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Pseudodifferential Operators with Au...

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Pseudodifferential Operators with Automorphic Symbols

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Pseudodifferential Operators with Automorphic Symbols/ by André Unterberger.
作者:	Unterberger, André.
面頁冊數:	X, 202 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Operator theory. -
電子資源:	https://doi.org/10.1007/978-3-319-18657-3
ISBN:	9783319186573

Pseudodifferential Operators with Automorphic Symbols
Unterberger, André.

Pseudodifferential Operators with Automorphic Symbols[electronic resource] /by André Unterberger. - 1st ed. 2015. - X, 202 p.online resource. - Pseudo-Differential Operators, Theory and Applications,112297-0355 ;. - Pseudo-Differential Operators, Theory and Applications,11.

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.

ISBN: 9783319186573

Standard No.: 10.1007/978-3-319-18657-3doiSubjects--Topical Terms:

527910
Operator theory.

LC Class. No.: QA329-329.9

Dewey Class. No.: 515.724

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520 $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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