Invariant function spaces on homogeneous manifolds of Lie groups and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1993
|
| Series: | Translations of mathematical monographs
126 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 131 S. |
| ISBN: | 0821846043 |
Staff View
MARC
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| 100 | 1 | |a Agranovskij, Mark L. |d 1946- |e Verfasser |0 (DE-588)133148491 |4 aut | |
| 240 | 1 | 0 | |a Invariantnye prostranstva funkcij na odnorodnych mnogoobrazijach grupp li i ich priloženija |
| 245 | 1 | 0 | |a Invariant function spaces on homogeneous manifolds of Lie groups and applications |c M. L. Agranovskii |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1993 | |
| 300 | |a X, 131 S. | ||
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Record in the Search Index
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| adam_text | Contents
Introduction
Chapter I. Function Spaces and Function Algebras on Differentiable
Manifolds and Symmetric Spaces of Noncompact Type 5
§1. Maximal ideal spaces of antisymmetric algebras on closed
differentiable manifolds 5
§2. Algebras on manifolds invariant under diffeomorphism groups 12
§3. Invariant spaces and algebras of integrable functions on
symmetric spaces of noncompact type 14
§4. Invariant algebras on symmetric spaces of noncompact type 21
Chapter II. Translation Invariant Function Spaces and Function
Algebras on Noncompact Lie Groups 23
§1. Invariant algebras on noncompact semisimple Lie groups 23
§2. Amne invariant function spaces and function algebras on the
Heisenberg group 31
Chapter III. Mobius Spaces and Algebras on Symmetric Domains and
Their Shilov Boundaries 59
§ 1. Amne invariant function algebras on Shilov boundaries of
Siegel domains of the first kind 59
§2. Boundary values of holomorphic functions on the Shilov
boundary of bounded symmetric domain 62
§3. Mobius spaces and algebras on Shilov boundaries of bounded
symmetric domains 66
§4. Pseudounitarily invariant spaces of analytic functions on Stiefel
manifolds 73
§5. Mobius subspaces of C(D) 89
§6. Mobius invariant spaces in the complex ball. Separation of the
^harmonic component 90
§7. Mobius ,4(5^ modules in the unit disk 96
ix
X CONTENTS
Chapter IV. Holomorphy Tests in Symmetric Domains Involving the
Automorphism Group. Related Problems. 103
§ 1. Integral conditions for the existence of a holomorphic
extension from the boundary of a symmetric domain 103
§2. Morera theorems in the unit disk for conformally invariant
families of contours 106
§3. Holomorphy on invariant families of subsets of symmetric
domains 113
§4. Holomorphy on a unitary invariant family of curves in a
spherical layer in C 117
§5. The one dimensional holomorphic extension property 121
References 127
|
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| discipline | Mathematik |
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| id | DE-604.BV008849057 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:26:00Z |
| institution | BVB |
| isbn | 0821846043 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005850933 |
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| physical | X, 131 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Agranovskij, Mark L. 1946- Verfasser (DE-588)133148491 aut Invariantnye prostranstva funkcij na odnorodnych mnogoobrazijach grupp li i ich priloženija Invariant function spaces on homogeneous manifolds of Lie groups and applications M. L. Agranovskii Providence, RI American Math. Soc. 1993 X, 131 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 126 Invarianter Unterraum (DE-588)4162212-1 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Homogene Mannigfaltigkeit (DE-588)4160580-9 gnd rswk-swf Funktionenraum (DE-588)4134834-5 gnd rswk-swf Homogene Mannigfaltigkeit (DE-588)4160580-9 s Invarianter Unterraum (DE-588)4162212-1 s DE-604 Lie-Gruppe (DE-588)4035695-4 s Funktionenraum (DE-588)4134834-5 s Translations of mathematical monographs 126 (DE-604)BV000002394 126 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005850933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Agranovskij, Mark L. 1946- Invariant function spaces on homogeneous manifolds of Lie groups and applications Translations of mathematical monographs Invarianter Unterraum (DE-588)4162212-1 gnd Lie-Gruppe (DE-588)4035695-4 gnd Homogene Mannigfaltigkeit (DE-588)4160580-9 gnd Funktionenraum (DE-588)4134834-5 gnd |
| subject_GND | (DE-588)4162212-1 (DE-588)4035695-4 (DE-588)4160580-9 (DE-588)4134834-5 |
| title | Invariant function spaces on homogeneous manifolds of Lie groups and applications |
| title_alt | Invariantnye prostranstva funkcij na odnorodnych mnogoobrazijach grupp li i ich priloženija |
| title_auth | Invariant function spaces on homogeneous manifolds of Lie groups and applications |
| title_exact_search | Invariant function spaces on homogeneous manifolds of Lie groups and applications |
| title_full | Invariant function spaces on homogeneous manifolds of Lie groups and applications M. L. Agranovskii |
| title_fullStr | Invariant function spaces on homogeneous manifolds of Lie groups and applications M. L. Agranovskii |
| title_full_unstemmed | Invariant function spaces on homogeneous manifolds of Lie groups and applications M. L. Agranovskii |
| title_short | Invariant function spaces on homogeneous manifolds of Lie groups and applications |
| title_sort | invariant function spaces on homogeneous manifolds of lie groups and applications |
| topic | Invarianter Unterraum (DE-588)4162212-1 gnd Lie-Gruppe (DE-588)4035695-4 gnd Homogene Mannigfaltigkeit (DE-588)4160580-9 gnd Funktionenraum (DE-588)4134834-5 gnd |
| topic_facet | Invarianter Unterraum Lie-Gruppe Homogene Mannigfaltigkeit Funktionenraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005850933&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
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