Automorphic Forms and Related Geometry : (Record no. 68827)
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| fixed length control field | 07790nam a22005533i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113293 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124539.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2014 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470416584 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821893944 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113293 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113293 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10878748 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)875590351 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA353.A9 -- .A9285 2014eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515/.9 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Cogdell, James W. |
| 245 10 - TITLE STATEMENT | |
| Title | Automorphic Forms and Related Geometry : |
| Remainder of title | Assessing the Legacy of I.I. Piatetski-Shapiro. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2014. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2014. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (454 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Contemporary Mathematics ; |
| Volume/sequential designation | v.614 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Preface -- On parameters for the group (2 ) -- 1. Background -- 2. Statement of the local theorem -- 3. The problem of uniqueness -- 4. The global theorem -- 5. Proof of the local theorem -- References -- Piatetski-Shapiro's Work on Converse Theorems -- 1. -functions for _{ }× _{ } with < -- -- 2. Converse Theorems -- 3. Limiting the rank of the twists -- 4. Limiting the ramification of the twists -- 5. Speculation on ₁ twists -- 6. Converse theorems with poles -- 7. Local converse theorems -- 8. Final remarks -- Acknowledgement -- References -- A -adic integral for the reciprocal of -functions -- 1. Introduction and Motivation -- 2. Mazur's measure and its real analytic interpretation -- 3. Fourier coefficients of classical Eisenstein series -- 4. Proof of \thmref{th1} -- Acknowledgements -- References -- Harmonic analysis on symmetric spaces as complex analysis -- 1. Horospherical reduction of complex symmetric spaces (geometrical picture) -- 2. Horospherical reduction of complex symmetric spaces (analytic construction of intertwining operators) -- 3. Dual horospherical Cauchy transform -- 4. Cauchy formula on complex symmetric spaces -- 5. Horospherical duality for real symmetric spaces. Compact spaces -- 6. Horospherical duality for complex crowns of symmetric spaces -- 7. Tube Stein manifolds on causal symmetric spaces -- References -- Testing rationality of coherent cohomology of Shimura varieties -- Introduction -- 1. Restrictions of discrete series representations and global consequences -- 2. Restrictions of minimal types -- 3. Coherent cohomology of unitary group Shimura varieties -- 4. Gross-Prasad periods as cup products -- Acknowledgements -- References -- Hecke fields of Hilbert modular analytic families -- 1. Hilbert Modular Forms of -power level -- 2. Weil numbers. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3. Theorems and conjectures -- 4. Rigidity lemmas -- 5. A Frobenius eigenvalue formula -- 6. Proof of the horizontal theorem: \thmref{Hthm} -- 7. Relative version -- References -- Structure of holomorphic unitary representations: the case of _{2,2} -- 1. Introduction -- 2. Notation -- 3. \Gln harmonics and invariants on \pvnkl -- 4. Special highest weight vectors in \calh⊗ -- 5. The case ≥4, = =2 -- 6. The case =3, = =2 -- 7. The case = = =2 -- 8. The case =1 -- 9. Application to holomorphic unitary representations -- References -- Mellin Transform of Whittaker functions -- 1. Introduction -- 2. Proof of the Theorem -- References -- Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences -- 1. Introduction -- 2. Arthur Parametrization of Discrete Spectrum -- 3. Endoscopy Structures for Classical Groups -- 4. Fourier Coefficients and Nilpotent Orbits -- 5. Constructions of the Automorphic Kernel Functions -- 6. Automorphic Descents and Automorphic Forms of Simple Type -- 7. Theta Correspondence and ( , )-Theory -- 8. Endoscopy Correspondence and ( , )-Theory -- 9. Final Remarks -- References -- An inductive formula for -factors -- 1. Introduction -- Notation and Conventions -- 2. Whittaker Models and Functional Equations -- 3. Construction of Whittaker Functions after Paskunas-Stevens -- 4. An inductive formula of -factors -- 5. Proof of Theorem 4.4.3 -- Acknowledgement -- References -- On a new functional equation for local integrals -- 1. Introduction and statement of main result -- 2. Basic estimates -- 3. Model transition -first case -- 4. Model transition -second case -- 5. The functional equation -- Appendix A. Convergence results -- Appendix B. More functional equations -- Acknolwedgement -- References -- Paquets stables des séries discrètes accessibles par endoscopie tordue. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | leur paramètre de Langlands -- 1. Introduction -- 2. Notations et propriétés générales -- 3. Le cas des représentations cuspidales -- 4. Support cuspidal étendu et ensemble de blocs de Jordan -- 5. Morphisme dans le L-groupe -- 6. Morphisme de Langlands des paquets stables de séries discrètes -- 7. -groupe et cardinal des paquets stables de représentations tempérées -- References -- On a certain sum of automorphic -functions -- 1. Automorphic -functions as a trace -- 2. Geometric construction of -- 3. A certain sum of -functions -- References -- Analytic constructions of -adic -functions and Eisenstein series -- 1. Complex and -adic -functions -- 2. -adic meromorphic continuation of the Siegel-Eisenstein series -- 3. Pseudomeasures and their Mellin transform -- 4. Application to Minkowski-Siegel Mass constants -- 5. Link to Shahidi's method for SL(2) and regular prime -- 6. Doubling method and Ikeda's constructions -- Appendix A. Appendix. On -adic -functions for (4) -- References -- On stability of root numbers -- Introduction -- 1. What is Stability? -- 2. Towards a general stability -- 3. Stability and equality of factors in the case ( , ,Λ², _{ }) -- 4. Concluding Remarks -- References -- CAP forms, Eisenstein series, and some arithmetic applications -- 1. Introduction -- 2. Selmer groups -- 3. Finding extensions -- 4. Forms on ₄ -- 5. Eisenstein series on unitary groups -- 6. Some comments -- References -- Automorphic descent: an outgrowth from Piatetski-Shapiro's vision -- 1. Introduction -- 2. Rankin-Selberg integrals -- 3. Poles of -functions and automorphic descent -- 4. On CAP representations of \Sp_{4 }(\BA) -- 5. On CAP representations of split even orthogonal groups -- References -- On the singularities of branch curves of 3 surfaces and applications -- 1. Introduction. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2. Adjoint curves, Branch curves, 3 surfaces -- 3. Zariski pairs and 3 surfaces -- References. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | P?i?ate?t?skii-Shapiro, I. I. -- (Il'?i?a Iosifovich), -- 1929-2009. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Automorphic forms -- Congresses. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | L-functions -- Congresses. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Forms (Mathematics) -- Congresses. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry -- Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Shahidi, Freydoon. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Soudry, David. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Cogdell, James W. |
| Title | Automorphic Forms and Related Geometry |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2014 |
| International Standard Book Number | 9780821893944 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Contemporary Mathematics |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113293">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113293</a> |
| Public note | Click to View |
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