Title: A Characterisation of the Fourier transform on the Heisenberg group
Speaker: Dr. Lakshmi IISc
Date: 11 April 2014
Time: 4:00 - 5:00 p.m.
Venue: Lecture Hall I, Department of Mathematics
A recent theorem of S. Alesker, S. Artstein-Avidan and V. Milman characterises the Fourier transform on R^n as essentially the only transform on the space of tempered distributions which interchanges convolutions and pointwise products. Analogously, we study the image of the Schwartz space on the Heisenberg group under the Fourier transform and obtain a similar characterisation for the Fourier transform on the Heisenberg group. This is a joint work with Prof. S. Thangavelu.