Solution of these equations via separation of variables, with Fourier series, Fourier integrals, and more general eigenfunction expansions. Prereqs., APPM 2350 and 2360 (min. grade C-). Coreq., APPM ...
In particular, I'm interested in the interplay between the Fourier theory of automorphic forms and the classical study of generalized Barnes integrals and hypergeometric series.
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