Alternative pseudodifferential analysis: with an application to modular forms
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
| Schriftenreihe: | Lecture notes in mathematics
1935 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 118 S. |
| ISBN: | 9783540779100 9783540779117 |
Internformat
MARC
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| 100 | 1 | |a Unterberger, André |d 1940- |e Verfasser |0 (DE-588)122184882 |4 aut | |
| 245 | 1 | 0 | |a Alternative pseudodifferential analysis |b with an application to modular forms |c André Unterberger |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
| 300 | |a IX, 118 S. | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1935 | |
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Datensatz im Suchindex
| _version_ | 1804138013280698368 |
|---|---|
| adam_text | Contents
1
Introduction
................................................... 1
2
The Metaplectic and Anaplectic Representations
.................. 11
2.1
The Metaplectic Representation
.............................. 11
2.2
Anaplectic Analysis
........................................ 16
3
The One-Dimensional Alternative Pseudodifferential Analysis
...... 27
3.1
Ascending Pseudodifferential Analysis
........................ 28
3.2
Classes of Operators
........................................ 38
3.3
The Resolvent of the Lowering Operator
....................... 57
3.4
The Composition Formula
................................... 64
4
From Anaplectic Analysis to Usual Analysis
....................... 75
4.1
The V-Anaplectic Representation
............................. 75
4.2
Ascending Pseudodifferential Calculus in v-Anaplectic Analysis
... 83
5
Pseudodifferential Analysis and Modular Forms
................... 93
5.1
The
Eisenstein,
Thêta, Poincaré,
and Alternative
Poincaré
Distributions
.............................................. 93
5.2
Moyal Brackets and Rankin-Cohen Brackets
...................106
References
.........................................................115
Index
.............................................................117
Subject Index
......................................................118
|
| adam_txt |
Contents
1
Introduction
. 1
2
The Metaplectic and Anaplectic Representations
. 11
2.1
The Metaplectic Representation
. 11
2.2
Anaplectic Analysis
. 16
3
The One-Dimensional Alternative Pseudodifferential Analysis
. 27
3.1
Ascending Pseudodifferential Analysis
. 28
3.2
Classes of Operators
. 38
3.3
The Resolvent of the Lowering Operator
. 57
3.4
The Composition Formula
. 64
4
From Anaplectic Analysis to Usual Analysis
. 75
4.1
The V-Anaplectic Representation
. 75
4.2
Ascending Pseudodifferential Calculus in v-Anaplectic Analysis
. 83
5
Pseudodifferential Analysis and Modular Forms
. 93
5.1
The
Eisenstein,
Thêta, Poincaré,
and Alternative
Poincaré
Distributions
. 93
5.2
Moyal Brackets and Rankin-Cohen Brackets
.106
References
.115
Index
.117
Subject Index
.118 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T22:02:34Z |
| indexdate | 2024-07-09T21:21:26Z |
| institution | BVB |
| isbn | 9783540779100 9783540779117 |
| language | English |
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| oclc_num | 257589793 |
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| physical | IX, 118 S. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Unterberger, André 1940- Verfasser (DE-588)122184882 aut Alternative pseudodifferential analysis with an application to modular forms André Unterberger Berlin [u.a.] Springer 2008 IX, 118 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1935 Anaplektische Analysis (DE-588)7524461-5 gnd rswk-swf Modulform (DE-588)4128299-1 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Anaplektische Analysis (DE-588)7524461-5 s Pseudodifferentialoperator (DE-588)4047640-6 s Modulform (DE-588)4128299-1 s DE-604 Lecture notes in mathematics 1935 (DE-604)BV000676446 1935 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016735170&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Unterberger, André 1940- Alternative pseudodifferential analysis with an application to modular forms Lecture notes in mathematics Anaplektische Analysis (DE-588)7524461-5 gnd Modulform (DE-588)4128299-1 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)7524461-5 (DE-588)4128299-1 (DE-588)4047640-6 |
| title | Alternative pseudodifferential analysis with an application to modular forms |
| title_auth | Alternative pseudodifferential analysis with an application to modular forms |
| title_exact_search | Alternative pseudodifferential analysis with an application to modular forms |
| title_exact_search_txtP | Alternative pseudodifferential analysis with an application to modular forms |
| title_full | Alternative pseudodifferential analysis with an application to modular forms André Unterberger |
| title_fullStr | Alternative pseudodifferential analysis with an application to modular forms André Unterberger |
| title_full_unstemmed | Alternative pseudodifferential analysis with an application to modular forms André Unterberger |
| title_short | Alternative pseudodifferential analysis |
| title_sort | alternative pseudodifferential analysis with an application to modular forms |
| title_sub | with an application to modular forms |
| topic | Anaplektische Analysis (DE-588)7524461-5 gnd Modulform (DE-588)4128299-1 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Anaplektische Analysis Modulform Pseudodifferentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016735170&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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