S. Thangavelu

activity

20032023

most citedOn the maximal function associated to the spherical means on the Heisenberg group

14 citations · 62 across the 39 of their papers we have counts for

collaborators

Showing 2006Show all

3 papers · 1 filter

math.FA2006

Holomorphic Sobolev spaces associated to compact symmetric spaces

S. Thangavelu

Using Gutzmer's formula, due to Lassalle, we characterise the image of Sobolev spaces under the Segal-Bargmann transform on compact Riemannian symmetric spaces.

math.FA2006

A Paley-Wiener theorem for the inverse Fourier transform on some homogeneous spaces

Sundaram Thangavelu

We formulate and prove a version of Paley-Wiener theorem for the inverse Fourier transform on non-compact Riemannian symmetric spaces and Heisenberg groups. The main ingredient in…

math.FA2006

Heat kernel transform for nilmanifolds associated to the Heisenberg group

B. Kroetz, S. Thangavelu, Y. Xu

We study the heat kernel transform on a nilmanifold $M$ of the Heisenberg group. We show that the image of $L^{2} (M)$ under this transform is a direct sum of weighted Bergman spa…