Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms:
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| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
2012
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 199 S. |
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| 245 | 1 | 0 | |a Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms |c vorgelegt von Ralf Beckmann |
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Record in the Search Index
| _version_ | 1804149494044950528 |
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| adam_text | IMAGE 1
C O N T E N T S
ACKNOWLEDGEMENT 7
INTRODUCTION 9
STANDARD NOTATION 21
1 P R E R E Q U I S I T E S 2 5
1.1 TOPOLOGICAL VECTOR SPACES 25
1.1.1 TOPOLOGICAL TENSOR PRODUCTS 26
1.1.2 VECTOR-VALUED CALCULUS 29
1.2 DISTRIBUTION THEORY 34
1.2.1 DENSITIES 38
1.2.2 DIFFERENTIAL OPERATORS 40
1.2.3 T H E WAVEFRONT SET 41
1.2.4 DISTRIBUTIONS SUPPORTED ON SUBMANIFOLDS 43
1.2.5 ACTION OF LIE GROUPS 44
1.3 REPRESENTATION THEORY 49
1.3.1 PRINCIPAL SERIES REPRESENTATION 54
1.3.2 REPRESENTATIONS OF MODERATE GROWTH 55
2 S T R U C T U R E A N D S P E C T R A L T H E O R Y 5 9
2.1 STRUCTURE THEORY 59
2.2 SPECTRAL THEORY 66
2.2.1 SPECTRAL THEORY FOR D ODD 70
2.2.2 SPECTRAL THEORY FOR D EVEN 71
2.2.3 STUDY OF INTERTWINING OPERATORS 73
3 T R I L I N E A R F O R M S FOR C O N F O R M A L G R O U P S 7 9
3.1 BOUNDS FOR THE DIMENSION OF TRILINEAR FORMS 79
3.2 CONSTRUCTION OF INVARIANT FORMS 84
3.2.1 BERNSTEIN-SATO IDENTITIES 89
3.2.2 RESIDUE A T AFHNE HYPERPLANES OF TYPE 1 101
4 A P P L I C A T I O N S 1 0 5
4.1 GENERALIZED RANKIN-COHEN BRACKETS 106
4.2 HARMONIC ANALYSIS ON L 2 (T &) 117
5
HTTP://D-NB.INFO/1027309178
IMAGE 2
6 CONTENTS
4.3 FOURIER EXPANSION ALONG,GEODESIES 133
4.3.1 INTERTWINING FUNCTIONALS 134
4.3.2 SPECTRAL IDENTITY 136
4.4 GENERALIZED RANKIN-SELBERG FORMULAS 145
4.4.1 RANKIN-SELBERG TYPE //-FUNCTIONS 158
4.5 SPHERICAL FOURIER COEFFICIENTS 161
4.5.1 ASYMPTOTICS OF KERNELS 171
4.5.2 BOUNDS FOR SPHERICAL FOURIER COEFFICIENTS 177
5 C O N C L U D I N G R E M A R K S 1 8 5
B I B L I O G R A P H Y 1 8 9
I N D E X 1 9 4
L I S T O F S Y M B O L S 1 9 6
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| any_adam_object | 1 |
| author | Beckmann, Ralf |
| author_facet | Beckmann, Ralf |
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| building | Verbundindex |
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| 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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| indexdate | 2024-07-10T00:23:55Z |
| institution | BVB |
| language | English |
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| physical | 199 S. |
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| spelling | Beckmann, Ralf Verfasser aut Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms vorgelegt von Ralf Beckmann 2012 199 S. txt rdacontent n rdamedia nc rdacarrier Tübingen, Univ., Diss., 2012 (DE-588)4113937-9 Hochschulschrift gnd-content DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025286683&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Beckmann, Ralf Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms |
| subject_GND | (DE-588)4113937-9 |
| title | Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms |
| title_auth | Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms |
| title_exact_search | Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms |
| title_full | Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms vorgelegt von Ralf Beckmann |
| title_fullStr | Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms vorgelegt von Ralf Beckmann |
| title_full_unstemmed | Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms vorgelegt von Ralf Beckmann |
| title_short | Invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms |
| title_sort | invariant trilinear forms for conformal groups and their applications in the theory of automorphic forms |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025286683&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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