Pseudodifferential operators with automorphic symbols /

Pseudodifferential operators with automorphic symbols /

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Bibliographic Details
Author / Creator:	Unterberger, André, author.
Imprint:	Cham : Birkhäuser, 2015.
Description:	1 online resource.
Language:	English
Series:	Pseudo-differential operators: theory and applications, 2297-0363 ; vol. 11 Pseudo-differential operators, theory and applications ; v. 11.
Subject:	Pseudodifferential operators. Automorphic functions. Automorphic functions. Pseudodifferential operators.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11094809

Hidden Bibliographic Details
ISBN:	9783319186573 3319186574 3319186566 9783319186566 9783319186566
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (Ebsco, viewed June 29, 2015).
Summary:	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.
Other form:	Printed edition: 9783319186566
Standard no.:	10.1007/978-3-319-18657-3

Table of Contents:

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.