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Record Nr. |
UNINA9910299770003321 |
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Autore |
Unterberger André |
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Titolo |
Pseudodifferential Operators with Automorphic Symbols / / by André Unterberger |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 |
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ISBN |
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Edizione |
[1st ed. 2015.] |
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Descrizione fisica |
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1 online resource (208 p.) |
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Collana |
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Pseudo-Differential Operators, Theory and Applications, , 2297-0355 ; ; 11 |
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Disciplina |
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Soggetti |
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Operator theory |
Number theory |
Operator Theory |
Number Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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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