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Pseudodifferential Operators with Automorphic Symbols / by André Unterberger
(Pseudo-Differential Operators, Theory and Applications. ISSN:22970363 ; 11)
版 | 1st ed. 2015. |
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出版者 | Cham : Springer International Publishing : Imprint: Birkhäuser |
出版年 | 2015 |
本文言語 | 英語 |
大きさ | X, 202 p : online resource |
著者標目 | *Unterberger, André author SpringerLink (Online service) |
件 名 | LCSH:Operator theory LCSH:Number theory FREE:Operator Theory FREE:Number Theory |
一般注記 | 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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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783319186573 |
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EB00234047 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA329-329.9 DC23:515.724 |
書誌ID | 4000117362 |
ISBN | 9783319186573 |
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※2017年9月4日以降