---
_id: '51411'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: E.B.
  full_name: Vinberg, E.B.
  last_name: Vinberg
- first_name: A.
  full_name: Pasquale, A.
  last_name: Pasquale
citation:
  ama: Hilgert J, Vinberg EB, Pasquale A. The Dual Horospherical Radon Transform as
    a Limit of Spherical Radon Transforms. <i>AMS Translations</i>. 2003;210:135-143.
  apa: Hilgert, J., Vinberg, E. B., &#38; Pasquale, A. (2003). The Dual Horospherical
    Radon Transform as a Limit of Spherical Radon Transforms. <i>AMS Translations</i>,
    <i>210</i>, 135–143.
  bibtex: '@article{Hilgert_Vinberg_Pasquale_2003, title={The Dual Horospherical Radon
    Transform as a Limit of Spherical Radon Transforms}, volume={210}, journal={AMS
    Translations}, author={Hilgert, Joachim and Vinberg, E.B. and Pasquale, A.}, year={2003},
    pages={135–143} }'
  chicago: 'Hilgert, Joachim, E.B. Vinberg, and A. Pasquale. “The Dual Horospherical
    Radon Transform as a Limit of Spherical Radon Transforms.” <i>AMS Translations</i>
    210 (2003): 135–43.'
  ieee: J. Hilgert, E. B. Vinberg, and A. Pasquale, “The Dual Horospherical Radon
    Transform as a Limit of Spherical Radon Transforms,” <i>AMS Translations</i>,
    vol. 210, pp. 135–143, 2003.
  mla: Hilgert, Joachim, et al. “The Dual Horospherical Radon Transform as a Limit
    of Spherical Radon Transforms.” <i>AMS Translations</i>, vol. 210, 2003, pp. 135–43.
  short: J. Hilgert, E.B. Vinberg, A. Pasquale, AMS Translations 210 (2003) 135–143.
date_created: 2024-02-19T07:08:38Z
date_updated: 2024-02-20T13:27:50Z
department:
- _id: '91'
extern: '1'
intvolume: '       210'
language:
- iso: eng
page: 135-143
publication: AMS Translations
publication_status: published
status: public
title: The Dual Horospherical Radon Transform as a Limit of Spherical Radon Transforms
type: journal_article
user_id: '49063'
volume: 210
year: '2003'
...
---
_id: '39956'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: 'Rösler M. Dunkl Operators: Theory and Applications. In: <i>Lecture Notes in
    Mathematics</i>. Springer Berlin Heidelberg; 2003:93–135. doi:<a href="https://doi.org/10.1007/3-540-44945-0_3">10.1007/3-540-44945-0_3</a>'
  apa: 'Rösler, M. (2003). Dunkl Operators: Theory and Applications. In <i>Lecture
    Notes in Mathematics</i> (pp. 93–135). Springer Berlin Heidelberg. <a href="https://doi.org/10.1007/3-540-44945-0_3">https://doi.org/10.1007/3-540-44945-0_3</a>'
  bibtex: '@inbook{Rösler_2003, place={Berlin, Heidelberg}, title={Dunkl Operators:
    Theory and Applications}, DOI={<a href="https://doi.org/10.1007/3-540-44945-0_3">10.1007/3-540-44945-0_3</a>},
    booktitle={Lecture Notes in Mathematics}, publisher={Springer Berlin Heidelberg},
    author={Rösler, Margit}, year={2003}, pages={93–135} }'
  chicago: 'Rösler, Margit. “Dunkl Operators: Theory and Applications.” In <i>Lecture
    Notes in Mathematics</i>, 93–135. Berlin, Heidelberg: Springer Berlin Heidelberg,
    2003. <a href="https://doi.org/10.1007/3-540-44945-0_3">https://doi.org/10.1007/3-540-44945-0_3</a>.'
  ieee: 'M. Rösler, “Dunkl Operators: Theory and Applications,” in <i>Lecture Notes
    in Mathematics</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2003, pp.
    93–135.'
  mla: 'Rösler, Margit. “Dunkl Operators: Theory and Applications.” <i>Lecture Notes
    in Mathematics</i>, Springer Berlin Heidelberg, 2003, pp. 93–135, doi:<a href="https://doi.org/10.1007/3-540-44945-0_3">10.1007/3-540-44945-0_3</a>.'
  short: 'M. Rösler, in: Lecture Notes in Mathematics, Springer Berlin Heidelberg,
    Berlin, Heidelberg, 2003, pp. 93–135.'
date_created: 2023-01-25T10:09:14Z
date_updated: 2023-01-26T17:44:19Z
department:
- _id: '555'
doi: 10.1007/3-540-44945-0_3
extern: '1'
language:
- iso: eng
page: 93–135
place: Berlin, Heidelberg
publication: Lecture Notes in Mathematics
publication_identifier:
  isbn:
  - '9783540403753'
  - '9783540449454'
  issn:
  - 0075-8434
publication_status: published
publisher: Springer Berlin Heidelberg
status: public
title: 'Dunkl Operators: Theory and Applications'
type: book_chapter
user_id: '93826'
year: '2003'
...
---
_id: '39957'
abstract:
- lang: eng
  text: It is an open conjecture that generalized Bessel functions associated with
    root systems have a positive product formula for non-negative multiplicity parameters
    of the associated Dunkl operators. In this paper, a partial result towards this
    conjecture is proven, namely a positive radial product formula for the non-symmetric
    counterpart of the generalized Bessel function, the Dunkl kernel. Radial hereby
    means that one of the factors in the product formula is replaced by its mean over
    a sphere. The key to this product formula is a positivity result for the Dunkl-type
    spherical mean operator. It can also be interpreted in the sense that the Dunkl-type
    generalized translation of radial functions is positivity-preserving. As an application,
    we construct Dunkl-type homogeneous Markov processes associated with radial probability
    distributions.
