Pseudodifferential Operators with Automorphic Symbols [[electronic resource] /] / by André Unterberger

• Autore: Unterberger André
• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015
• Edizione: 1st ed. 2015.
• Descrizione fisica: 1 online resource (208 p.)
• Disciplina: 515.7242
• Soggetto topico: Operator theory; Number theory; Operator Theory; Number Theory
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and indexes.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Pseudodifferential operators with automorphic symbols
• ISBN: 3-319-18657-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910299770003321
• Lo trovi qui: Univ. Federico II
• Serie: Pseudo-Differential Operators, Theory and Applications, . 2297-0355 ; ; 11