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＜E-Book＞
Pseudodifferential Operators with Automorphic Symbols / by André Unterberger
(Pseudo-Differential Operators, Theory and Applications. ISSN:22970363 ; 11)

Edition	1st ed. 2015.
Publisher	(Cham : Springer International Publishing : Imprint: Birkhäuser)
Year	2015
Language	English
Size	X, 202 p : online resource
Authors	*Unterberger, André author SpringerLink (Online service)
Subjects	LCSH:Operator theory LCSH:Number theory FREE:Operator Theory FREE:Number Theory
Notes	Introduction -- Basic modular distributions -- From the plane to the half-plane -- A short introduction to the Weyl calculus -- Composition of joint eigenfunctions of (...) and (...) -- The sharp composition of modular distributions -- The operator with symbol (...) -- from non-holomorphic to holomorphic modular forms -- Index The main results of this book combine pseudodifferential analysis with modular form and L-function theory, with the help of explicit spectral-theoretic calculations. The starting point is a notion of modular distribution in the plane, which will be new to most readers and which, under the Radon transformation, relates to the classical notion of non-holomorphic modular form. Holomorphic modular forms are also briefly considered, within a general scheme that addresses quantization theory and elementary but novel representation-theoretic concepts HTTP:URL=https://doi.org/10.1007/978-3-319-18657-3

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