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Rösler M. A positive radial product formula for the Dunkl kernel. <i>Transactions
    of the American Mathematical Society</i>. 2003;355(6):2413–2438. doi:<a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>
  apa: Rösler, M. (2003). A positive radial product formula for the Dunkl kernel.
    <i>Transactions of the American Mathematical Society</i>, <i>355</i>(6), 2413–2438.
    <a href="https://doi.org/10.48550/ARXIV.MATH/0210137">https://doi.org/10.48550/ARXIV.MATH/0210137</a>
  bibtex: '@article{Rösler_2003, title={A positive radial product formula for the
    Dunkl kernel}, volume={355}, DOI={<a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>},
    number={6}, journal={Transactions of the American Mathematical Society}, publisher={American
    Mathematical Society (AMS)}, author={Rösler, Margit}, year={2003}, pages={2413–2438}
    }'
  chicago: 'Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.”
    <i>Transactions of the American Mathematical Society</i> 355, no. 6 (2003): 2413–2438.
    <a href="https://doi.org/10.48550/ARXIV.MATH/0210137">https://doi.org/10.48550/ARXIV.MATH/0210137</a>.'
  ieee: 'M. Rösler, “A positive radial product formula for the Dunkl kernel,” <i>Transactions
    of the American Mathematical Society</i>, vol. 355, no. 6, pp. 2413–2438, 2003,
    doi: <a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>.'
  mla: Rösler, Margit. “A Positive Radial Product Formula for the Dunkl Kernel.” <i>Transactions
    of the American Mathematical Society</i>, vol. 355, no. 6, American Mathematical
    Society (AMS), 2003, pp. 2413–2438, doi:<a href="https://doi.org/10.48550/ARXIV.MATH/0210137">10.48550/ARXIV.MATH/0210137</a>.
  short: M. Rösler, Transactions of the American Mathematical Society 355 (2003) 2413–2438.
date_created: 2023-01-25T10:17:51Z
date_updated: 2023-01-26T17:44:10Z
department:
- _id: '555'
doi: 10.48550/ARXIV.MATH/0210137
extern: '1'
intvolume: '       355'
issue: '6'
language:
- iso: eng
page: 2413–2438
publication: Transactions of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: A positive radial product formula for the Dunkl kernel
type: journal_article
user_id: '93826'
volume: 355
year: '2003'
...
---
_id: '64710'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: 'Glöckner H. <i>Positive Definite Functions on Infinite-Dimensional Convex
    Cones</i>. Vol 789. Providence, RI: American Mathematical Society (AMS); 2003.
    doi:<a href="https://doi.org/10.1090/memo/0789">10.1090/memo/0789</a>'
  apa: 'Glöckner, H. (2003). <i>Positive definite functions on infinite-dimensional
    convex cones</i> (Vol. 789). Providence, RI: American Mathematical Society (AMS).
    <a href="https://doi.org/10.1090/memo/0789">https://doi.org/10.1090/memo/0789</a>'
  bibtex: '@book{Glöckner_2003, series={Memoirs of the American Mathematical Society},
    title={Positive definite functions on infinite-dimensional convex cones}, volume={789},
    DOI={<a href="https://doi.org/10.1090/memo/0789">10.1090/memo/0789</a>}, publisher={Providence,
    RI: American Mathematical Society (AMS)}, author={Glöckner, Helge}, year={2003},
    collection={Memoirs of the American Mathematical Society} }'
  chicago: 'Glöckner, Helge. <i>Positive Definite Functions on Infinite-Dimensional
    Convex Cones</i>. Vol. 789. Memoirs of the American Mathematical Society. Providence,
    RI: American Mathematical Society (AMS), 2003. <a href="https://doi.org/10.1090/memo/0789">https://doi.org/10.1090/memo/0789</a>.'
  ieee: 'H. Glöckner, <i>Positive definite functions on infinite-dimensional convex
    cones</i>, vol. 789. Providence, RI: American Mathematical Society (AMS), 2003.'
  mla: 'Glöckner, Helge. <i>Positive Definite Functions on Infinite-Dimensional Convex
    Cones</i>. Providence, RI: American Mathematical Society (AMS), 2003, doi:<a href="https://doi.org/10.1090/memo/0789">10.1090/memo/0789</a>.'
  short: 'H. Glöckner, Positive Definite Functions on Infinite-Dimensional Convex
    Cones, Providence, RI: American Mathematical Society (AMS), 2003.'
date_created: 2026-02-26T12:14:23Z
date_updated: 2026-02-27T07:49:35Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1090/memo/0789
extern: '1'
intvolume: '       789'
keyword:
- 43A35
- 20M30
- 44A10
- '46E22'
- 43A65
language:
- iso: eng
publication_identifier:
  isbn:
  - 978-0-8218-3256-1; 978-1-4704-0387-4
  issn:
  - 0065-9266
publisher: 'Providence, RI: American Mathematical Society (AMS)'
quality_controlled: '1'
series_title: Memoirs of the American Mathematical Society
status: public
title: Positive definite functions on infinite-dimensional convex cones
type: book
user_id: '178'
volume: 789
year: '2003'
...
---
_id: '64712'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Karl-Hermann
  full_name: Neeb, Karl-Hermann
  last_name: Neeb
citation:
  ama: Glöckner H, Neeb K-H. Banach-Lie quotients, enlargibility, and universal complexifications.
