T. Przebinda

activity

20112023

most citedResonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,

R

)/SO(3)

5 citations · 8 across the 10 of their papers we have counts for

collaborators

11 papers

math.RT2023

Symmetry breaking operator for the reductive dual pair $(U_{l}, U_{l^{'}})$

M. McKee, A. Pasquale, T. Przebinda

We consider the dual pair $(G, G^{'}) = (U_{l}, U_{l^{'}})$ in the symplectic group $Sp_{2 l l^{'}} (R)$ . Fix a Weil representation of the metaplectic group $\til…

math.RT2023

A Cauchy--Harish-Chandra integral for a dual pair over a p-adic field, the definition and a conjecture

Hung Yean Loke, Tomasz Przebinda

For a real irreducible dual pair there is an integral kernel operator which maps the distribution character of an irreducible admissible representation of the group with the smalle…

math.RT2022

The resonances of the Capelli operators for small split orthosymplectic dual pairs

Roberto Bramati, Angela Pasquale, Tomasz Przebinda

Let $(G, G^{'})$ be a reductive dual pair in $S p (W)$ with rank $G \leq$ rank $G^{'}$ and $G^{'}$ semisimple. The image of the Casimir element of the universal enveloping algebra of $G^{'}$ under…

math.RT2022

The character correspondence in the stable range over a p-adic field

Hung Yean Loke, Tomasz Przebinda

Given a real irreducible dual pair there is an integral kernel operator which maps the distribution character of an irreducible admissible representation of the group with the smal…

math.RT2021★ 1 cited

Symmetry breaking operators for dual pairs with one member compact

M. McKee, A. Pasquale, T. Przebinda

We consider a dual pair $(G, G^{'})$ , in the sense of Howe, with G compact acting on $L^{2} (R^{n})$ , for an appropriate $n$ , via the Weil representation $ω$ . Let $\tilde{\mathrm{…

math.RT2016

The character and the wave front set correspondence in the stable range

Tomasz Przebinda

We relate the distribution characters and the wave front sets of unitary representation for real reductive dual pairs of type I in the stable range.

math.RT2015

Resonances for the Laplacian: the cases $B C_{2}$ and $C_{2}$ (except $S O_{0} (p, 2)$ with $p > 2$ odd)

J. Hilgert, A. Pasquale, T. Przebinda

Let $X = G / K$ be a Riemannian symmetric space of the noncompact type and restricted root system $B C_{2}$ or $C_{2}$ (except $G = S O_{0} (p, 2)$ with $p > 2$ odd). The analysis of the meromorphic…

math.RT2015

Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces

J. Hilgert, A. Pasquale, T. Przebinda

Let $X = X_{1} \times X_{2}$ be a direct product of two rank-one Riemannian symmetric spaces of the noncompact type. We show that when at least one of the two spaces is isomorphic to a r…

math.RT2014★ 5 cited

Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3, $R$ )/SO(3)

J. Hilgert, A. Pasquale, T. Przebinda

We show that the resolvent of the Laplacian on SL(3, $R$ )/SO(3) can be lifted to a meromorphic function on a Riemann surface which is a branched covering of $C$ . T…

math.RT2014★ 2 cited

Weyl calculus and dual pairs

M. McKee, A. Pasquale, T. Przebinda

We consider a dual pair $(G, G^{'})$ , in the sense of Howe, with $G$ compact acting on $L^{2} (R^{n})$ for an appropriate $n$ via the Weil Representation. Let $G$ be the…

math.RT2011

Semisimple orbital integrals on the symplectic space for a real reductive dual pair

M. McKee, A. Pasquale, T. Przebinda

We prove a Weyl Harish-Chandra integration formula for the action of a reductive dual pair on the corresponding symplectic space $W$ . As an intermediate step, we introduce a notion…

Symmetry breaking operator for the reductive dual pair (Ul​,Ul′​)

A Cauchy--Harish-Chandra integral for a dual pair over a p-adic field, the definition and a conjecture

The resonances of the Capelli operators for small split orthosymplectic dual pairs

The character correspondence in the stable range over a p-adic field

Symmetry breaking operators for dual pairs with one member compact

The character and the wave front set correspondence in the stable range

Resonances for the Laplacian: the cases BC2​ and C2​ (except SO0​(p,2) with p>2 odd)

Resonances for the Laplacian on products of two rank one Riemannian symmetric spaces

Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,R)/SO(3)

Weyl calculus and dual pairs

Semisimple orbital integrals on the symplectic space for a real reductive dual pair

Symmetry breaking operator for the reductive dual pair $(U_{l}, U_{l^{'}})$

Resonances for the Laplacian: the cases $B C_{2}$ and $C_{2}$ (except $S O_{0} (p, 2)$ with $p > 2$ odd)

Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3, $R$ )/SO(3)