Pos n (R) and Eisenstein series:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2005
|
| Series: | Lecture notes in mathematics
1868 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 168 S. graph. Darst. |
| ISBN: | 354025787X 9783540257875 |
Staff View
MARC
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| 100 | 1 | |a Jorgenson, Jay |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Pos n (R) and Eisenstein series |c Jay Jorgenson ; Serge Lang |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2005 | |
| 300 | |a VIII, 168 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1868 | |
| 650 | 4 | |a Eisenstein, Séries d' | |
| 650 | 4 | |a Fonctions thêta | |
| 650 | 4 | |a Fonctions zêta | |
| 650 | 7 | |a Harmonische analyse |2 gtt | |
| 650 | 4 | |a Eisenstein series | |
| 650 | 4 | |a Functions, Theta | |
| 650 | 4 | |a Functions, Zeta | |
| 650 | 0 | 7 | |a Abstrakte harmonische Analysis |0 (DE-588)4821471-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eisenstein-Reihe |0 (DE-588)4131762-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Thetafunktion |0 (DE-588)4185175-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Abstrakte harmonische Analysis |0 (DE-588)4821471-1 |D s |
| 689 | 0 | 1 | |a Thetafunktion |0 (DE-588)4185175-4 |D s |
| 689 | 0 | 2 | |a Eisenstein-Reihe |0 (DE-588)4131762-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Lang, Serge |d 1927-2005 |e Verfasser |0 (DE-588)119305119 |4 aut | |
| 830 | 0 | |a Lecture notes in mathematics |v 1868 |w (DE-604)BV000676446 |9 1868 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-013339158 | ||
Record in the Search Index
| _version_ | 1804133577801072640 |
|---|---|
| adam_text | Contents
GLn(R)
Action on PoSn(R-)
................................ 1
1 Iwasawa-Jacobi
Decomposition..............................
2
2
Inductive Construction
of the
Grenier
fundamental Domain
......................... 6
3
The Inductive Coordinates on SPosn
......................... 14
4
The
Grenier
Fundamental Domain
and the Minimal Compactification of
Г„ ЅРоѕ„
............... 17
5 Siegel
Sets
................................................ 20
Measures, Integration and Quadratic Model
............... 23
1 Siegel
Sets and Finiteness of Measure Mod SLn(Z)
............ 24
2
Decompositions of
Haar
Measure on Posn(R)
................. 25
3
Decompositions of
Haar
Measure on SPosn
................... 36
4
Siegel s Formula
........................................... 39
Special Functions on
Pos„ ................................. 49
1
Characters of Posn
........................................ 50
2
The Gamma Function
...................................... 55
3
The
Bengtson Bessel
Function
.............................. 58
4
Mellin and Fourier Transforms
.............................. 69
Invariant Differential Operators on Posn(R)
............... 75
1
Invariant Polynomials
...................................... 75
2
Invariant Differential Operators
on Posn the Maass-Selberg Generators
....................... 78
3
The Lie Algebra Generators
................................ 84
4
The Transpose of an Invariant Differential Operator
........... 87
5
Invariant Differential Operators
on A and the Normal Projection
............................ 90
VIII Contents
5
Poisson
Duality
and
Zeta
Functions
........................ 95
1
Poisson
Duality
........................................... 95
2
The Matrix Scalar Product
................................. 97
3
The Epstein
Zeta
Function: Riemann s Expression
............. 99
4
Epstein
Zeta
Function: A Change of Variables
.................104
5
Epstein
Zeta
Function: Bessel-Fourier Series
..................105
6 Eisenstein
Series First Part
................................107
1
Adjointness Relations
......................................107
2
Fourier Expansion Determined
by Partial Iwasawa Coordinates
.............................110
3
Fourier Coefficients from Partial Iwasawa Coordinates
..........114
4
A Fourier Expansion on SPosn(R)
...........................116
5
The Regularizing Operator QY
=
Y -^
.....................118
7
Geometric and Analytic Estimates
.........................121
1
The Metric and Iwasawa Coordinates
........................121
2
Convergence Estimates for
Eisenstein
Series
...................125
3
A Variation and Extension