    <i>Journal für die reine und angewandte Mathematik</i>. 2003;560:1–28. doi:<a
    href="https://doi.org/10.1515/crll.2003.056">10.1515/crll.2003.056</a>
  apa: Glöckner, H., &#38; Neeb, K.-H. (2003). Banach-Lie quotients, enlargibility,
    and universal complexifications. <i>Journal Für Die Reine Und Angewandte Mathematik</i>,
    <i>560</i>, 1–28. <a href="https://doi.org/10.1515/crll.2003.056">https://doi.org/10.1515/crll.2003.056</a>
  bibtex: '@article{Glöckner_Neeb_2003, title={Banach-Lie quotients, enlargibility,
    and universal complexifications}, volume={560}, DOI={<a href="https://doi.org/10.1515/crll.2003.056">10.1515/crll.2003.056</a>},
    journal={Journal für die reine und angewandte Mathematik}, author={Glöckner, Helge
    and Neeb, Karl-Hermann}, year={2003}, pages={1–28} }'
  chicago: 'Glöckner, Helge, and Karl-Hermann Neeb. “Banach-Lie Quotients, Enlargibility,
    and Universal Complexifications.” <i>Journal Für Die Reine Und Angewandte Mathematik</i>
    560 (2003): 1–28. <a href="https://doi.org/10.1515/crll.2003.056">https://doi.org/10.1515/crll.2003.056</a>.'
  ieee: 'H. Glöckner and K.-H. Neeb, “Banach-Lie quotients, enlargibility, and universal
    complexifications,” <i>Journal für die reine und angewandte Mathematik</i>, vol.
    560, pp. 1–28, 2003, doi: <a href="https://doi.org/10.1515/crll.2003.056">10.1515/crll.2003.056</a>.'
  mla: Glöckner, Helge, and Karl-Hermann Neeb. “Banach-Lie Quotients, Enlargibility,
    and Universal Complexifications.” <i>Journal Für Die Reine Und Angewandte Mathematik</i>,
    vol. 560, 2003, pp. 1–28, doi:<a href="https://doi.org/10.1515/crll.2003.056">10.1515/crll.2003.056</a>.
  short: H. Glöckner, K.-H. Neeb, Journal Für Die Reine Und Angewandte Mathematik
    560 (2003) 1–28.
date_created: 2026-02-26T12:16:39Z
date_updated: 2026-02-27T07:46:29Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1515/crll.2003.056
extern: '1'
intvolume: '       560'
keyword:
- '22E65'
- '22E15'
- '22E10'
language:
- iso: eng
page: 1–28
publication: Journal für die reine und angewandte Mathematik
publication_identifier:
  issn:
  - 0075-4102
quality_controlled: '1'
status: public
title: Banach-Lie quotients, enlargibility, and universal complexifications
type: journal_article
user_id: '178'
volume: 560
year: '2003'
...
---
_id: '64711'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Lie groups of measurable mappings. <i>Canadian Journal of Mathematics</i>.
    2003;55(5):969–999. doi:<a href="https://doi.org/10.4153/CJM-2003-039-9">10.4153/CJM-2003-039-9</a>
  apa: Glöckner, H. (2003). Lie groups of measurable mappings. <i>Canadian Journal
    of Mathematics</i>, <i>55</i>(5), 969–999. <a href="https://doi.org/10.4153/CJM-2003-039-9">https://doi.org/10.4153/CJM-2003-039-9</a>
  bibtex: '@article{Glöckner_2003, title={Lie groups of measurable mappings.}, volume={55},
    DOI={<a href="https://doi.org/10.4153/CJM-2003-039-9">10.4153/CJM-2003-039-9</a>},
    number={5}, journal={Canadian Journal of Mathematics}, author={Glöckner, Helge},
    year={2003}, pages={969–999} }'
  chicago: 'Glöckner, Helge. “Lie Groups of Measurable Mappings.” <i>Canadian Journal
    of Mathematics</i> 55, no. 5 (2003): 969–999. <a href="https://doi.org/10.4153/CJM-2003-039-9">https://doi.org/10.4153/CJM-2003-039-9</a>.'
  ieee: 'H. Glöckner, “Lie groups of measurable mappings.,” <i>Canadian Journal of
    Mathematics</i>, vol. 55, no. 5, pp. 969–999, 2003, doi: <a href="https://doi.org/10.4153/CJM-2003-039-9">10.4153/CJM-2003-039-9</a>.'
  mla: Glöckner, Helge. “Lie Groups of Measurable Mappings.” <i>Canadian Journal of
    Mathematics</i>, vol. 55, no. 5, 2003, pp. 969–999, doi:<a href="https://doi.org/10.4153/CJM-2003-039-9">10.4153/CJM-2003-039-9</a>.
  short: H. Glöckner, Canadian Journal of Mathematics 55 (2003) 969–999.
date_created: 2026-02-26T12:15:28Z
date_updated: 2026-02-27T07:48:12Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.4153/CJM-2003-039-9
extern: '1'
intvolume: '        55'
issue: '5'
keyword:
- '22E67'
- '46E40'
- 46T20
language:
- iso: eng
page: 969–999
publication: Canadian Journal of Mathematics
publication_identifier:
  issn:
  - 0008-414X
quality_controlled: '1'
status: public
title: Lie groups of measurable mappings.
type: journal_article
user_id: '178'
volume: 55
year: '2003'
...
---
_id: '64709'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Direct limit Lie groups and manifolds. <i>Journal of Mathematics
    of Kyoto University</i>. 2003;43(1):1–26. doi:<a href="https://doi.org/10.1215/kjm/1250283739">10.1215/kjm/1250283739</a>
  apa: Glöckner, H. (2003). Direct limit Lie groups and manifolds. <i>Journal of Mathematics
    of Kyoto University</i>, <i>43</i>(1), 1–26. <a href="https://doi.org/10.1215/kjm/1250283739">https://doi.org/10.1215/kjm/1250283739</a>
  bibtex: '@article{Glöckner_2003, title={Direct limit Lie groups and manifolds},
    volume={43}, DOI={<a href="https://doi.org/10.1215/kjm/1250283739">10.1215/kjm/1250283739</a>},
    number={1}, journal={Journal of Mathematics of Kyoto University}, author={Glöckner,
    Helge}, year={2003}, pages={1–26} }'
  chicago: 'Glöckner, Helge. “Direct Limit Lie Groups and Manifolds.” <i>Journal of
    Mathematics of Kyoto University</i> 43, no. 1 (2003): 1–26. <a href="https://doi.org/10.1215/kjm/1250283739">https://doi.org/10.1215/kjm/1250283739</a>.'
