Positive definite functions on infinite-dimensional convex cones:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2003
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
789 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 166, number 789 (second of 3 numbers)." |
| Beschreibung: | XIV, 128 S. |
| ISBN: | 0821832565 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 789 POSITIVE DEFINITE
FUNCTIONS ON INFINITE-DIMENSIONAL CONVEX CONES HELGE GLOCKNER NOVEMBER
2003 * VOLUME 166 * NUMBER 789 (SECOND OF 3 NUMBERS) * ISSN 0065-9266
AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND CONTENTS
INTRODUCTION IX PART I. PRELIMINARIES AND PREPARATORY RESULTS 1 BOUNDED
AND UNBOUNDED OPERATORS 1 2 CONE-VALUED MEASURES 6 3 MEASURES ON
TOPOLOGICAL SPACES 16 4 PROJECTIVE LIMITS OF CONE-VALUED MEASURES 19 5
HOLOMORPHIC FUNCTIONS 25 6 INVOLUTIVE SEMIGROUPS AND THEIR
REPRESENTATIONS 27 7 POSITIVE DEFINITE KERNELS AND FUNCTIONS 29 8
C*-ALGEBRAS ASSOCIATED WITH INVOLUTIVE SEMIGROUPS 39 9 INTEGRAL
REPRESENTATIONS OF POSITIVE DEFINITE FUNCTIONS 41 10 CONVEX CONES AND
THEIR FACES 45 11 EXAMPLES OF CONVEX CONES 51 12 CONELIKE SEMIGROUPS:
DEFINITION AND EXAMPLES 53 13 REPRESENTATIONS OF CONELIKE SEMIGROUPS I
55 14 FOURIER AND LAPLACE TRANSFORMS 58 15 GENERALIZED BOCHNER AND STONE
THEOREMS 63 PART II. MAIN RESULTS 16 NUSSBAUM THEOREM FOR OPEN CONVEX
CONES 67 17 POSITIVE DEFINITE FUNCTIONS ON CONVEX CONES WITH NON-EMPTY
INTERIOR 74 18 POSITIVE DEFINITE FUNCTIONS ON CONVEX SETS 80 19
ASSOCIATED HILBERT SPACES AND REPRESENTATIONS 88 20 NUSSBAUM THEOREM FOR
GENERATING CONVEX CONES 98 21 REPRESENTATIONS OF CONELIKE SEMIGROUPS II
105 22 ASSOCIATED UNITARY REPRESENTATIONS 108 23 HOLOMORPHIC EXTENSION
OF UNITARY REPRESENTATIONS 110 24 HOLOMORPHIC EXTENSION OF
REPRESENTATIONS OF NUCLEAR GROUPS 113 VI CONTENTS REFERENCES 115 INDEX
123 LIST OF SYMBOLS 127
|
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| id | DE-604.BV017366914 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:17:10Z |
| institution | BVB |
| isbn | 0821832565 |
| language | English |
| lccn | 2003057764 |
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| physical | XIV, 128 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Glöckner, Helge 1969- Verfasser (DE-588)121944093 aut Positive definite functions on infinite-dimensional convex cones Helge Glöckner Providence, R.I. American Mathematical Society 2003 XIV, 128 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 789 "Volume 166, number 789 (second of 3 numbers)." Convexe lichamen gtt Groepen (wiskunde) gtt Harmonische analyse gtt Laplace-transformaties gtt Representatie (wiskunde) gtt Convex bodies Harmonic analysis Laplace transformation Representations of groups Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Laplace-Transformation (DE-588)4034577-4 gnd rswk-swf Konvexer Körper (DE-588)4165214-9 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Konvexer Körper (DE-588)4165214-9 s Gruppentheorie (DE-588)4072157-7 s Laplace-Transformation (DE-588)4034577-4 s DE-604 Memoirs of the American Mathematical Society 789 (DE-604)BV008000141 789 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010467252&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Glöckner, Helge 1969- Positive definite functions on infinite-dimensional convex cones Memoirs of the American Mathematical Society Convexe lichamen gtt Groepen (wiskunde) gtt Harmonische analyse gtt Laplace-transformaties gtt Representatie (wiskunde) gtt Convex bodies Harmonic analysis Laplace transformation Representations of groups Gruppentheorie (DE-588)4072157-7 gnd Harmonische Analyse (DE-588)4023453-8 gnd Laplace-Transformation (DE-588)4034577-4 gnd Konvexer Körper (DE-588)4165214-9 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4023453-8 (DE-588)4034577-4 (DE-588)4165214-9 |
| title | Positive definite functions on infinite-dimensional convex cones |
| title_auth | Positive definite functions on infinite-dimensional convex cones |
| title_exact_search | Positive definite functions on infinite-dimensional convex cones |
| title_full | Positive definite functions on infinite-dimensional convex cones Helge Glöckner |
| title_fullStr | Positive definite functions on infinite-dimensional convex cones Helge Glöckner |
| title_full_unstemmed | Positive definite functions on infinite-dimensional convex cones Helge Glöckner |
| title_short | Positive definite functions on infinite-dimensional convex cones |
| title_sort | positive definite functions on infinite dimensional convex cones |
| topic | Convexe lichamen gtt Groepen (wiskunde) gtt Harmonische analyse gtt Laplace-transformaties gtt Representatie (wiskunde) gtt Convex bodies Harmonic analysis Laplace transformation Representations of groups Gruppentheorie (DE-588)4072157-7 gnd Harmonische Analyse (DE-588)4023453-8 gnd Laplace-Transformation (DE-588)4034577-4 gnd Konvexer Körper (DE-588)4165214-9 gnd |
| topic_facet | Convexe lichamen Groepen (wiskunde) Harmonische analyse Laplace-transformaties Representatie (wiskunde) Convex bodies Harmonic analysis Laplace transformation Representations of groups Gruppentheorie Harmonische Analyse Laplace-Transformation Konvexer Körper |
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