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

19:17 05/09/2021

N

Title

Joint with

Journal

arXiv

year

43

The generalized doubling method: (k,c) models

Yuanqing Cai Solomon Friedberg Eyal Kaplan

Proceedings of the AMS

2109.11309

2023

42

Finite multiplicities beyond spherical spaces [pdf]

Avraham Aizenbud4

IMRN

2109.00204

2023

41

Multiplicity one theorem for the generalized doubling method

Eyal Kaplan 2

Journal of the European Math Society

1909.08382

2023

40

Generalized Whittaker quotients of Schwartz functions on G-spaces [pdf]

Eitan Sayag

IMRN

2001.11750

2023

39

A reduction principle for Fourier coefficients of automorphic forms

Henrik Gustafsson, Axel Kleinschmidt, Daniel Persson, Siddhartha Sahi

Mathematische Zeitschrift

1811.05966

2021

38

Eulerianity of Fourier coefficients of automorphic forms

Henrik Gustafsson, Axel Kleinschmidt, Daniel Persson, Siddhartha Sahi

Representation Theory

2004.14244

2021

37

Annihilator varieties of distinguished modules of reductive Lie algebras [pdf]

Eitan Sayag4

Forum of Math, Sigma

2001.11746

2021

36

Generalized Whittaker and Zelevinsky models for the general linear group

IMRN

Appendix A to 1909.11971

2021

35

Whittaker supports for representations of reductive groups [pdf]

Siddhartha Sahi, Raul Gomez,

Annales de l'institut Fourier

1610.00284

2021

34

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups

Henrik Gustafsson, Axel Kleinschmidt, Daniel Persson, Siddhartha Sahi

Canadian Journal of Mathematics

1908.08296

2021

33

Representations of Reductive Groups - conference proceedings

Avraham Aizenbud, David Kazhdan, Erez Lapid, Editors

Proceedings of Symposia in Pure Mathematics

2019

32

Generalized and degenerate Whittaker quotients and Fourier coefficients

Siddhartha Sahi

Proceedings of Symposia in Pure Mathematics

2019

31

Invariant generalized functions supported on an orbit [pdf]

Avraham Aizenbud

Israel Journal of Mathematics

1608.03442

2018

30

Analytic continuation of equivariant distributions [pdf]

Siddhartha Sahi, Eitan Sayag

IMRN

1608.03442

2018

29

Generalized and degenerate Whittaker models [pdf]

Siddhartha Sahi, Raul Gomez

Compositio Mathematica

1502.06483

2017

28

Composition series for degenerate principal series of GL(n) [pdf]

Mathematical reports of the royal society of Canada

1510.05255

2017

27

Holonomicity of relative characters and applications to multiplicity bounds for spherical pairs [pdf]

Avraham Aizenbud, Andrey Minchenko

Selecta Mathematica

1501.01479

2016

26

Hausdorffness for Lie algebra homology of Schwartz spaces and applications to the comparison conjecture

Avraham Aizenbud, Bernhard Kroetz, Gang Liu

Mathematische Zeitschrift

1403.5917

2016

25

z-finite distributions on p-adic groups [pdf, tex]

Avraham Aizenbud, Eitan Sayag3

Advances in Mathematics

1405.2540

2015

24

Invariant functionals on the Speh representation [pdf, tex]

Siddhartha Sahi, Eitan Sayag

Transformation Groups

1405.2713

2015

23

Vanishing of certain equivariant distributions on spherical spaces [pdf, tex]

Avraham Aizenbud

Mathematische Zeitschrift

1311.6111

2015

22

Derivatives for representations of GL(n;R) and GL(n;C) [pdf,tex]

Siddhartha Sahi Avraham Aizenbud

Israel Journal of Mathematics

1109.4374

2015

21

Twisted homology for the mirabolic nilradical [pdf,tex]

Siddhartha Sahi Avraham Aizenbud

Israel Journal of Mathematics

1210.5389

2015

20

Degenerate Whittaker models for representations of real reductive groups [pdf,tex]

Siddhartha Sahi

American Journal of Mathematics

1210.4064

2015

19

On an analytic description of the $\alpha$-cosine transform on real Grassmannians

Siddhartha Sahi, Semyon Alesker

Communications in Contemporary Mathematics

1409.4882

2015

18

Vanishing of certain equivariant distributions on p-adic spherical spaces [pdf, tex]