  ieee: 'H. Glöckner, “Direct limit Lie groups and manifolds,” <i>Journal of Mathematics
    of Kyoto University</i>, vol. 43, no. 1, pp. 1–26, 2003, doi: <a href="https://doi.org/10.1215/kjm/1250283739">10.1215/kjm/1250283739</a>.'
  mla: Glöckner, Helge. “Direct Limit Lie Groups and Manifolds.” <i>Journal of Mathematics
    of Kyoto University</i>, vol. 43, no. 1, 2003, pp. 1–26, doi:<a href="https://doi.org/10.1215/kjm/1250283739">10.1215/kjm/1250283739</a>.
  short: H. Glöckner, Journal of Mathematics of Kyoto University 43 (2003) 1–26.
date_created: 2026-02-26T12:12:57Z
date_updated: 2026-02-27T07:51:21Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1215/kjm/1250283739
extern: '1'
intvolume: '        43'
issue: '1'
keyword:
- '22E65'
- 58B25
language:
- iso: eng
page: 1–26
publication: Journal of Mathematics of Kyoto University
publication_identifier:
  issn:
  - 0023-608X
quality_controlled: '1'
status: public
title: Direct limit Lie groups and manifolds
type: journal_article
user_id: '178'
volume: 43
year: '2003'
...
---
_id: '51470'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Representation Theory of Lie Groups. In: Mikhalev AV, Pilz GF,
    eds. <i>Handbook on the Heart of Algebra</i>. Kluwer; 2002.'
  apa: Hilgert, J. (2002). Representation Theory of Lie Groups. In A. V. Mikhalev
    &#38; G. F. Pilz (Eds.), <i>Handbook on the Heart of Algebra</i>. Kluwer.
  bibtex: '@inbook{Hilgert_2002, place={Dordrecht}, title={Representation Theory of
    Lie Groups}, booktitle={Handbook on the Heart of Algebra}, publisher={Kluwer},
    author={Hilgert, Joachim}, editor={Mikhalev, A.V. and Pilz, G.F.}, year={2002}
    }'
  chicago: 'Hilgert, Joachim. “Representation Theory of Lie Groups.” In <i>Handbook
    on the Heart of Algebra</i>, edited by A.V. Mikhalev and G.F. Pilz. Dordrecht:
    Kluwer, 2002.'
  ieee: 'J. Hilgert, “Representation Theory of Lie Groups,” in <i>Handbook on the
    Heart of Algebra</i>, A. V. Mikhalev and G. F. Pilz, Eds. Dordrecht: Kluwer, 2002.'
  mla: Hilgert, Joachim. “Representation Theory of Lie Groups.” <i>Handbook on the
    Heart of Algebra</i>, edited by A.V. Mikhalev and G.F. Pilz, Kluwer, 2002.
  short: 'J. Hilgert, in: A.V. Mikhalev, G.F. Pilz (Eds.), Handbook on the Heart of
    Algebra, Kluwer, Dordrecht, 2002.'
date_created: 2024-02-19T08:16:04Z
date_updated: 2024-02-20T13:28:10Z
department:
- _id: '91'
editor:
- first_name: A.V.
  full_name: Mikhalev, A.V.
  last_name: Mikhalev
- first_name: G.F.
  full_name: Pilz, G.F.
  last_name: Pilz
extern: '1'
language:
- iso: eng
place: Dordrecht
publication: Handbook on the Heart of Algebra
publication_status: published
publisher: Kluwer
status: public
title: Representation Theory of Lie Groups
type: book_chapter
user_id: '49063'
year: '2002'
...
---
_id: '51471'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Lie Groups. In: Mikhalev AV, Pilz GF, eds. <i>Handbook on the Heart
    of Algebra</i>. Kluwer; 2002.'
  apa: Hilgert, J. (2002). Lie Groups. In A. V. Mikhalev &#38; G. F. Pilz (Eds.),
    <i>Handbook on the Heart of Algebra</i>. Kluwer.
  bibtex: '@inbook{Hilgert_2002, place={Dordrecht}, title={Lie Groups}, booktitle={Handbook
    on the Heart of Algebra}, publisher={Kluwer}, author={Hilgert, Joachim}, editor={Mikhalev,
    A.V. and Pilz, G.F.}, year={2002} }'
  chicago: 'Hilgert, Joachim. “Lie Groups.” In <i>Handbook on the Heart of Algebra</i>,
    edited by A.V. Mikhalev and G.F. Pilz. Dordrecht: Kluwer, 2002.'
  ieee: 'J. Hilgert, “Lie Groups,” in <i>Handbook on the Heart of Algebra</i>, A.
    V. Mikhalev and G. F. Pilz, Eds. Dordrecht: Kluwer, 2002.'
  mla: Hilgert, Joachim. “Lie Groups.” <i>Handbook on the Heart of Algebra</i>, edited
    by A.V. Mikhalev and G.F. Pilz, Kluwer, 2002.
  short: 'J. Hilgert, in: A.V. Mikhalev, G.F. Pilz (Eds.), Handbook on the Heart of
    Algebra, Kluwer, Dordrecht, 2002.'
date_created: 2024-02-19T08:17:01Z
date_updated: 2024-02-20T13:28:14Z
department:
- _id: '91'
editor:
- first_name: A.V.
  full_name: Mikhalev, A.V.
  last_name: Mikhalev
- first_name: G.F.
  full_name: Pilz, G.F.
  last_name: Pilz
extern: '1'
language:
- iso: eng
place: Dordrecht
publication: Handbook on the Heart of Algebra
publication_status: published
publisher: Kluwer
status: public
title: Lie Groups
type: book_chapter
user_id: '49063'
year: '2002'
...
