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Seminar by S. Ray

Wednesday, March 7, 2018 - 14:30 to 15:30
Seminar Room, School of Mathematical Sciences
Swagato K Ray
ISI Kolkata
On limits of ball averages

In 1931 Plancherel and Polya observed the following amusing fact: If the averages of a locally integrable function on \mathbb R over balls of radius R with center x converges to f(x) for all x as R goes to infinity then f(x)=ax+b for some real numbers a and b. They went on to show that in higher dimension the limit of ball averages is a harmonic function. We shall talk about a generalization of this result for Riemannian symmetric spaces of noncompact type with rank one.

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