Gelfand’s proof of Weiner’s theorem

Speaker: Abhay Jindal

Date: 26th February, 2019

Time: 9:15pm-10:15pm


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.

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