Raul Gomez

activity

20082022

most citedGeneralized and degenerate Whittaker models

33 citations · 52 across the 7 of their papers we have counts for

collaborators

8 papers

math.RT2022

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 $H_{n}$ to non-trivial unitary characters of its center $Z$ , and plays…

math.RT2016

Whittaker supports for representations of reductive groups

Raul Gomez, Dmitry Gourevitch, Siddhartha Sahi

Let $F$ be either $R$ or a finite extension of $Q_{p}$ , and let $G$ be a finite central extension of the group of $F$ -points of a reductive group defined over $F$ .…

math.RT2015★ 33 cited

Generalized and degenerate Whittaker models

Raul Gomez, Dmitry Gourevitch, Siddhartha Sahi

We study generalized and degenerate Whittaker models for reductive groups over local fields of characteristic zero (archimedean or non-archimedean). Our main result is the construc…

math.RT2013

Local theta lifting of generalized Whittaker models associated to nilpotent orbits

Raul Gomez, Chen-Bo Zhu

Let $(G, G ~)$ be a reductive dual pair over a local field ${\Fontauri k}$ of characteristic 0, and denote by $V$ and $V ~$ the standard modules of $G$ and $G ~$ ,…

math.RT2012★ 1 cited

The Bessel-Plancherel theorem and applications

Raul Gomez

Let $G$ be a simple Lie Group with finite center, and let $K \subset G$ be a maximal compact subgroup. We say that $G$ is a Lie group of tube type if $G / K$ is a hermitian symmetric…

math.RT2011

A Conjecture of Sakellaridis-Venkatesh on the Unitary Spectrum of Spherical Varieties

Wee Teck Gan, Raul Gomez

In a recent preprint, Sakellaridis and Venkatesh considered the spectral decomposition of the space $L^{2} (X)$ , where $X = H\G$ is a spherical variety and $G$ is a real or $p$ -adic g…

math.RT2010

Bessel Models for General Admissible Induced Representations: The Compact Stabilizer Case

Raul Gomez, Nolan Wallach

A holomorphic continuation of Jacquet type integrals for parabolic subgroups with abelian nilradical is studied. Complete results are given for generic characters with compact stab…

math.RA2008★ 18 cited

Determinant Expansions of Signed Matrices and of Certain Jacobians

J. William Helton, Igor Klep, Raul Gomez

This paper treats two topics: matrices with sign patterns and Jacobians of certain mappings. The main topic is counting the number of plus and minus coefficients in the determinant…