Browsing Mathematics (Faculty of) by Subject "Harmonic Analysis"

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Amenability for the Fourier Algebra

Tikuisis, Aaron Peter (University of Waterloo, 2007-08-29)

The Fourier algebra A(G) can be viewed as a dual object for the group G and, in turn, for the group algebra L1(G). It is a commutative Banach algebra constructed using the representation theory of the group, and from which ...
Sidon and Kronecker-like sets in compact abelian groups

Yang, Xu (University of Waterloo, 2019-06-07)

Let $G$ be a compact abelian group and $\Ga$ be its discrete dual group. In this thesis we study various types of interpolation sets. A subset $E \subset \Ga$ is Sidon if every bounded function on $E$ can be interpolated ...
Strong Morita Equivalence and Imprimitivity Theorems

Kim, Se-Jin (University of Waterloo, 2016-09-15)

The purpose of this thesis is to give an exposition of two topics, mostly following the books \cite{R & W} and \cite{Wil}. First, we wish to investigate crossed product $C^*$-algebras in its most general form. Crossed ...