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Product Code:  MEMO/261/1263 
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eBook ISBN:  9781470454180 
Product Code:  MEMO/261/1263.E 
List Price:  $81.00 
MAA Member Price:  $72.90 
AMS Member Price:  $48.60 
Softcover ISBN:  9781470436865 
eBook: ISBN:  9781470454180 
Product Code:  MEMO/261/1263.B 
List Price:  $162.00 $121.50 
MAA Member Price:  $145.80 $109.35 
AMS Member Price:  $97.20 $72.90 
Softcover ISBN:  9781470436865 
Product Code:  MEMO/261/1263 
List Price:  $81.00 
MAA Member Price:  $72.90 
AMS Member Price:  $48.60 
eBook ISBN:  9781470454180 
Product Code:  MEMO/261/1263.E 
List Price:  $81.00 
MAA Member Price:  $72.90 
AMS Member Price:  $48.60 
Softcover ISBN:  9781470436865 
eBook ISBN:  9781470454180 
Product Code:  MEMO/261/1263.B 
List Price:  $162.00 $121.50 
MAA Member Price:  $145.80 $109.35 
AMS Member Price:  $97.20 $72.90 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 261; 2019; 90 ppMSC: Primary 22
Following the method developed by Waldspurger and BeuzartPlessis in their proofs of the local GanGrossPrasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the GinzburgRallis model. Then by applying such formula, the author proves a multiplicity formula of the GinzburgRallis model for the supercuspidal representations. Using that multiplicity formula, the author proves the multiplicity one theorem for the GinzburgRallis model over Vogan packets in the supercuspidal case.

Table of Contents

Chapters

1. Introduction and Main Result

2. Preliminaries

3. QuasiCharacters

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


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Following the method developed by Waldspurger and BeuzartPlessis in their proofs of the local GanGrossPrasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the GinzburgRallis model. Then by applying such formula, the author proves a multiplicity formula of the GinzburgRallis model for the supercuspidal representations. Using that multiplicity formula, the author proves the multiplicity one theorem for the GinzburgRallis model over Vogan packets in the supercuspidal case.

Chapters

1. Introduction and Main Result

2. Preliminaries

3. QuasiCharacters

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