Speaker: Abhay Jindal
Date: 26th February, 2019
Abstract: Weiner’s theorem is a simple statement which states that if the Fourier coefficients of a continuous functions f are absolutely summable, then Fourier coefficients of 1/f also is also absolutely summable provided f is non-vanishing on circle. There are many known proofs for this elagant result. One particularly interesting proof is due to Gelfand which we will describe in this talk.
Pre-requisites: We will keep the talk self contained. Anyone with the understanding of basic undergraduate mathematics is welcome.