Conditionally positive definite kernels: an abstract approach
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 94 S. graph. Darst. |
Staff View
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Record in the Search Index
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| adam_text | CONTENTS INTRODUCTION XI 1. REPRODUCING KERNEL STRUCTURES 1 1.1.
CONDITIONALLY POSITIVE DEFINITENESS 2 1.2. A FIRST CONSTRUCTION OF A
REPRODUCING KERNEL SPACE 4 1.3. PROPERTIES OF THE REPRODUCING KERNEL
PONTRYAGIN SPACE 8 1.4. A SECOND CONSTRUCTION METHOD 12 1.5. ERROR
ANALYSIS * 16 2. CONDITIONALLY POSITIVE DEFINITENESS ON DISCRETE
HYPERGROUPS 21 2.1. CONDITIONALLY POSITIVE DEFINITE FUNCTIONS 22 2.2. ON
THE REPRESENTATION SPACES 25 2.3. INTEGRAL REPRESENTATION 31 2.4.
CONSTRUCTION OF POSITIVE DEFINITE FUNCTIONS VIA GENERATING FUNCTIONS . .
37 3. CONSTRUCTION OF KERNELS ON GRAPHS 43 3.1. DISTANCE-TRANSITIVE
GRAPHS 44 3.2. ARBITRARY GRAPHS 52 4. CONCLUSION AND OUTLOOK 57
APPENDICES A. PONTRYAGIN SPACES 63 A.L. GENERAL THEORY 63 A.2.
REPRODUCING KERNEL PONTRYAGIN SPACES 66 B. DISCRETE HYPERGROUPS 71 B.I.
BASIC DEFINITIONS AND PROPERTIES 71 B.2. SOME TECHNICAL RESULTS ON
HYPERGROUPS 75 B.3. POLYNOMIAL HYPERGROUPS 77 B.4. FINITE HYPERGROUPS 79
C. GRAPHS 81 BIBLIOGRAPHY 83 LIST OF SYMBOLS 93 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/1003886698 DIGITALISIERT DURCH
|
| any_adam_object | 1 |
| author | Berschneider, Georg Josef |
| author_GND | (DE-588)141593334 |
| author_facet | Berschneider, Georg Josef |
| author_role | aut |
| author_sort | Berschneider, Georg Josef |
| author_variant | g j b gj gjb |
| building | Verbundindex |
| bvnumber | BV036524320 |
| classification_tum | MAT 463d MAT 430d MAT 059d |
| ctrlnum | (OCoLC)658281553 (DE-599)BVBBV036524320 |
| dewey-full | 515.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.73 |
| dewey-search | 515.73 |
| dewey-sort | 3515.73 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| spelling | Berschneider, Georg Josef Verfasser (DE-588)141593334 aut Conditionally positive definite kernels an abstract approach Georg Josef Berschneider 2010 XIV, 94 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2010 Positiv-definiter Kern (DE-588)4175421-9 gnd rswk-swf Pontrjagin-Raum (DE-588)4473351-3 gnd rswk-swf Hypergruppe (DE-588)4561851-3 gnd rswk-swf Graph (DE-588)4021842-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Positiv-definiter Kern (DE-588)4175421-9 s Pontrjagin-Raum (DE-588)4473351-3 s Hypergruppe (DE-588)4561851-3 s Graph (DE-588)4021842-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020446267&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Berschneider, Georg Josef Conditionally positive definite kernels an abstract approach Positiv-definiter Kern (DE-588)4175421-9 gnd Pontrjagin-Raum (DE-588)4473351-3 gnd Hypergruppe (DE-588)4561851-3 gnd Graph (DE-588)4021842-9 gnd |
| subject_GND | (DE-588)4175421-9 (DE-588)4473351-3 (DE-588)4561851-3 (DE-588)4021842-9 (DE-588)4113937-9 |
| title | Conditionally positive definite kernels an abstract approach |
| title_auth | Conditionally positive definite kernels an abstract approach |
| title_exact_search | Conditionally positive definite kernels an abstract approach |
| title_full | Conditionally positive definite kernels an abstract approach Georg Josef Berschneider |
| title_fullStr | Conditionally positive definite kernels an abstract approach Georg Josef Berschneider |
| title_full_unstemmed | Conditionally positive definite kernels an abstract approach Georg Josef Berschneider |
| title_short | Conditionally positive definite kernels |
| title_sort | conditionally positive definite kernels an abstract approach |
| title_sub | an abstract approach |
| topic | Positiv-definiter Kern (DE-588)4175421-9 gnd Pontrjagin-Raum (DE-588)4473351-3 gnd Hypergruppe (DE-588)4561851-3 gnd Graph (DE-588)4021842-9 gnd |
| topic_facet | Positiv-definiter Kern Pontrjagin-Raum Hypergruppe Graph Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020446267&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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