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A Local Relative Trace Formula for the Ginzburg-Rallis Model
Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then by applying such formula, the author proves a multiplicity...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2019.
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| Colección: | Memoirs of the American Mathematical Society Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1130905898 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 200321s2019 riu o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCQ |d LOA |d OCLCO |d OCLCF |d K6U |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 066 | |c (S | ||
| 020 | |a 9781470454180 | ||
| 020 | |a 1470454181 | ||
| 029 | 1 | |a AU@ |b 000069466077 | |
| 035 | |a (OCoLC)1130905898 | ||
| 050 | 4 | |a QA243 |b .W36 2019 | |
| 082 | 0 | 4 | |a 512/.482 |q OCoLC |2 23/eng/20230216 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Wan, Chen. | |
| 245 | 1 | 2 | |a A Local Relative Trace Formula for the Ginzburg-Rallis Model |
| 260 | |a Providence : |b American Mathematical Society, |c 2019. | ||
| 300 | |a 1 online resource (102 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society Ser. ; |v v. 261 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |6 880-01 |a Cover -- Title page -- Chapter 1. Introduction and Main Result -- 1.1. The Ginzburg-Rallis model -- 1.2. Main results -- 1.3. Organization of the paper and remarks on the proofs -- 1.4. Acknowledgements -- Chapter 2. Preliminaries -- 2.1. Notation and conventions -- 2.2. Measures -- 2.3. (,)-families -- 2.4. Weighted orbital integrals -- 2.5. Shalika Germs -- Chapter 3. Quasi-Characters -- 3.1. Neighborhoods of Semisimple Elements -- 3.2. Quasi-characters of () -- 3.3. Quasi-characters of \Fg() -- 3.4. Localization -- Chapter 4. Strongly Cuspidal Functions | |
| 505 | 8 | |a 8.5. Local Sections -- 8.6. Calculation of _{ }() -- Chapter 9. Calculation of the limit lim_{ ₂!} _{, }() -- 9.1. Convergence of a premier expression -- 9.2. Combinatorial Definition -- 9.3. Change the truncated function -- 9.4. Proof of 9.3(5) -- 9.5. Proof of 9.3(6) -- 9.6. The split case -- 9.7. Principal proposition -- Chapter 10. Proof of Theorem 5.4 and Theorem 5.7 -- 10.1. Calculation of lim_{ ₂!} _{ }(): the Lie algebra case -- 10.2. A Premier Result -- 10.3. Proof of Theorem 5.4 and Theorem 5.7 -- 10.4. The proof of (_{ }")= (_{ }") | |
| 505 | 8 | |a Appendix A. The Proof of Lemma 9.1 and Lemma 9.11 -- A.1. The Proof of Lemma 9.1 -- A.2. The proof of Lemma 9.11 -- A.3. A final remark -- Appendix B. The Reduced Model -- B.1. The general setup -- B.2. The trilinear model -- B.3. The generalized trilinear \GL₂ models -- B.4. The middle model -- B.5. The type II models -- Bibliography -- Back Cover | |
| 520 | |a Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then by applying such formula, the author proves a multiplicity formula of the Ginzburg-Rallis model for the supercuspidal representations. Using that multiplicity formula, the author proves the multiplicity one theorem for the Ginzburg-Rallis model over Vogan packets in the supercuspidal case. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Trace formulas. | |
| 650 | 6 | |a Formules de trace. | |
| 650 | 7 | |a Trace formulas |2 fast | |
| 758 | |i has work: |a A local relative trace formula for the Ginzburg-Rallis Model: the geometric side (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFDHfv7w68qMKyw97Hv7Md |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Wan, Chen. |t A Local Relative Trace Formula for the Ginzburg-Rallis Model: the Geometric Side. |d Providence : American Mathematical Society, ©2019 |z 9781470436865 |
| 830 | 0 | |a Memoirs of the American Mathematical Society Ser. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5990824 |z Texto completo |
| 880 | 8 | |6 505-01/(S |a 4.1. Definition and basic properties -- 4.2. The Lie algebra case -- 4.3. Localization -- Chapter 5. Statement of the Trace Formula -- 5.1. The ingredients of the integral formula -- 5.2. The Main Theorem -- 5.3. The Lie Algebra Case -- Chapter 6. Proof of Theorem 1.3 -- 6.1. Definition of multiplicity -- 6.2. Proof of Theorem 1.3 -- Chapter 7. Localization -- 7.1. A Trivial Case -- 7.2. Localization of _{ }() -- 7.3. Localization of () -- Chapter 8. Integral Transfer -- 8.1. The Problem -- 8.2. Premier Transform -- 8.3. Description of affine space Ξ+Σ -- 8.4. Orbit in Ξ+Λ(B | |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5990824 | ||
| 994 | |a 92 |b IZTAP | ||