---
_id: '51412'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: D.
  full_name: Mayer, D.
  last_name: Mayer
citation:
  ama: Hilgert J, Mayer D. Transfer Operators and Dynamical Zeta Functions for a Class
    of Lattice Spin Models. <i>Commun Math Phys</i>. 2002;232:19-58.
  apa: Hilgert, J., &#38; Mayer, D. (2002). Transfer Operators and Dynamical Zeta
    Functions for a Class of Lattice Spin Models. <i>Commun Math. Phys.</i>, <i>232</i>,
    19–58.
  bibtex: '@article{Hilgert_Mayer_2002, title={Transfer Operators and Dynamical Zeta
    Functions for a Class of Lattice Spin Models}, volume={232}, journal={Commun Math.
    Phys.}, author={Hilgert, Joachim and Mayer, D.}, year={2002}, pages={19–58} }'
  chicago: 'Hilgert, Joachim, and D. Mayer. “Transfer Operators and Dynamical Zeta
    Functions for a Class of Lattice Spin Models.” <i>Commun Math. Phys.</i> 232 (2002):
    19–58.'
  ieee: J. Hilgert and D. Mayer, “Transfer Operators and Dynamical Zeta Functions
    for a Class of Lattice Spin Models,” <i>Commun Math. Phys.</i>, vol. 232, pp.
    19–58, 2002.
  mla: Hilgert, Joachim, and D. Mayer. “Transfer Operators and Dynamical Zeta Functions
    for a Class of Lattice Spin Models.” <i>Commun Math. Phys.</i>, vol. 232, 2002,
    pp. 19–58.
  short: J. Hilgert, D. Mayer, Commun Math. Phys. 232 (2002) 19–58.
date_created: 2024-02-19T07:09:18Z
date_updated: 2024-02-20T13:28:20Z
department:
- _id: '91'
extern: '1'
intvolume: '       232'
language:
- iso: eng
page: 19-58
publication: Commun Math. Phys.
publication_status: published
status: public
title: Transfer Operators and Dynamical Zeta Functions for a Class of Lattice Spin
  Models
type: journal_article
user_id: '49063'
volume: 232
year: '2002'
...
---
_id: '51413'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: A.
  full_name: Pasquale, A.
  last_name: Pasquale
- first_name: E.B.
  full_name: Vinberg, E.B.
  last_name: Vinberg
citation:
  ama: Hilgert J, Pasquale A, Vinberg EB. The Dual Horospherical Radon Transform for
    Polynomials. <i>Moscow Math J</i>. 2002;2:113-126.
  apa: Hilgert, J., Pasquale, A., &#38; Vinberg, E. B. (2002). The Dual Horospherical
    Radon Transform for Polynomials. <i>Moscow Math. J.</i>, <i>2</i>, 113–126.
  bibtex: '@article{Hilgert_Pasquale_Vinberg_2002, title={The Dual Horospherical Radon
    Transform for Polynomials}, volume={2}, journal={Moscow Math. J.}, author={Hilgert,
    Joachim and Pasquale, A. and Vinberg, E.B.}, year={2002}, pages={113–126} }'
  chicago: 'Hilgert, Joachim, A. Pasquale, and E.B. Vinberg. “The Dual Horospherical
    Radon Transform for Polynomials.” <i>Moscow Math. J.</i> 2 (2002): 113–26.'
  ieee: J. Hilgert, A. Pasquale, and E. B. Vinberg, “The Dual Horospherical Radon
    Transform for Polynomials,” <i>Moscow Math. J.</i>, vol. 2, pp. 113–126, 2002.
  mla: Hilgert, Joachim, et al. “The Dual Horospherical Radon Transform for Polynomials.”
    <i>Moscow Math. J.</i>, vol. 2, 2002, pp. 113–26.
  short: J. Hilgert, A. Pasquale, E.B. Vinberg, Moscow Math. J. 2 (2002) 113–126.
date_created: 2024-02-19T07:10:09Z
date_updated: 2024-02-20T13:28:17Z
department:
- _id: '91'
extern: '1'
intvolume: '         2'
language:
- iso: eng
page: 113-126
publication: Moscow Math. J.
publication_status: published
status: public
title: The Dual Horospherical Radon Transform for Polynomials
type: journal_article
user_id: '49063'
volume: 2
year: '2002'
...
---
_id: '51579'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. Juhl, A. Cohomological Theory of Dynamical Zeta Functions  (Birkhäuser,
    Boston, 2000). <i>JBer DMV</i>. 2002;104.
  apa: Hilgert, J. (2002). Juhl, A. Cohomological Theory of Dynamical Zeta Functions 
    (Birkhäuser, Boston, 2000). In <i>JBer. DMV</i> (Vol. 104).
  bibtex: '@article{Hilgert_2002, title={Juhl, A. Cohomological Theory of Dynamical
    Zeta Functions  (Birkhäuser, Boston, 2000)}, volume={104}, journal={JBer. DMV},
    author={Hilgert, Joachim}, year={2002} }'
  chicago: Hilgert, Joachim. “Juhl, A. Cohomological Theory of Dynamical Zeta Functions 
    (Birkhäuser, Boston, 2000).” <i>JBer. DMV</i>, 2002.
  ieee: J. Hilgert, “Juhl, A. Cohomological Theory of Dynamical Zeta Functions  (Birkhäuser,
    Boston, 2000),” <i>JBer. DMV</i>, vol. 104. 2002.
  mla: Hilgert, Joachim. “Juhl, A. Cohomological Theory of Dynamical Zeta Functions 
    (Birkhäuser, Boston, 2000).” <i>JBer. DMV</i>, vol. 104, 2002.
  short: J. Hilgert, JBer. DMV 104 (2002).
date_created: 2024-02-20T12:21:29Z
date_updated: 2024-02-20T13:28:03Z
department:
- _id: '91'
extern: '1'
intvolume: '       104'
language:
- iso: eng
publication: JBer. DMV
publication_status: published
status: public
title: Juhl, A. Cohomological Theory of Dynamical Zeta Functions  (Birkhäuser, Boston,
  2000)
type: review
user_id: '49063'
volume: 104
year: '2002'
...
