Browsing Mathematics (Faculty of) by Subject "Harmonic analysis"
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Operator Spaces and Ideals in Fourier Algebras
(University of Waterloo, 2008-08-11)In this thesis we study ideals in the Fourier algebra, A(G), of a locally compact group G. For a locally compact abelian group G, necessary conditions for a closed ideal in A(G) to be weakly complemented are given, ... -
Spectral Analysis of Laplacians on Certain Fractals
(University of Waterloo, 2007-12-06)Surprisingly, Fourier series on certain fractals can have better convergence properties than classical Fourier series. This is a result of the existence of gaps in the spectrum of the Laplacian. In this work we prove a ...