Joint BCAM-UPV/EHU Analysis and PDE seminar: An analogue of Beurling's theorem for the Heisenberg group

Date: Thu, Sep 23 2021

Hour: 12:00

Speakers: Sundaram Thangavelu

A theorem attributed to Beurling for the Fourier transform pairs asserts that for any nontrivial function f on R the bivariate function f(x) f(y)e |xy| is never integrable over R2. Well known uncertainty principles such as theorems of Hardy, Cowling-Price etc follow from this interesting result. In this talk we explore the possibility of formulating (and proving!) an analogue of Beurling´s theorem for the operator valued Fourier transform on the Heisenberg group.

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Indian Institute of Sciences

Confirmed speakers:

Sundaram Thangavelu