---
_id: '51580'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. Neeb, K.-H. Holomorphy and Convexity in Lie Theory  (De Gruyter,
    Berlin, 2000). <i>Semigroup Forum</i>. 2002;64.
  apa: Hilgert, J. (2002). Neeb, K.-H. Holomorphy and Convexity in Lie Theory  (De
    Gruyter, Berlin, 2000). In <i>Semigroup Forum</i> (Vol. 64).
  bibtex: '@article{Hilgert_2002, title={Neeb, K.-H. Holomorphy and Convexity in Lie
    Theory  (De Gruyter, Berlin, 2000)}, volume={64}, journal={Semigroup Forum}, author={Hilgert,
    Joachim}, year={2002} }'
  chicago: Hilgert, Joachim. “Neeb, K.-H. Holomorphy and Convexity in Lie Theory 
    (De Gruyter, Berlin, 2000).” <i>Semigroup Forum</i>, 2002.
  ieee: J. Hilgert, “Neeb, K.-H. Holomorphy and Convexity in Lie Theory  (De Gruyter,
    Berlin, 2000),” <i>Semigroup Forum</i>, vol. 64. 2002.
  mla: Hilgert, Joachim. “Neeb, K.-H. Holomorphy and Convexity in Lie Theory  (De
    Gruyter, Berlin, 2000).” <i>Semigroup Forum</i>, vol. 64, 2002.
  short: J. Hilgert, Semigroup Forum 64 (2002).
date_created: 2024-02-20T12:21:58Z
date_updated: 2024-02-20T13:27:59Z
department:
- _id: '91'
extern: '1'
intvolume: '        64'
language:
- iso: eng
publication: Semigroup Forum
publication_status: published
status: public
title: Neeb, K.-H. Holomorphy and Convexity in Lie Theory  (De Gruyter, Berlin, 2000)
type: review
user_id: '49063'
volume: 64
year: '2002'
...
---
_id: '51591'
citation:
  ama: Hilgert J, Strasburger A, Neeb K-H, Wojtynski W, eds. <i>Geometry and Analysis
    on Finite- and Infinite-Dimensional Lie Groups</i>. Banach Center Publications
    55; 2002.
  apa: Hilgert, J., Strasburger, A., Neeb, K.-H., &#38; Wojtynski, W. (Eds.). (2002).
    <i>Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups</i>. Banach
    Center Publications 55.
  bibtex: '@book{Hilgert_Strasburger_Neeb_Wojtynski_2002, title={Geometry and Analysis
    on Finite- and Infinite-Dimensional Lie Groups}, publisher={Banach Center Publications
    55}, year={2002} }'
  chicago: Hilgert, Joachim, A. Strasburger, K.-H. Neeb, and W. Wojtynski, eds. <i>Geometry
    and Analysis on Finite- and Infinite-Dimensional Lie Groups</i>. Banach Center
    Publications 55, 2002.
  ieee: J. Hilgert, A. Strasburger, K.-H. Neeb, and W. Wojtynski, Eds., <i>Geometry
    and Analysis on Finite- and Infinite-Dimensional Lie Groups</i>. Banach Center
    Publications 55, 2002.
  mla: Hilgert, Joachim, et al., editors. <i>Geometry and Analysis on Finite- and
    Infinite-Dimensional Lie Groups</i>. Banach Center Publications 55, 2002.
  short: J. Hilgert, A. Strasburger, K.-H. Neeb, W. Wojtynski, eds., Geometry and
    Analysis on Finite- and Infinite-Dimensional Lie Groups, Banach Center Publications
    55, 2002.
date_created: 2024-02-20T12:45:44Z
date_updated: 2024-02-20T13:27:55Z
department:
- _id: '91'
editor:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: A.
  full_name: Strasburger, A.
  last_name: Strasburger
- first_name: K.-H.
  full_name: Neeb, K.-H.
  last_name: Neeb
- first_name: W.
  full_name: Wojtynski, W.
  last_name: Wojtynski
extern: '1'
language:
- iso: eng
publication_status: published
publisher: Banach Center Publications 55
status: public
title: Geometry and Analysis on Finite- and Infinite-Dimensional Lie Groups
type: book_editor
user_id: '49063'
year: '2002'
...
---
_id: '39959'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Marcel
  full_name: de Jeu, Marcel
  last_name: de Jeu
citation:
  ama: Rösler M, de Jeu M. Asymptotic Analysis for the Dunkl Kernel. <i>Journal of
    Approximation Theory</i>. 2002;119(1):110-126. doi:<a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>
  apa: Rösler, M., &#38; de Jeu, M. (2002). Asymptotic Analysis for the Dunkl Kernel.
    <i>Journal of Approximation Theory</i>, <i>119</i>(1), 110–126. <a href="https://doi.org/10.1006/jath.2002.3722">https://doi.org/10.1006/jath.2002.3722</a>
  bibtex: '@article{Rösler_de Jeu_2002, title={Asymptotic Analysis for the Dunkl Kernel},
    volume={119}, DOI={<a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>},
    number={1}, journal={Journal of Approximation Theory}, publisher={Elsevier BV},
    author={Rösler, Margit and de Jeu, Marcel}, year={2002}, pages={110–126} }'
  chicago: 'Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl
    Kernel.” <i>Journal of Approximation Theory</i> 119, no. 1 (2002): 110–26. <a
    href="https://doi.org/10.1006/jath.2002.3722">https://doi.org/10.1006/jath.2002.3722</a>.'
  ieee: 'M. Rösler and M. de Jeu, “Asymptotic Analysis for the Dunkl Kernel,” <i>Journal
    of Approximation Theory</i>, vol. 119, no. 1, pp. 110–126, 2002, doi: <a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>.'
  mla: Rösler, Margit, and Marcel de Jeu. “Asymptotic Analysis for the Dunkl Kernel.”
    <i>Journal of Approximation Theory</i>, vol. 119, no. 1, Elsevier BV, 2002, pp.