Avraham Aizenbud, Alexander Kemarsky

IMRN

1404.3383

2015

17 Intertwining operators between line bundles on Grassmannians [pdf,tex]

Siddhartha Sahi

Journal of Lie Theory

1303.1057

2013

16 Irreducible Representations of a Product of Real Reductive Groups [pdf]

Alexander Kemarsky

Journal of Lie Theory

1212.6004

2013

15

Smooth Transfer of Kloosterman Integrals [pdftex]

Avraham Aizenbud

American Journal of Mathematics

1001.2490

2013

14 Annihilator varieties, adduced representations, Whittaker functionals, and rank for unitary representations of GL(n) [pdf,tex]

Siddhartha Sahi

Selecta Mathematica

1106.0454

2012

13 Existence of Archimedean Klyachko models [pdf]

Omer Offen, Siddhartha Sahi, Eitan Sayag

Journal of Functional Analysis

1107.4621

2012

12

Multiplicity free Jacquet Modules [pdf, tex]

     Avraham Aizenbud

Canadian Mathematical Bulletin

0910.3659

2011

11

Spherical pairs over close local fields [pdf, tex]

Avraham Aizenbud, Nir Avni

Commentarii Mathematici Helvetici

0910.3199 

2010

10

Multiplicity one Theorems [pdf, tex]

Avraham Aizenbud, Steve Rallis,
 Gérard Schiffmann

 Annals of Mathematics

 0709.4215

2010

9

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

Avraham Aizenbud

Israel Journal of Mathematics

0802.3305

2010

8

Some regular symmetric pairs [pdf, tex]

Avraham Aizenbud

Transactions of AMS

0805.2504

2010

7

Generalized Harish-Chandra descent, Gelfand pairs and an Archimedean analog of Jacquet-Rallis' Theorem [pdf, tex]

Avraham Aizenbud1

Duke Mathematical Journal

0812.5063

2009

6

Multiplicity one theorem for (GL(n+1,R), GL(n,R)) [pdf, tex]

Avraham Aizenbud

Selecta Mathematica

0808.2729

2009

5

Geometry of obstructed equisingular families of projective hypersurfaces [pdf, tex]

Anna Gourevitch

Journal of Pure and Applied Algebra

0803.2026

2009

4

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

Avraham Aizenbud, Herve Jacquet

Pacific Journal of Mathematics

0904.0922

2009

3

(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

2

(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

1

Schwartz functions on Nash manifolds [pdf, tex]

Avraham Aizenbud

IMRN

 0803.3395

2008

To appear

N

Title

Joint with

Journal

arXiv

year

44

Irreducibility of wave-front sets for depth zero cuspidal representations

Avraham Aizenbud, Eitan Sayag

Journal of Lie Theory

2205.14695

2024

Preprints

N

Title

Joint with

arXiv

year

45

A Stone-von Neumann equivalence of categories for smooth representations of the Heisenberg group

Raul Gomez, Siddhartha Sahi

2201.12638

2022

46

Quotients of Nash Manifolds by Equivalence Relations

Avraham Aizenbud, Shachar Carmeli, Lev Radzivilovski

2304.02287

2023

47

Symplectic complexity of reductive group actions

Avraham Aizenbud

2303.11132

2023

My thesis

N

Title

arXiv

year

a

Multiplicity One Theorems and Invariant Distributions [pdf]

0907.0965

2009

Reports

N

Title

Joint with

Remarks

See also

year

b

Multiplicity One Theorems [pdf]

-

Contents of my talk at the MFO (Oberwolfach) seminar "Harmonische Analysis und Darstellungstheorie Topologischer Gruppen". The talk was dedicated to [10].

Oberwolfach Reports
Volume 4, Issue 4, 2007

2007

c

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.

2009

 
Preprints covered  by other publications

N

Title

Joint with

Remarks

arXiv

year

d

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

Avraham Aizenbud

Included in [10]. This preprint may be useful since it is much shorter than [20] but still includes an important part of it.

0707.2363

2007

e

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

Avraham Aizenbud

Merged with [f] to form [7]. This 6-page preprint is useful  since it shortly recalls the technique of [7]  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

f

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

Avraham Aizenbud1

Merged with [e] to form [7].

0803.3395

2008

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

2. with an appendix joint with Avraham Aizenbud

3. with an appendix joint with Avraham Aizenbud, Eitan Sayag., and Alexander Kemarsky

4. with an appendix by Ido Karshon

see also: Arxiv Publications List

 

Back to my homepage