David Kazhdan

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20232026

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4 papers · 2 filters

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

An analogue of irreducible cuspidal representations for the group $P G L (2)$ over a two-dimensional local field

Alexander Braverman, David Kazhdan

Let $F$ be a local non-archimedian field of odd residue characteristic and let $G = P G L (2)$ . In this paper we study an analog of irreducible cuspidal representations of the group $G(…

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)))

An analogue of irreducible cuspidal representations for the group PGL(2) over a two-dimensional local field

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 $GL_{n} (F_{ℓ} ((t)))$

An analogue of irreducible cuspidal representations for the group $P G L (2)$ over a two-dimensional local field

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