Mathematics Colloquium: Some results of Harmonic Analysis on SL(2,R) and associated Riemannian symmetric space
Dr. Swagato Ray, Indian Statistical Institute, Kolkata.
| Speaker |
Dr. Swagato Ray, Indian Statistical Institute, Kolkata.
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|---|---|
| When |
Sep 06, 2022
from 04:00 PM to 05:00 PM |
| Where | Auditorium, ground floor, CAM, bangalore |
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Abstract: We will state certain results of Harmonic Analysis related to convolution and the Fourier transform on SL(2,R) and the associated Riemannian symmetric space SL(2,R)/SO(2). These results differ fundamentally from their Euclidean counterparts. Some of these results are valid for all connected, noncompact, Semisimple Lie groups with finite centre and the associated symmetric space G/K. However, we will also state certain results which are currently known to be true only when G is a noncompact semisimple Lie group with real rank 1.