Geometry V: Minimal Surfaces (Encyclopaedia of Mathematical

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The spectral theory of automorphic forms, from Avakumovic, Roelcke, and Selberg c. 1956, in effect decomposes $L^2(\Gamma\backslash H)$ with respect to the invariant Laplacian, descended from the Casimir operator on the group $SL_2(\mathbb R)$, which (anticipating theorems of Harish-Chandra) almost exactly corresponds to decomposition into irreducible unitary representations. The level of mathematical rigor isn't bad. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms.

Pages: 272

Publisher: Springer; Softcover reprint of hardcover 1st ed. 1997 edition (February 19, 2010)

ISBN: 3642082254

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