Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms (Pseudo-Differential Operators, 8) free ebook download.

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Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms (Pseudo-Differential Operators, 8) free ebook download

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Author(s):	Andre Unterberger

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	3034801653
Pages:	308	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	10/13/2021 10:36:58 AM

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Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane  to automorphic distribution theory in the plane. Spectral-theoretic questions are discussed in one or the other environment: in the latter one, the problem of decomposing automorphic functions in  according to the spectral decomposition of the modular Laplacian gives way to the simpler one of decomposing automorphic distributions in R2 into homogeneous components. The Poincar summation process, which consists in building automorphic distributions as series of g-transforms, for g E SL(2 Z), of some initial function, say in S(R2), is analyzed in detail. On , a large class of new automorphic functions or measures is built in the same way: one of its features lies in an interpretation, as a spectral density, of the restriction of the zeta function to any line within the critical strip.
The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory or pseudo-differential analysis.

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3041974	Book	https://florenfile.com/x79cklyzlvfh/3034...		0.00	alex21s

Tags: Analysis Automorphic Distributions Forms Modular Operators Plane Pseudodifferential Pseudo-Differential

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