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| MAA Member Price: | $72.90 |
| AMS Member Price: | $48.60 |
| Softcover ISBN: | 978-1-4704-3686-5 |
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| Softcover ISBN: | 978-1-4704-3686-5 |
| Product Code: | MEMO/261/1263 |
| List Price: | $81.00 |
| MAA Member Price: | $72.90 |
| AMS Member Price: | $48.60 |
| eBook ISBN: | 978-1-4704-5418-0 |
| Product Code: | MEMO/261/1263.E |
| List Price: | $81.00 |
| MAA Member Price: | $72.90 |
| AMS Member Price: | $48.60 |
| Softcover ISBN: | 978-1-4704-3686-5 |
| eBook ISBN: | 978-1-4704-5418-0 |
| Product Code: | MEMO/261/1263.B |
| List Price: | $162.00 $121.50 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 261; 2019; 90 ppMSC: Primary 22
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.
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Table of Contents
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Chapters
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1. Introduction and Main Result
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2. Preliminaries
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3. Quasi-Characters
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4. Strongly Cuspidal Functions
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5. Statement of the Trace Formula
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6. Proof of Theorem
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7. Localization
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8. Integral Transfer
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9. Calculation of the limit $\lim _{N\rightarrow \infty } I_{x,\omega ,N}(f)$
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10. Proof of Theorem and Theorem
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A. The Proof of Lemma and Lemma
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B. The Reduced Model
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Additional Material
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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.
-
Chapters
-
1. Introduction and Main Result
-
2. Preliminaries
-
3. Quasi-Characters
-
4. Strongly Cuspidal Functions
-
5. Statement of the Trace Formula
-
6. Proof of Theorem
-
7. Localization
-
8. Integral Transfer
-
9. Calculation of the limit $\lim _{N\rightarrow \infty } I_{x,\omega ,N}(f)$
-
10. Proof of Theorem and Theorem
-
A. The Proof of Lemma and Lemma
-
B. The Reduced Model
