Avraham Aizenbud

collaborators

Showing math.RTShow all

3 papers · 1 filter

math.RT2026

A proof of Harish-Chandra's integrability theorem for cuspidal representations of $GL_{n} (F_{ℓ} ((t)))$

Avraham Aizenbud, Nir Avni, Dmitry Gourevitch +2

Consider the Chevalley map $p : gl_{n} (F) \to (gl_{n} // GL_{n}) (F),$ where $F = F_{ℓ} ((t))$ . We show that the push forward via $p$ of every smooth…

math.RT2026

Orbital integral bounds the character for cuspidal representations of $G L_{n} (F_{ℓ} ((t)))$

Avraham Aizenbud, Dmitry Gourevitch, David Kazhdan +1

We prove that the character of an irreducible cuspidal representation of $G L_{n} (F_{ℓ} ((t)))$ is locally bounded up to a logarithmic factor by the orbital integral of a m…

math.RT2026

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 $G (F)$ is integrable, that…

A proof of Harish-Chandra's integrability theorem for cuspidal representations of GLn​(Fℓ​((t)))

Orbital integral bounds the character for cuspidal representations of GLn​(Fℓ​((t)))

On Harish-Chandra's integrability theorem in positive characteristic

A proof of Harish-Chandra's integrability theorem for cuspidal representations of $GL_{n} (F_{ℓ} ((t)))$

Orbital integral bounds the character for cuspidal representations of $G L_{n} (F_{ℓ} ((t)))$