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Harmonic analysis on locally compact groups
Representations of locally compact groups
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Subtopics
Basic properties of group representations
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Fixed points of group representations on Banach spaces
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Affine group representation and wavelet subspaces
Cyclic vectors and irreducibility of group representations
Matrix coefficients of group representations
Peter-Weyl Theory
Regular representation and faithfulness on L^1(G)
Stone-von Neumann Theorem