arXiv subjects

Sundaram Thangavelu

Publications and source records attributed to Sundaram Thangavelu.

38 records · Page 3Linked to original sources

arXiv2005

The heat kernel transform for the Heisenberg group

The heat kernel transform H_t for the Heisenberg group is studied in detail. The main result shows that the image of H_t is a direct sum of two weighted Bergman spaces whose associated weighted functions are of oscillatory nature, i.e. attain positive and negative values.

math.CA↗

arXiv2004

Riesz transform and Riesz potentials for Dunkl transform

Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflection group. The $L^p$ boundedness of these operators is established in certain cases.

math.CA↗