    110–26, doi:<a href="https://doi.org/10.1006/jath.2002.3722">10.1006/jath.2002.3722</a>.
  short: M. Rösler, M. de Jeu, Journal of Approximation Theory 119 (2002) 110–126.
date_created: 2023-01-25T10:20:13Z
date_updated: 2023-01-26T17:44:02Z
department:
- _id: '555'
doi: 10.1006/jath.2002.3722
extern: '1'
intvolume: '       119'
issue: '1'
keyword:
- Applied Mathematics
- General Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 110-126
publication: Journal of Approximation Theory
publication_identifier:
  issn:
  - 0021-9045
publication_status: published
publisher: Elsevier BV
status: public
title: Asymptotic Analysis for the Dunkl Kernel
type: journal_article
user_id: '93826'
volume: 119
year: '2002'
...
---
_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'
...
---
_id: '64715'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Jörg
  full_name: Winkelmann, Jörg
  last_name: Winkelmann
citation:
  ama: 'Glöckner H, Winkelmann J. A property of locally compact groups. In: <i>Recent
    Advances in Lie Theory. Selected Contributions to the 1st Colloquium on Lie Theory
    and Applications, Vigo, Spain, July 2000</i>. Lemgo: Heldermann Verlag; 2002:205–210.'
  apa: 'Glöckner, H., &#38; Winkelmann, J. (2002). A property of locally compact groups.
    In <i>Recent advances in Lie theory. Selected contributions to the 1st colloquium
    on Lie theory and applications, Vigo, Spain, July 2000</i> (pp. 205–210). Lemgo:
    Heldermann Verlag.'
  bibtex: '@inbook{Glöckner_Winkelmann_2002, title={A property of locally compact
    groups}, booktitle={Recent advances in Lie theory. Selected contributions to the
    1st colloquium on Lie theory and applications, Vigo, Spain, July 2000}, publisher={Lemgo:
    Heldermann Verlag}, author={Glöckner, Helge and Winkelmann, Jörg}, year={2002},
    pages={205–210} }'
  chicago: 'Glöckner, Helge, and Jörg Winkelmann. “A Property of Locally Compact Groups.”
    In <i>Recent Advances in Lie Theory. Selected Contributions to the 1st Colloquium
    on Lie Theory and Applications, Vigo, Spain, July 2000</i>, 205–210. Lemgo: Heldermann
    Verlag, 2002.'
  ieee: 'H. Glöckner and J. Winkelmann, “A property of locally compact groups,” in
    <i>Recent advances in Lie theory. Selected contributions to the 1st colloquium
    on Lie theory and applications, Vigo, Spain, July 2000</i>, Lemgo: Heldermann
    Verlag, 2002, pp. 205–210.'
  mla: 'Glöckner, Helge, and Jörg Winkelmann. “A Property of Locally Compact Groups.”
    <i>Recent Advances in Lie Theory. Selected Contributions to the 1st Colloquium
    on Lie Theory and Applications, Vigo, Spain, July 2000</i>, Lemgo: Heldermann
    Verlag, 2002, pp. 205–210.'
  short: 'H. Glöckner, J. Winkelmann, in: Recent Advances in Lie Theory. Selected
    Contributions to the 1st Colloquium on Lie Theory and Applications, Vigo, Spain,
    July 2000, Lemgo: Heldermann Verlag, 2002, pp. 205–210.'
date_created: 2026-02-26T12:22:05Z
date_updated: 2026-02-26T12:22:54Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
extern: '1'
keyword:
- 22D05
language:
- iso: eng
page: 205–210
publication: Recent advances in Lie theory. Selected contributions to the 1st colloquium
  on Lie theory and applications, Vigo, Spain, July 2000
publication_identifier:
  isbn:
  - 3-88538-225-3
publisher: 'Lemgo: Heldermann Verlag'
quality_controlled: '1'
status: public
title: A property of locally compact groups
type: book_chapter
user_id: '178'
year: '2002'
...
---
_id: '64717'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Real and p-adic Lie algebra functors on the category of topological
    groups. <i>Pacific Journal of Mathematics</i>. 2002;203(2):321–368. doi:<a href="https://doi.org/10.2140/pjm.2002.203.321">10.2140/pjm.2002.203.321</a>
  apa: Glöckner, H. (2002). Real and p-adic Lie algebra functors on the category of
    topological groups. <i>Pacific Journal of Mathematics</i>, <i>203</i>(2), 321–368.
    <a href="https://doi.org/10.2140/pjm.2002.203.321">https://doi.org/10.2140/pjm.2002.203.321</a>
  bibtex: '@article{Glöckner_2002, title={Real and p-adic Lie algebra functors on
    the category of topological groups.}, volume={203}, DOI={<a href="https://doi.org/10.2140/pjm.2002.203.321">10.2140/pjm.2002.203.321</a>},
    number={2}, journal={Pacific Journal of Mathematics}, author={Glöckner, Helge},
    year={2002}, pages={321–368} }'
  chicago: 'Glöckner, Helge. “Real and P-Adic Lie Algebra Functors on the Category
    of Topological Groups.” <i>Pacific Journal of Mathematics</i> 203, no. 2 (2002):
    321–368. <a href="https://doi.org/10.2140/pjm.2002.203.321">https://doi.org/10.2140/pjm.2002.203.321</a>.'
  ieee: 'H. Glöckner, “Real and p-adic Lie algebra functors on the category of topological
    groups.,” <i>Pacific Journal of Mathematics</i>, vol. 203, no. 2, pp. 321–368,
    2002, doi: <a href="https://doi.org/10.2140/pjm.2002.203.321">10.2140/pjm.2002.203.321</a>.'
  mla: Glöckner, Helge. “Real and P-Adic Lie Algebra Functors on the Category of Topological
    Groups.” <i>Pacific Journal of Mathematics</i>, vol. 203, no. 2, 2002, pp. 321–368,
    doi:<a href="https://doi.org/10.2140/pjm.2002.203.321">10.2140/pjm.2002.203.321</a>.
