Automorphic forms on semisimple Lie groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1968
|
| Series: | Lecture notes in mathematics
62 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 138 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV002935696 | ||
| 003 | DE-604 | ||
| 005 | 20080603 | ||
| 007 | t | ||
| 008 | 900725s1968 |||| 00||| eng d | ||
| 035 | |a (OCoLC)602270595 | ||
| 035 | |a (DE-599)BVBBV002935696 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-91G |a DE-355 |a DE-20 |a DE-824 |a DE-29T |a DE-19 |a DE-706 |a DE-11 |a DE-188 |a DE-210 |a DE-83 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 512/.89 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a SK 340 |0 (DE-625)143232: |2 rvk | ||
| 084 | |a 43A80 |2 msc | ||
| 084 | |a 22E30 |2 msc | ||
| 100 | 0 | |a Harish-Chandra |d 1923-1983 |e Verfasser |0 (DE-588)119089130 |4 aut | |
| 245 | 1 | 0 | |a Automorphic forms on semisimple Lie groups |c Harish-Chandra |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1968 | |
| 300 | |a X, 138 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 62 | |
| 650 | 4 | |a Groupes de Lie semi-simples | |
| 650 | 4 | |a Équations fonctionnelles | |
| 650 | 4 | |a Functional equations | |
| 650 | 4 | |a Semisimple Lie groups | |
| 650 | 0 | 7 | |a Halbeinfache Lie-Gruppe |0 (DE-588)4122188-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lie-Gruppe |0 (DE-588)4035695-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Automorphe Form |0 (DE-588)4003972-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lie-Gruppe |0 (DE-588)4035695-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Halbeinfache Lie-Gruppe |0 (DE-588)4122188-6 |D s |
| 689 | 1 | 1 | |a Automorphe Form |0 (DE-588)4003972-9 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in mathematics |v 62 |w (DE-604)BV000676446 |9 62 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001837980&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001837980 | ||
Record in the Search Index
| _version_ | 1804117228438683648 |
|---|---|
| adam_text | Contentb
Chapter I
§ 1. Algebraic and arithmetic results 1
§ 2. Automorphic forms 6
§ 3 Inequalities. Statement of the main lemma 9
§ 4. The space of cusp forms 12
§ 5» A theorem of Langlands 16
§ 6. Proof of Theorem 1 17
§ 7 Proof of the main lemma 21
Chapter II
§ 1. Inequalities 24
§ 2. Eisenstein series 26
§ 3. The functions Ef 31
§ 4. The constant term of the Fourier series of EA 33
§ 5 The constant term of E^ (P,. and P~ associate) 39
§ 6. Orthogonality and density of the E, 45
§ 7. The adjoint of c(s:a) 49
§ 8. Automorphic forms of type q 52
Chapter III
§ 0. Introduction 54
§ 1. Statement of Theorem 6 54
§ 2. Proof of Theorem 6 57
§ 3 Consequences of Theorem 6 64
§ 4. Langland s lemma for arbitrary q 65
Chapter IV
§ 1. A partition of G/T 69
§ 2. The Maass Selberg relations 71
§ 3. The functions E. 76
§ 4. Further preparation of the analytic continuation 82
§ 5» Analytic continuation of c(z) and E(z: p): first step 89
§ 6. Analytic continuation to C {0} 99
§ 7. Analytic continuation: the point 0 103
§ 8. Boundedness of c for Im(z) *o° 105
Chapter V
§ 1. Some preparation 109
§ 2. Statement of Theorems 8 and 9 112
§ 3. First part of the proof of Theorem 8 114
§ 4 . End of the proof of Theorem 8 122
§ 5. Proof of Theorem 9 128
|
| any_adam_object | 1 |
| author | Harish-Chandra 1923-1983 |
| author_GND | (DE-588)119089130 |
| author_facet | Harish-Chandra 1923-1983 |
| author_role | aut |
| author_sort | Harish-Chandra 1923-1983 |
| author_variant | h c hc |
| building | Verbundindex |
| bvnumber | BV002935696 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 SK 340 |
| ctrlnum | (OCoLC)602270595 (DE-599)BVBBV002935696 |
| dewey-full | 512/.89 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.89 |
| dewey-search | 512/.89 |
| dewey-sort | 3512 289 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01897nam a2200493 cb4500</leader><controlfield tag="001">BV002935696</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20080603 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900725s1968 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)602270595</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002935696</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-210</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.89</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 340</subfield><subfield code="0">(DE-625)143232:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">43A80</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">22E30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="0" ind2=" "><subfield