Titles and Abstracts

Symposium on Harmonic Analysis

Tuesday, 26 July, 2022

Speaker: Jotsaroop Kaur   [Video]
Title: Maximal Bilinear Bochner Riesz means and some applications
Time: 09:30 am – 10:30 am

Abstract: We will discuss the Lp boundedness of maximal Bilinear Bochner Riesz means. We will also introduce the corresponding square function and study its boundedness properties. In the last part of the talk we will discuss some applications of Stein's square function in getting maximal estimates for a class of bilinear multipliers.

Speaker: Pritam Ganguly   [Video]
Title: Ornstein-Uhlenbeck meet Hermite: Extension problems and fractional Hardy type inequalities.
Time: 11:00 am – 12:00 pm

Abstract: In this talk, by bringing out the connection between Hermite and Ornstein-Uhlenbeck operators, we plan to discuss Hardy-type inequalities for the fractional powers of these operators. As part of our strategy, we study an extension problem associated with the Ornstein-Uhlenbeck operator. Additionally, we provide several characterizations of the solutions to the extension problem. This is based on joint work with R. Manna and S. Thangavelu.

Speaker: Bernhard Krotz   [Video]
Title: A Paley-Wiener theorem for Harish-Chandra modules
Time: 12:00 pm – 1:00 pm

Abstract: We formulate and prove a Paley-Wiener theorem for Harish-Chandra modules for real reductive groups. As a corollary we obtain a new and elementary proof of the Helgason conjecture.

Speaker: Rahul Garg   [Video]
Title: On pseudo-multipliers associated to Grushin operators
Time: 2:30 pm – 3:30 pm

Abstract: We shall discuss our recent results on Grushin pseudo-multipliers. Part of this talk is based on a joint work (arXiv:2202.10269) with Sayan Bagchi, Riju Basak and Abhishek Ghosh.