Linear Analysis Seminar

Date: October 19, 2018

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Alan Czuron, University of Houston

Title: On the isomorphisms of Fourier algebras of finite abelian groups.

Abstract: We prove that if G_1 and G_2 are two infinite Vielenkin groups of bounded exponents such that G_1 is not a subgroup of G_2 then there are finite dimensional invariant convolution subalgebras of L^1(G_1) distant from any invariant convolution subalgebras of L^1(G_2). We show that the norm of certain class of algebraic isomorphims between them grows to infinity with the dimension.