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APRG Seminar

Title: Characterization of eigenfunctions of the Laplace-Beltrami operator using Fourier multipliers
Speaker: Muna Naik (Harish-Chandra Research Institute, Prayagraj)
Date: 07 October 2020
Time: 4 pm
Venue: Microsoft Teams (online)

In this talk, we will try to characterize eigenfunctions of the Laplace–Beltrami operator using Fourier multipliers via Roe-Strichartz type theorems in rank one symmetric spaces of noncompact type. This work has its origin in a simple result of Roe, which says that if all the derivatives and antiderivatives of a given function on the real line are uniformly bounded, then the function is a linear combination of sin(x) and cos(x). We will talk about ramification of this result in context of characterizing eigenfunctions of the Laplace-Beltrami operator. The talk will be based on a joint work with Prof. Rudra P. Sarkar.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 13 Jun 2024