[Math] Texts In Non-Commutative Harmonic Analysis

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What texts/books are available for progressing into non-commutative harmonic analysis?

Best Answer

I especially like

Lang: SL(2,R) (There is more than just SL(2,R) there)

Folland: A course in abstract harmonic analysis (especially for quasi invariant measures on homogeneous spaces)

Deitmar-Echterhoff: Principles of Harmonic Analysis (especially for the Selberg trace formula, structure of locally abelian groups and the measure theory part)

Barut and Raczka: The Theory of group representations and applications (For Mackey's theory of induced representation)

Montgomery, Zippin: Topological Transformation groups (Structure theory of locally compact groups and Hilbert 5th problem)