Automorphic forms on adele groups:
This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically dev...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[1975]
|
| Schriftenreihe: | Annals of Mathematics Studies
number 83 |
| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Zusammenfassung: | This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the work the author emphasizes new examples and problems that remain open within the general theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebra |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) |
| Beschreibung: | 1 online resource |
| ISBN: | 9781400881611 |
| DOI: | 10.1515/9781400881611 |
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| 490 | 1 | |a Annals of Mathematics Studies |v number 83 | |
| 500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) | ||
| 520 | |a This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the work the author emphasizes new examples and problems that remain open within the general theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebra | ||
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| 650 | 4 | |a Automorphic forms | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Gelbart, Stephen S. 1946- |
| author_GND | (DE-588)108684083 |
| author_facet | Gelbart, Stephen S. 1946- |
| author_role | aut |
| author_sort | Gelbart, Stephen S. 1946- |
| author_variant | s s g ss ssg |
| building | Verbundindex |
| bvnumber | BV043712421 |
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| dewey-full | 512/.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.22 |
| dewey-search | 512/.22 |
| dewey-sort | 3512 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400881611 |
| format | Electronic eBook |
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| id | DE-604.BV043712421 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:33:08Z |
| institution | BVB |
| isbn | 9781400881611 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029124649 |
| oclc_num | 1165490678 |
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| physical | 1 online resource |
| psigel | ZDB-23-DGG ZDB-23-PST |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Gelbart, Stephen S. 1946- (DE-588)108684083 aut Automorphic forms on adele groups Stephen S. Gelbart Princeton, NJ Princeton University Press [1975] © 1975 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 83 Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the work the author emphasizes new examples and problems that remain open within the general theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebra In English Adeles Automorphic forms Linear algebraic groups Representations of groups Adelgruppe (DE-588)4272698-0 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Lineare algebraische Gruppe (DE-588)4295326-1 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Automorphe Form (DE-588)4003972-9 gnd rswk-swf Adelgruppe (DE-588)4272698-0 s Automorphe Form (DE-588)4003972-9 s 1\p DE-604 Gruppentheorie (DE-588)4072157-7 s Darstellungstheorie (DE-588)4148816-7 s 2\p DE-604 Lineare algebraische Gruppe (DE-588)4295326-1 s 3\p DE-604 Erscheint auch als Druck-Ausgabe 0-691-08156-5 Annals of Mathematics Studies number 83 (DE-604)BV040389493 83 https://doi.org/10.1515/9781400881611?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gelbart, Stephen S. 1946- Automorphic forms on adele groups Annals of Mathematics Studies Adeles Automorphic forms Linear algebraic groups Representations of groups Adelgruppe (DE-588)4272698-0 gnd Gruppentheorie (DE-588)4072157-7 gnd Lineare algebraische Gruppe (DE-588)4295326-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd Automorphe Form (DE-588)4003972-9 gnd |
| subject_GND | (DE-588)4272698-0 (DE-588)4072157-7 (DE-588)4295326-1 (DE-588)4148816-7 (DE-588)4003972-9 |
| title | Automorphic forms on adele groups |
| title_auth | Automorphic forms on adele groups |
| title_exact_search | Automorphic forms on adele groups |
| title_full | Automorphic forms on adele groups Stephen S. Gelbart |
| title_fullStr | Automorphic forms on adele groups Stephen S. Gelbart |
| title_full_unstemmed | Automorphic forms on adele groups Stephen S. Gelbart |
| title_short | Automorphic forms on adele groups |
| title_sort | automorphic forms on adele groups |
| topic | Adeles Automorphic forms Linear algebraic groups Representations of groups Adelgruppe (DE-588)4272698-0 gnd Gruppentheorie (DE-588)4072157-7 gnd Lineare algebraische Gruppe (DE-588)4295326-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd Automorphe Form (DE-588)4003972-9 gnd |
| topic_facet | Adeles Automorphic forms Linear algebraic groups Representations of groups Adelgruppe Gruppentheorie Lineare algebraische Gruppe Darstellungstheorie Automorphe Form |
| url | https://doi.org/10.1515/9781400881611?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT gelbartstephens automorphicformsonadelegroups |