By Dorian Goldfeld
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Obtainable, concise, and self-contained, this e-book bargains a superb advent to 3 comparable topics: differential geometry, differential topology, and dynamical structures. issues of unique curiosity addressed within the booklet comprise Brouwer's mounted aspect theorem, Morse thought, and the geodesic circulate.
Pseudodifferential research, brought during this e-book in a manner tailored to the wishes of quantity theorists, relates automorphic functionality idea within the hyperbolic half-plane Π to automorphic distribution idea within the airplane. Spectral-theoretic questions are mentioned in a single or the opposite setting: within the latter one, the matter of decomposing automorphic features in Π in accordance with the spectral decomposition of the modular Laplacian offers strategy to the easier certainly one of decomposing automorphic distributions in R2 into homogeneous elements.
Clinical wisdom grows at a good looking pace--but few books have had as lasting an impression or performed as vital a job in our sleek international because the Mathematical conception of communique, released initially as a paper on communique concept greater than fifty years in the past. Republished in booklet shape almost immediately thereafter, it has considering the fact that passed through 4 hardcover and 16 paperback printings.
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Additional resources for Automorphic Forms and L-Functions for the Group GL(n,R) (Cambridge Studies in Advanced Mathematics)
Automorphic Forms and L-Functions for the Group GL(n,R) (Cambridge Studies in Advanced Mathematics) by Dorian Goldfeld