102 citations · 502 across the 49 of their papers we have counts for
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A proof of Harish-Chandra's integrability theorem for cuspidal representations of
Avraham Aizenbud, Nir Avni, Dmitry Gourevitch +2
Consider the Chevalley map where . We show that the push forward via of every smooth…
Orbital integral bounds the character for cuspidal representations of
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +1
We prove that the character of an irreducible cuspidal representation of is locally bounded up to a logarithmic factor by the orbital integral of a m…
On Harish-Chandra's integrability theorem in positive characteristic
Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +3
The celebrated Harish-Chandra's integrability theorem states that the distributional character of an irreducible smooth representation of a p-adic group is integrable, that…
Irreducibility of wave-front sets for depth zero cuspidal representations
Avraham Aizenbud, Dmitry Gourevitch, Eitan Sayag
We show that the results of [BM97, DeB02b, Oka, Lus85, AA07, Tay16] imply a positive answer to the question of Moeglin-Waldspurger on wave-front sets in the case of depth zero cusp…
A Stone-von Neumann equivalence of categories for smooth representations of the Heisenberg group
Raul Gomez, Dmitry Gourevitch, Siddhartha Sahi
The classical Stone-von Neuman theorem relates the irreducible unitary representations of the Heisenberg group to non-trivial unitary characters of its center , and plays…
Finite multiplicities beyond spherical spaces
Avraham Aizenbud, Dmitry Gourevitch
Let be a real reductive algebraic group, and let be an algebraic subgroup. It is known that the action of on the space of functions on is "tame" if this…