code="a">Harish-Chandra</subfield><subfield code="d">1923-1983</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)119089130</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Automorphic forms on semisimple Lie groups</subfield><subfield code="c">Harish-Chandra</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1968</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 138 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">Lecture notes in mathematics</subfield><subfield code="v">62</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Groupes de Lie semi-simples</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Équations fonctionnelles</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functional equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Semisimple Lie groups</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Halbeinfache Lie-Gruppe</subfield><subfield code="0">(DE-588)4122188-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lie-Gruppe</subfield><subfield code="0">(DE-588)4035695-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</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="689" ind1="0" ind2="0"><subfield code="a">Lie-Gruppe</subfield><subfield code="0">(DE-588)4035695-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Halbeinfache Lie-Gruppe</subfield><subfield code="0">(DE-588)4122188-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" 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="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">62</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">62</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</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=001837980&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001837980</subfield></datafield></record></collection> |
| id | DE-604.BV002935696 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:51:04Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001837980 |
| oclc_num | 602270595 |
| open_access_boolean | |
| owner | DE-384 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-11 DE-188 DE-210 DE-83 |
| owner_facet | DE-384 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-11 DE-188 DE-210 DE-83 |
| physical | X, 138 S. |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Harish-Chandra 1923-1983 Verfasser (DE-588)119089130 aut Automorphic forms on semisimple Lie groups Harish-Chandra Berlin [u.a.] Springer 1968 X, 138 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 62 Groupes de Lie semi-simples Équations fonctionnelles Functional equations Semisimple Lie groups Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Automorphe Form (DE-588)4003972-9 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 s DE-604 Halbeinfache Lie-Gruppe (DE-588)4122188-6 s Automorphe Form (DE-588)4003972-9 s Lecture notes in mathematics 62 (DE-604)BV000676446 62 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001837980&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Harish-Chandra 1923-1983 Automorphic forms on semisimple Lie groups Lecture notes in mathematics Groupes de Lie semi-simples Équations fonctionnelles Functional equations Semisimple Lie groups Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd Automorphe Form (DE-588)4003972-9 gnd |
| subject_GND | (DE-588)4122188-6 (DE-588)4035695-4 (DE-588)4003972-9 |
| title | Automorphic forms on semisimple Lie groups |
| title_auth | Automorphic forms on semisimple Lie groups |
| title_exact_search | Automorphic forms on semisimple Lie groups |
| title_full | Automorphic forms on semisimple Lie groups Harish-Chandra |
| title_fullStr | Automorphic forms on semisimple Lie groups Harish-Chandra |
| title_full_unstemmed | Automorphic forms on semisimple Lie groups Harish-Chandra |
| title_short | Automorphic forms on semisimple Lie groups |
| title_sort | automorphic forms on semisimple lie groups |
| topic | Groupes de Lie semi-simples Équations fonctionnelles Functional equations Semisimple Lie groups Halbeinfache Lie-Gruppe (DE-588)4122188-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd Automorphe Form (DE-588)4003972-9 gnd |
| topic_facet | Groupes de Lie semi-simples Équations fonctionnelles Functional equations Semisimple Lie groups Halbeinfache Lie-Gruppe Lie-Gruppe Automorphe Form |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001837980&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT harishchandra automorphicformsonsemisimpleliegroups |