Harmonic analysis on compact abelian groups
نویسنده
چکیده
Paul Garrett [email protected] http://www.math.umn.edu/ g̃arrett/ [This document is http://www.math.umn.edu/ ̃garrett/m/fun/notes 2012-13/06c cpt ab gps.pdf] 1. Approximate identities on topological groups 2. Uniqueness of invariant measure 3. Simultaneous eigenfunctions for integral operators 4. Simultaneous eigenfunctions are characters The spectral theory for normal compact operators on Hilbert spaces, and basic properties of Gelfand-Pettis integrals of vector-valued functions, have immediate application: uniqueness of invariant (Haar) measure on compact abelian groups A, and then proof that
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تاریخ انتشار 2013