Analysis seminar

Chun Kit Lai, McMaster University

"Fourier frames on general measure spaces"

Motivated from the Fuglede conjecture and the discovery of exponential
orthonormal basis on the one-fourth Cantor measure, but not for the
one-third one, there has been interest in understanding the kind of
measures that admit some exponential type bases and their relatives such
as Fourier frames and Riesz bases. By decomposing the measure into
discrete, singular and absolutely continuous part, we will report on the
recent progress in the study of Fourier frames on general measure spaces
by studying the types one by one.