Scattering theory for automorphic functions:
The application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward t...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
[1976]
|
| Series: | Annals of Mathematics Studies
number 87 |
| Subjects: | |
| Online Access: | Volltext |
| Summary: | The application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the Laplace-Beltrami operator over fundamental domains of finite area; the meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula. CONTENTS: 1. Introduction. 2. An abstract scattering theory. 3. A modified theory for second order equations with an indefinite energy form. 4. The Laplace-Beltrami operator for the modular group. 5. The automorphic wave equation. 6. Incoming and outgoing subspaces for the automorphic wave equations. 7. The scattering matrix for the automorphic wave equation. 8. The general case. 9. The Selberg trace formula |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) |
| Physical Description: | 1 online resource |
| ISBN: | 9781400881567 |
| DOI: | 10.1515/9781400881567 |
Staff View
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| 520 | |a The application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the Laplace-Beltrami operator over fundamental domains of finite area; the meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula. CONTENTS: 1. Introduction. 2. An abstract scattering theory. 3. A modified theory for second order equations with an indefinite energy form. 4. The Laplace-Beltrami operator for the modular group. 5. The automorphic wave equation. 6. Incoming and outgoing subspaces for the automorphic wave equations. 7. The scattering matrix for the automorphic wave equation. 8. The general case. 9. The Selberg trace formula | ||
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| isbn | 9781400881567 |
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| spelling | Lax, Peter D. 1926-2025 (DE-588)130442437 aut Scattering theory for automorphic functions Ralph S. Phillips, Peter D. Lax Princeton, NJ Princeton University Press [1976] © 1976 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 87 Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) The application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the Laplace-Beltrami operator over fundamental domains of finite area; the meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula. CONTENTS: 1. Introduction. 2. An abstract scattering theory. 3. A modified theory for second order equations with an indefinite energy form. 4. The Laplace-Beltrami operator for the modular group. 5. The automorphic wave equation. 6. Incoming and outgoing subspaces for the automorphic wave equations. 7. The scattering matrix for the automorphic wave equation. 8. The general case. 9. The Selberg trace formula In English Automorphic functions Scattering (Mathematics) Automorphe Funktion (DE-588)4143706-8 gnd rswk-swf Streutheorie (DE-588)4183697-2 gnd rswk-swf Streutheorie (DE-588)4183697-2 s Automorphe Funktion (DE-588)4143706-8 s 1\p DE-604 Phillips, Ralph S. 1913-1998 (DE-588)136630898 aut Erscheint auch als Druck-Ausgabe 0-691-08179-4 Annals of Mathematics Studies number 87 (DE-604)BV040389493 87 https://doi.org/10.1515/9781400881567?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lax, Peter D. 1926-2025 Phillips, Ralph S. 1913-1998 Scattering theory for automorphic functions Annals of Mathematics Studies Automorphic functions Scattering (Mathematics) Automorphe Funktion (DE-588)4143706-8 gnd Streutheorie (DE-588)4183697-2 gnd |
| subject_GND | (DE-588)4143706-8 (DE-588)4183697-2 |
| title | Scattering theory for automorphic functions |
| title_auth | Scattering theory for automorphic functions |
| title_exact_search | Scattering theory for automorphic functions |
| title_full | Scattering theory for automorphic functions Ralph S. Phillips, Peter D. Lax |
| title_fullStr | Scattering theory for automorphic functions Ralph S. Phillips, Peter D. Lax |
| title_full_unstemmed | Scattering theory for automorphic functions Ralph S. Phillips, Peter D. Lax |
| title_short | Scattering theory for automorphic functions |
| title_sort | scattering theory for automorphic functions |
| topic | Automorphic functions Scattering (Mathematics) Automorphe Funktion (DE-588)4143706-8 gnd Streutheorie (DE-588)4183697-2 gnd |
| topic_facet | Automorphic functions Scattering (Mathematics) Automorphe Funktion Streutheorie |
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| volume_link | (DE-604)BV040389493 |
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