, 2010, pp. 115–140,
    doi:<a href="https://doi.org/10.1007/s00209-009-0557-0">10.1007/s00209-009-0557-0</a>.
  short: R. Dahmen, Mathematische Zeitschrift 266 (2010) 115–140.
date_created: 2026-02-26T20:11:17Z
date_updated: 2026-02-27T07:35:57Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s00209-009-0557-0
intvolume: '       266'
issue: '1'
keyword:
- '22E65'
- 46G20
- '26E15'
- '26E20'
- 46T10
- 46T25
language:
- iso: eng
page: 115–140
publication: Mathematische Zeitschrift
publication_identifier:
  issn:
  - 0025-5874
quality_controlled: '1'
status: public
title: Analytic mappings between LB-spaces and applications in infinite-dimensional
  Lie theory
type: journal_article
user_id: '178'
volume: 266
year: '2010'
...
---
_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: '64708'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Lie groups of germs of analytic mappings. In: <i>Infinite Dimensional
    Groups and Manifolds. Based on the 70th Meeting of Theoretical Physicists and
    Mathematicians at IRMA, Strasbourg, France, May 2004.</i> Berlin: de Gruyter;
    2004:1–16.'
  apa: 'Glöckner, H. (2004). Lie groups of germs of analytic mappings. In <i>Infinite
    dimensional groups and manifolds. Based on the 70th meeting of theoretical physicists
    and mathematicians at IRMA, Strasbourg, France, May 2004.</i> (pp. 1–16). Berlin:
    de Gruyter.'
  bibtex: '@inbook{Glöckner_2004, title={Lie groups of germs of analytic mappings},
    booktitle={Infinite dimensional groups and manifolds. Based on the 70th meeting
    of theoretical physicists and mathematicians at IRMA, Strasbourg, France, May
    2004.}, publisher={Berlin: de Gruyter}, author={Glöckner, Helge}, year={2004},
    pages={1–16} }'
  chicago: 'Glöckner, Helge. “Lie Groups of Germs of Analytic Mappings.” In <i>Infinite
    Dimensional Groups and Manifolds. Based on the 70th Meeting of Theoretical Physicists
    and Mathematicians at IRMA, Strasbourg, France, May 2004.</i>, 1–16. Berlin: de
    Gruyter, 2004.'
  ieee: 'H. Glöckner, “Lie groups of germs of analytic mappings,” in <i>Infinite dimensional
    groups and manifolds. Based on the 70th meeting of theoretical physicists and
    mathematicians at IRMA, Strasbourg, France, May 2004.</i>, Berlin: de Gruyter,
    2004, pp. 1–16.'
  mla: 'Glöckner, Helge. “Lie Groups of Germs of Analytic Mappings.” <i>Infinite Dimensional
    Groups and Manifolds. Based on the 70th Meeting of Theoretical Physicists and
    Mathematicians at IRMA, Strasbourg, France, May 2004.</i>, Berlin: de Gruyter,
    2004, pp. 1–16.'
  short: 'H. Glöckner, in: Infinite Dimensional Groups and Manifolds. Based on the
    70th Meeting of Theoretical Physicists and Mathematicians at IRMA, Strasbourg,
    France, May 2004., Berlin: de Gruyter, 2004, pp. 1–16.'
date_created: 2026-02-26T12:11:48Z
date_updated: 2026-02-26T12:12:26Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
keyword:
- '22E65'
- '22E67'
- 46H05
- 46T25
language:
- iso: eng
page: 1–16
publication: Infinite dimensional groups and manifolds. Based on the 70th meeting
  of theoretical physicists and mathematicians at IRMA, Strasbourg, France, May 2004.
publication_identifier:
  isbn:
  - 3-11-018186-X
publisher: 'Berlin: de Gruyter'
quality_controlled: '1'
status: public
title: Lie groups of germs of analytic mappings
type: book_chapter
user_id: '178'
year: '2004'
...
---
_id: '64716'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. Infinite-dimensional Lie groups without completeness restrictions.
    In: <i>Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Proceedings
    of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo, Poland, September 4–15,
    2000</i>. Warszawa: Polish Academy of Sciences, Institute of Mathematics; 2002:43–59.'
  apa: 'Glöckner, H. (2002). Infinite-dimensional Lie groups without completeness
    restrictions. In <i>Geometry and analysis on finite- and infinite-dimensional
    Lie groups. Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo,
    Poland, September 4–15, 2000</i> (pp. 43–59). Warszawa: Polish Academy of Sciences,
    Institute of Mathematics.'
  bibtex: '@inbook{Glöckner_2002, title={Infinite-dimensional Lie groups without completeness
    restrictions}, booktitle={Geometry and analysis on finite- and infinite-dimensional
    Lie groups. Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo,
    Poland, September 4–15, 2000}, publisher={Warszawa: Polish Academy of Sciences,
    Institute of Mathematics}, author={Glöckner, Helge}, year={2002}, pages={43–59}
    }'
  chicago: 'Glöckner, Helge. “Infinite-Dimensional Lie Groups without Completeness
    Restrictions.” In <i>Geometry and Analysis on Finite- and Infinite-Dimensional
    Lie Groups. Proceedings of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo,
    Poland, September 4–15, 2000</i>, 43–59. Warszawa: Polish Academy of Sciences,
    Institute of Mathematics, 2002.'
  ieee: 'H. Glöckner, “Infinite-dimensional Lie groups without completeness restrictions,”
    in <i>Geometry and analysis on finite- and infinite-dimensional Lie groups. Proceedings
    of the workshop on Lie groups and Lie algebras, Bȩdlewo, Poland, September 4–15,
    2000</i>, Warszawa: Polish Academy of Sciences, Institute of Mathematics, 2002,
    pp. 43–59.'
  mla: 'Glöckner, Helge. “Infinite-Dimensional Lie Groups without Completeness Restrictions.”
    <i>Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups. Proceedings
    of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo, Poland, September 4–15,
    2000</i>, Warszawa: Polish Academy of Sciences, Institute of Mathematics, 2002,
    pp. 43–59.'
  short: 'H. Glöckner, in: Geometry and Analysis on Finite- and Infinite-Dimensional
    Lie Groups. Proceedings of the Workshop on Lie Groups and Lie Algebras, Bȩdlewo,
    Poland, September 4–15, 2000, Warszawa: Polish Academy of Sciences, Institute
    of Mathematics, 2002, pp. 43–59.'
date_created: 2026-02-26T12:23:24Z
date_updated: 2026-02-26T12:24:02Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
keyword:
- 58C20
- '22E65'
- 46T20
- 46T25
language:
- iso: eng
page: 43–59
publication: Geometry and analysis on finite- and infinite-dimensional Lie groups.
  Proceedings of the workshop on Lie groups and Lie algebras, Bȩdlewo, Poland, September
  4–15, 2000
publisher: 'Warszawa: Polish Academy of Sciences, Institute of Mathematics'
quality_controlled: '1'
status: public
title: Infinite-dimensional Lie groups without completeness restrictions
type: book_chapter
user_id: '178'
year: '2002'
...