7 citations · 17 across the 13 of their papers we have counts for
13 papers
The resonances of the Capelli operators for small split orthosymplectic dual pairs
Roberto Bramati, Angela Pasquale, Tomasz Przebinda
Let be a reductive dual pair in with rank rank and semisimple. The image of the Casimir element of the universal enveloping algebra of under…
Symmetry breaking operators for dual pairs with one member compact
M. McKee, A. Pasquale, T. Przebinda
We consider a dual pair , in the sense of Howe, with G compact acting on , for an appropriate , via the Weil representation . Let $\tilde{\mathrm{…
Resonances for the Laplacian on Riemannian symmetric spaces: the case of SL(3,)/SO(3)
J. Hilgert, A. Pasquale, T. Przebinda
We show that the resolvent of the Laplacian on SL(3,)/SO(3) can be lifted to a meromorphic function on a Riemann surface which is a branched covering of . T…
Ramanujan's Master theorem for the hypergeometric Fourier transform on root systems
Gestur Olafsson, Angela Pasquale
Ramanujan's Master theorem states that, under suitable conditions, the Mellin transform of an alternating power series provides an interpolation formula for the coefficients of thi…
Analytic and Group-Theoretic Aspects of the Cosine Transform
G. Ólafsson, A. Pasquale, B. Rubin
This is a brief survey of recent results by the authors devoted to one of the most important operators of integral geometry. Basic facts about the analytic family of cosine transfo…
Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
E. K. Narayanan, A. Pasquale, S. Pusti
A series expansion for Heckman-Opdam hypergeometric functions is obtained for all As a consequence, estimates for away from the walls…