Publications List

The versions here are usually more updated than other sources. However, they might be changed frequently, so please do not  use them for citation.

Published

N

Title

Joint with

Journal arXiv

year

1Some regular symmetric pairs [pdf, tex]Avraham AizenbudTransactions of AMS0805.25042010
2 Generalized Harish-Chandra descent, Gelfand pairs and an Archimedean analog of Jacquet-Rallis' Theorem [pdf, tex]

Avraham Aizenbud1

Duke Mathematical Journal 0812.5063 2009
3 Multiplicity one theorem for (GL(n+1,R), GL(n,R)) [pdf, tex]

Avraham Aizenbud

Selecta Mathematica 0808.2729 2009
4 Geometry of obstructed equisingular families of projective hypersurfaces [pdf, tex]

Anna Gourevitch

Journal of Pure and Applied Algebra

0803.2026

2009

5 Uniqueness of Shalika functionals (the Archimedean case) [pdf, tex]

Avraham Aizenbud, Herve Jacquet

Pacific Journal of Mathematics 0904.0922 2009
6(O(V+F), O(V)) is a Gelfand pair for any quadratic space V over a local field F [pdf, tex]

Avraham Aizenbud, Eitan Sayag

Mathematische Zeitschrift

 0711.1471

2009

7

(GL(n+1,F),GL(n,F)) is a Gelfand pair for any local field F [pdf, tex]

Avraham Aizenbud, Eitan Sayag  

 Compositio Mathematica

 0709.1273

2008

8

Schwartz functions on Nash manifolds [pdf, tex]

Avraham Aizenbud

IMRN

 0803.3395

2008

To appear

N

Title

Joint with

Journal arXiv

year

9

Multiplicity one Theorems [pdf, tex]

Avraham Aizenbud, Steve Rallis,
 Gérard Schiffmann

 Annals of Mathematics

 0709.4215

2008

10

De-Rham theorem and Shapiro lemma for  Schwartz functions on Nash manifolds [pdf, tex]

Avraham Aizenbud

Israel Journal of Mathematics

0802.3305

2008

11Multiplicity free Jacquet Modules [pdf, tex]Avraham AizenbudCanadian Mathematical Bulletin
0910.36592010

Submitted

N

Title

Joint with

arXiv

year

12 Spherical pairs over close local fields [pdf, tex]

Avraham Aizenbud, Nir Avni

0910.3199  2009
13 Smooth Transfer of Kloosterman Integrals [pdftex]

Avraham Aizenbud

1001.2490 2009

My thesis

N

Title

arXiv

year

14 Multiplicity One Theorems and Invariant Distributions [pdf] 0907.0965 2009

Reports

N

Title

Joint with

Remarks

See also

year

15

Multiplicity One Theorems [pdf]

-

Contents of my talk at the MFO (Oberwolfach) seminar "Harmonische Analysis und Darstellungstheorie Topologischer Gruppen". The talk was dedicated to [9].

Oberwolfach Reports
Volume 4, Issue 4, 2007

2007

16 Multiplicity One Theorems in Representation Theory [pdf]

Avraham Aizenbud

This is a report on my PhD work for general scientific public.

2009 annual report of Max Planck Society - Jahrbuch.

2008

 
Preprints covered  by other publications

N

Title

Joint with

Remarks

arXiv

year

17 A proof of the multiplicity one conjecture for GL(n) in GL(n+1) [pdf, tex]

Avraham Aizenbud

Included in [9]. This preprint may be useful since it is much shorter then [9] but still includes an important part of it. 0707.2363 2007
18

An archimedean analog of Jacquet - Rallis theorem [pdf, tex]

Avraham Aizenbud

Merged with [19] to form [2]. This 6-page preprint is useful  since it shortly recalls the technique of [2]  and then uses it to prove that (GLn+k(F),GLn(F)xGLk(F)) is a Gelfand pair, for all local fields F (of charF=0).

0803.3397

2008

19

Generalized Harish-Chandra descent and applications to Gelfand pairs [pdf, tex]

Avraham Aizenbud1

Merged with [18] to form [2].

0803.3395

2008

1. with an appendix joint with Avraham Aizenbud and Eitan Sayag.

see also: Arxiv Publications List

 

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