Pseudodifferential analysis, automorphic distributions in the plane and modular forms:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Basel
Birkhäuser
2011
|
| Schriftenreihe: | Pseudo-differential operators
8 |
| Schlagwörter: | |
| Links: | http://deposit.dnb.de/cgi-bin/dokserv?id=3710444&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024399138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VIII, 299 S. |
| ISBN: | 9783034801652 3034801653 9783034801669 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV039547190 | ||
| 003 | DE-604 | ||
| 005 | 20140508 | ||
| 007 | t| | ||
| 008 | 110825s2011 xx |||| 00||| eng d | ||
| 016 | 7 | |a 101092110X |2 DE-101 | |
| 020 | |a 9783034801652 |c Pb. : ca. EUR 74.85 (DE) (freier Pr.) |9 978-3-0348-0165-2 | ||
| 020 | |a 3034801653 |c Pb. : ca. EUR 74.85 (DE) (freier Pr.) |9 3-03-480165-3 | ||
| 020 | |a 9783034801669 |c eISBN |9 978-3-0348-0166-9 | ||
| 024 | 3 | |a 9783034801652 | |
| 028 | 5 | 2 | |a Best.-Nr.: 80061949 |
| 035 | |a (OCoLC)750950458 | ||
| 035 | |a (DE-599)DNB101092110X | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-19 |a DE-824 |a DE-11 |a DE-355 | ||
| 084 | |a SK 180 |0 (DE-625)143222: |2 rvk | ||
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 100 | 1 | |a Unterberger, André |d 1940- |e Verfasser |0 (DE-588)122184882 |4 aut | |
| 245 | 1 | 0 | |a Pseudodifferential analysis, automorphic distributions in the plane and modular forms |c André Unterberger |
| 264 | 1 | |a Basel |b Birkhäuser |c 2011 | |
| 300 | |a VIII, 299 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pseudo-differential operators |v 8 | |
| 650 | 0 | 7 | |a Automorphe Form |0 (DE-588)4003972-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Modulform |0 (DE-588)4128299-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Pseudodifferentialoperator |0 (DE-588)4047640-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Modulform |0 (DE-588)4128299-1 |D s |
| 689 | 0 | 1 | |a Automorphe Form |0 (DE-588)4003972-9 |D s |
| 689 | 0 | 2 | |a Pseudodifferentialoperator |0 (DE-588)4047640-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |t Pseudodifferential analysis, automorphic distributions in the plane and modular forms |
| 830 | 0 | |a Pseudo-differential operators |v 8 |w (DE-604)BV035815877 |9 8 | |
| 856 | 4 | 2 | |m X:MVB |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=3710444&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024399138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-024399138 | |
Datensatz im Suchindex
| _version_ | 1819271312655253504 |
|---|---|
| adam_text | Contents
Introduction
1
1
The Weyl calculus
13
1.1
An introduction to the usual Weyl calculus
............. 13
1.2
Two composition formulas
....................... 26
1.3
The totally radial WVyl calculus
.................... 38
2
The Radon transformation and applications
47
2.1
The Radon transformation
....................... 48
2.2
Back to the totally radial Weyl calculus
............... 58
2.3
The dual Radon transform of bihomogeneous distributions
..... 62
2.4
The symmetries
ν ι—
> —
ν
and
ρ
i-> 2 —
ρ
............... 73
3
Automorphic functions and automorphic distributions
81
3.1
Automorphic background
....................... 82
3.2
Automorphic distributions
....................... 92
3.3
The Kloosterman-related series Cjt(s.t)
................ 99
3.4
About the sharp product of two
Eisenstein
distributions
...... 104
3.5
The pointwise product of two
Eisenstein
series
........... 108
3.6
The continuation of Ot
......................... 114
4
A class of
Poîncaré
series
121
4.1
An automorphic distribution of
a Pomcaré
series type
....... 122
4.2
The automorphic function fp_u
.................... 132
4.3
The analytic continuation of fpv
................... 137
4.4
Asymptotics of fp.v(x
—
iy).
y
—>
эс..................