..................................130
8 Eisenstein
Series Second Part
..............................133
1
Integral Matrices and Their Chains
..........................134
2
The Cq Fudge Factor
......................................140
3 Eisenstein
Series
..........................................143
4
Adjointness and the
Г[/ Г-1гасе
.............................148
5
Changing to the (si
,...,
sn)-variables
........................152
6
Functional Equation:
Invariance
under Cyclic Permutations
..................................157
7
Invariance
under All Permutations
...........................159
Bibliography
...................................................163
Index
..........................................................167
|
| any_adam_object | 1 |
| author | Jorgenson, Jay Lang, Serge 1927-2005 |
| author_GND | (DE-588)119305119 |
| author_facet | Jorgenson, Jay Lang, Serge 1927-2005 |
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| author_sort | Jorgenson, Jay |
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| building | Verbundindex |
| bvnumber | BV020017718 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| classification_tum | MAT 430f MAT 339f MAT 329f |
| ctrlnum | (OCoLC)61301900 (DE-599)BVBBV020017718 |
| dewey-full | 512.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7 |
| dewey-search | 512.7 |
| dewey-sort | 3512.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV020017718 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:10:56Z |
| institution | BVB |
| isbn | 354025787X 9783540257875 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013339158 |
| oclc_num | 61301900 |
| open_access_boolean | |
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| owner_facet | DE-824 DE-29T DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-20 DE-384 DE-83 DE-11 DE-188 |
| physical | VIII, 168 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Jorgenson, Jay Verfasser aut Pos n (R) and Eisenstein series Jay Jorgenson ; Serge Lang Berlin [u.a.] Springer 2005 VIII, 168 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1868 Eisenstein, Séries d' Fonctions thêta Fonctions zêta Harmonische analyse gtt Eisenstein series Functions, Theta Functions, Zeta Abstrakte harmonische Analysis (DE-588)4821471-1 gnd rswk-swf Eisenstein-Reihe (DE-588)4131762-2 gnd rswk-swf Thetafunktion (DE-588)4185175-4 gnd rswk-swf Abstrakte harmonische Analysis (DE-588)4821471-1 s Thetafunktion (DE-588)4185175-4 s Eisenstein-Reihe (DE-588)4131762-2 s DE-604 Lang, Serge 1927-2005 Verfasser (DE-588)119305119 aut Lecture notes in mathematics 1868 (DE-604)BV000676446 1868 Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013339158&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jorgenson, Jay Lang, Serge 1927-2005 Pos n (R) and Eisenstein series Lecture notes in mathematics Eisenstein, Séries d' Fonctions thêta Fonctions zêta Harmonische analyse gtt Eisenstein series Functions, Theta Functions, Zeta Abstrakte harmonische Analysis (DE-588)4821471-1 gnd Eisenstein-Reihe (DE-588)4131762-2 gnd Thetafunktion (DE-588)4185175-4 gnd |
| subject_GND | (DE-588)4821471-1 (DE-588)4131762-2 (DE-588)4185175-4 |
| title | Pos n (R) and Eisenstein series |
| title_auth | Pos n (R) and Eisenstein series |
| title_exact_search | Pos n (R) and Eisenstein series |
| title_full | Pos n (R) and Eisenstein series Jay Jorgenson ; Serge Lang |
| title_fullStr | Pos n (R) and Eisenstein series Jay Jorgenson ; Serge Lang |
| title_full_unstemmed | Pos n (R) and Eisenstein series Jay Jorgenson ; Serge Lang |
| title_short | Pos n (R) and Eisenstein series |
| title_sort | pos n r and eisenstein series |
| topic | Eisenstein, Séries d' Fonctions thêta Fonctions zêta Harmonische analyse gtt Eisenstein series Functions, Theta Functions, Zeta Abstrakte harmonische Analysis (DE-588)4821471-1 gnd Eisenstein-Reihe (DE-588)4131762-2 gnd Thetafunktion (DE-588)4185175-4 gnd |
| topic_facet | Eisenstein, Séries d' Fonctions thêta Fonctions zêta Harmonische analyse Eisenstein series Functions, Theta Functions, Zeta Abstrakte harmonische Analysis Eisenstein-Reihe Thetafunktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013339158&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT jorgensonjay posnrandeisensteinseries AT langserge posnrandeisensteinseries |