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Pseudodifferential operators with automorphic symbols

Record Type:	Electronic resources : Monograph/item
Title/Author:	Pseudodifferential operators with automorphic symbolsby Andre Unterberger.
Author:	Unterberger, Andre.
Published:	Cham :Springer International Publishing :2015.
Description:	x, 202 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Pseudodifferential operators.
Online resource:	http://dx.doi.org/10.1007/978-3-319-18657-3
ISBN:	9783319186573 (electronic bk.)

Pseudodifferential operators with automorphic symbols
Unterberger, Andre.

Pseudodifferential operators with automorphic symbols[electronic resource] /by Andre Unterberger. - Cham :Springer International Publishing :2015. - x, 202 p. :ill., digital ;24 cm. - Pseudo-differential operators, theory and applications,v.112297-0355 ;. - Pseudo-differential operators, theory and applications ;v.11..

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 (electronic bk.)

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

247427
Pseudodifferential operators.

LC Class. No.: QA329.7

Dewey Class. No.: 515.7242

Pseudodifferential operators with automorphic symbols
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245 1 0 $a Pseudodifferential operators with automorphic symbols $h [electronic resource] / $c by Andre Unterberger.
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490 1 $a Pseudo-differential operators, theory and applications, $x 2297-0355 ; $v v.11
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.
650 0 $a Pseudodifferential operators. $3 247427
650 0 $a Automorphic functions. $3 278153
650 1 4 $a Mathematics. $3 184409
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