145
4.5
The Roelcke-Selberg expansion of jpi/
................ 160
4.6
Incomplete p-series
........................... 171
4.7
The automorphic measures ds^
:
related work
........... 174
4.8
A duality
.................-.............. 182
vin
Contents
5
Spectral
decomposition of the
Poincaré
summation process
187
5.1
A universal
Poincaré
series
...................... 188
5.2
Spectral decomposition of the bilinear form
φ
............ 205
5.3
Technicalities and complements
.................... 222
6
The totally radial Weyl calculus and arithmetic
233
6.1
Radial functions and measures on Rn; the soft calculus
....... 235
6.2
Totally radial operators and arithmetic measures
.......... 242
7
Should one generalize the Weyl calculus to an adelic setting
? 251
7.1 Eisenstein
distributions with zeros of
zeta
for parameters
..... 253
7.2
The automorphic distribution
Νιά£1ν
as a symbol
......... 264
7.3
Adeles and
ideies
............................ 270
7.4
Rcnormalizing the p-adic Weyl calculus
............... 279
Index
291
Index of Notation
............................... 291
Subject. Index
................................. 293
Bibliography
295
|
| any_adam_object | 1 |
| author | Unterberger, André 1940- |
| author_GND | (DE-588)122184882 |
| author_facet | Unterberger, André 1940- |
| author_role | aut |
| author_sort | Unterberger, André 1940- |
| author_variant | a u au |
| building | Verbundindex |
| bvnumber | BV039547190 |
| classification_rvk | SK 180 SK 620 |
| ctrlnum | (OCoLC)750950458 (DE-599)DNB101092110X |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02222nam a2200481 cb4500</leader><controlfield tag="001">BV039547190</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140508 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">110825s2011 xx |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">101092110X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034801652</subfield><subfield code="c">Pb. : ca. EUR 74.85 (DE) (freier Pr.)</subfield><subfield code="9">978-3-0348-0165-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3034801653</subfield><subfield code="c">Pb. : ca. EUR 74.85 (DE) (freier Pr.)</subfield><subfield code="9">3-03-480165-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034801669</subfield><subfield code="c">eISBN</subfield><subfield code="9">978-3-0348-0166-9</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783034801652</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">Best.-Nr.: 80061949</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)750950458</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB101092110X</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="0">(DE-625)143222:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Unterberger, André</subfield><subfield code="d">1940-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)122184882</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Pseudodifferential analysis, automorphic distributions in the plane and modular forms</subfield><subfield code="c">André Unterberger</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 299 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Pseudo-differential operators</subfield><subfield code="v">8</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Automorphe Form</subfield><subfield code="0">(DE-588)4003972-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Modulform</subfield><subfield code="0">(DE-588)4128299-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Pseudodifferentialoperator</subfield><subfield code="0">(DE-588)4047640-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Modulform</subfield><subfield code="0">(DE-588)4128299-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Automorphe Form</subfield><subfield code="0">(DE-588)4003972-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Pseudodifferentialoperator</subfield><subfield code="0">(DE-588)4047640-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="t">Pseudodifferential analysis, automorphic distributions in the plane and modular forms</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Pseudo-differential operators</subfield><subfield code="v">8</subfield><subfield code="w">(DE-604)BV035815877</subfield><subfield code="9">8</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=3710444&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024399138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024399138</subfield></datafield></record></collection> |
| id | DE-604.BV039547190 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T15:57:02Z |
| institution | BVB |
| isbn | 9783034801652 3034801653 9783034801669 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024399138 |
| oclc_num | 750950458 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-824 DE-11 DE-355 DE-BY-UBR |
| owner_facet | DE-19 DE-BY-UBM DE-824 DE-11 DE-355 DE-BY-UBR |
| physical | VIII, 299 S. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Pseudo-differential operators |
| series2 | Pseudo-differential operators |
| spellingShingle | Unterberger, André 1940- Pseudodifferential analysis, automorphic distributions in the plane and modular forms Pseudo-differential operators Automorphe Form (DE-588)4003972-9 gnd Modulform (DE-588)4128299-1 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4003972-9 (DE-588)4128299-1 (DE-588)4047640-6 |
| title | Pseudodifferential analysis, automorphic distributions in the plane and modular forms |
| title_auth | Pseudodifferential analysis, automorphic distributions in the plane and modular forms |
| title_exact_search | Pseudodifferential analysis, automorphic distributions in the plane and modular forms |
| title_full | Pseudodifferential analysis, automorphic distributions in the plane and modular forms André Unterberger |
| title_fullStr | Pseudodifferential analysis, automorphic distributions in the plane and modular forms André Unterberger |
| title_full_unstemmed | Pseudodifferential analysis, automorphic distributions in the plane and modular forms André Unterberger |
| title_short | Pseudodifferential analysis, automorphic distributions in the plane and modular forms |
| title_sort | pseudodifferential analysis automorphic distributions in the plane and modular forms |
| topic | Automorphe Form (DE-588)4003972-9 gnd Modulform (DE-588)4128299-1 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Automorphe Form Modulform Pseudodifferentialoperator |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3710444&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024399138&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035815877 |
| work_keys_str_mv | AT unterbergerandre pseudodifferentialanalysisautomorphicdistributionsintheplaneandmodularforms |