【Analysis and Partial Differential Equations Seminar】On the Fourier transform of BV functions

Speaker: Dr. Luca Gennaioli, Research Fellow at the University of Warwick

Title: On the Fourier transform of BV functions

Abstract: In this talk we shall investigate the relation between the Fourier transform of \(\rm BV\)(bounded variation) functions and their singularities. We will discuss some averaged Plancherel identities for \({\rm BV}\) functions and a new characterisation of sets of finite perimeter in terms of their Fourier transform.