  short: H. Glöckner, Pacific Journal of Mathematics 203 (2002) 321–368.
date_created: 2026-02-26T12:24:27Z
date_updated: 2026-02-27T07:44:07Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.2140/pjm.2002.203.321
extern: '1'
intvolume: '       203'
issue: '2'
keyword:
- 22A05
- 20F40
- 14L10
- '20E10'
- 17B65
- '22E60'
- '20E18'
- '22E65'
- 54H11
language:
- iso: eng
page: 321–368
publication: Pacific Journal of Mathematics
publication_identifier:
  issn:
  - 1945-5844
quality_controlled: '1'
status: public
title: Real and p-adic Lie algebra functors on the category of topological groups.
type: journal_article
user_id: '178'
volume: 203
year: '2002'
...
---
_id: '64714'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Lie group structures on quotient groups and universal complexifications
    for infinite-dimensional Lie groups. <i>Journal of Functional Analysis</i>. 2002;194(2):347–409.
    doi:<a href="https://doi.org/10.1006/jfan.2002.3942">10.1006/jfan.2002.3942</a>
  apa: Glöckner, H. (2002). Lie group structures on quotient groups and universal
    complexifications for infinite-dimensional Lie groups. <i>Journal of Functional
    Analysis</i>, <i>194</i>(2), 347–409. <a href="https://doi.org/10.1006/jfan.2002.3942">https://doi.org/10.1006/jfan.2002.3942</a>
  bibtex: '@article{Glöckner_2002, title={Lie group structures on quotient groups
    and universal complexifications for infinite-dimensional Lie groups}, volume={194},
    DOI={<a href="https://doi.org/10.1006/jfan.2002.3942">10.1006/jfan.2002.3942</a>},
    number={2}, journal={Journal of Functional Analysis}, author={Glöckner, Helge},
    year={2002}, pages={347–409} }'
  chicago: 'Glöckner, Helge. “Lie Group Structures on Quotient Groups and Universal
    Complexifications for Infinite-Dimensional Lie Groups.” <i>Journal of Functional
    Analysis</i> 194, no. 2 (2002): 347–409. <a href="https://doi.org/10.1006/jfan.2002.3942">https://doi.org/10.1006/jfan.2002.3942</a>.'
  ieee: 'H. Glöckner, “Lie group structures on quotient groups and universal complexifications
    for infinite-dimensional Lie groups,” <i>Journal of Functional Analysis</i>, vol.
    194, no. 2, pp. 347–409, 2002, doi: <a href="https://doi.org/10.1006/jfan.2002.3942">10.1006/jfan.2002.3942</a>.'
  mla: Glöckner, Helge. “Lie Group Structures on Quotient Groups and Universal Complexifications
    for Infinite-Dimensional Lie Groups.” <i>Journal of Functional Analysis</i>, vol.
    194, no. 2, 2002, pp. 347–409, doi:<a href="https://doi.org/10.1006/jfan.2002.3942">10.1006/jfan.2002.3942</a>.
  short: H. Glöckner, Journal of Functional Analysis 194 (2002) 347–409.
date_created: 2026-02-26T12:20:17Z
date_updated: 2026-02-27T07:44:50Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1006/jfan.2002.3942
extern: '1'
intvolume: '       194'
issue: '2'
keyword:
- '22E65'
language:
- iso: eng
page: 347–409
publication: Journal of Functional Analysis
publication_identifier:
  issn:
  - 0022-1236
quality_controlled: '1'
status: public
title: Lie group structures on quotient groups and universal complexifications for
  infinite-dimensional Lie groups
type: journal_article
user_id: '178'
volume: 194
year: '2002'
...
---
_id: '64721'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Algebras whose groups of units are Lie groups. <i>Studia Mathematica</i>.
    2002;153(2):147–177. doi:<a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>
  apa: Glöckner, H. (2002). Algebras whose groups of units are Lie groups. <i>Studia
    Mathematica</i>, <i>153</i>(2), 147–177. <a href="https://doi.org/10.4064/sm153-2-4">https://doi.org/10.4064/sm153-2-4</a>
  bibtex: '@article{Glöckner_2002, title={Algebras whose groups of units are Lie groups},
    volume={153}, DOI={<a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>},
    number={2}, journal={Studia Mathematica}, author={Glöckner, Helge}, year={2002},
    pages={147–177} }'
  chicago: 'Glöckner, Helge. “Algebras Whose Groups of Units Are Lie Groups.” <i>Studia
    Mathematica</i> 153, no. 2 (2002): 147–177. <a href="https://doi.org/10.4064/sm153-2-4">https://doi.org/10.4064/sm153-2-4</a>.'
  ieee: 'H. Glöckner, “Algebras whose groups of units are Lie groups,” <i>Studia Mathematica</i>,
    vol. 153, no. 2, pp. 147–177, 2002, doi: <a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>.'
  mla: Glöckner, Helge. “Algebras Whose Groups of Units Are Lie Groups.” <i>Studia
    Mathematica</i>, vol. 153, no. 2, 2002, pp. 147–177, doi:<a href="https://doi.org/10.4064/sm153-2-4">10.4064/sm153-2-4</a>.
  short: H. Glöckner, Studia Mathematica 153 (2002) 147–177.
date_created: 2026-02-26T13:00:20Z
date_updated: 2026-02-27T07:42:21Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.4064/sm153-2-4
extern: '1'
intvolume: '       153'
issue: '2'
keyword:
- '22E65'
- '46E25'
- 46F05
- 46H05
- 46H30
language:
- iso: eng
page: 147–177
publication: Studia Mathematica
publication_identifier:
  issn:
  - 0039-3223
quality_controlled: '1'
status: public
title: Algebras whose groups of units are Lie groups
type: journal_article
user_id: '178'
volume: 153
year: '2002'
...
