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|a 9783319186573
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|a 10.1007/978-3-319-18657-3
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|a Unterberger, André.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Pseudodifferential Operators with Automorphic Symbols
|h [electronic resource] /
|c by André Unterberger.
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|a 1st ed. 2015.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Birkhäuser,
|c 2015.
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|a X, 202 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|b PDF
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|a Pseudo-Differential Operators, Theory and Applications,
|x 2297-0363 ;
|v 11
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|a 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.
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|a 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.
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|a Operator theory.
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|a Number theory.
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|a Operator Theory.
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|a Number Theory.
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783319186580
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|i Printed edition:
|z 9783319186566
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|a Pseudo-Differential Operators, Theory and Applications,
|x 2297-0363 ;
|v 11
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|u https://doi.uam.elogim.com/10.1007/978-3-319-18657-3
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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