My Wish Lists Login / Join

Quantization and Non-Holomorphic Modular Forms : Lecture Notes in Mathematics - AndrÃ© Unterberger

Instant online reading.
Don't wait for delivery!

Quantization and Non-Holomorphic Modular Forms

By: AndrÃ© Unterberger

Write A Review

Paperback | 1 October 2000

At a Glance

Paperback
268 Pages

Dimensions(cm)
23.5 x 15.24 x 1.27

Paperback

$64.99

or 4 interest-free payments of $16.25 with

Ships in 5 to 7 business days

This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Number Theory Medicine Medicine in General Calculus & Mathematical Analysis Differential Calculus & Equations Integral Calculus & Equations Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory

Foreword: instructions for use
Introduction	p. 1
Distributions associated with the non-unitary principal series	p. 11
Modular distributions	p. 17
The principal series of SL(2,R) and the Radon transform	p. 25
Another look at the composition of Weyl symbols	p. 33
The Roelcke-Selberg decomposition and the Radon transform	p. 45
Recovering the Roelcke-Selberg coefficients of a function in L[superscript 2](Gamma\II)	p. 61
The "product" of two Eisenstein distributions	p. 69
The Roelcke-Selberg expansion of the product of two Eisenstein series: the continuous part	p. 77
A digression on Kloosterman sums	p. 91
The Roelcke-Selberg expansion of the product of two Eisenstein series: the discrete part	p. 97
The expansion of the Poisson bracket of two Eisenstein series	p. 111
Automorphic distributions on R[superscript 2]	p. 119
The Hecke decomposition of products or Poisson brackets of two Eisenstein series	p. 131
A generating series of sorts for Maass cusp-forms	p. 149
Some arithmetic distributions	p. 163
Quantization, products and Poisson brackets	p. 177
Moving to the forward light-cone: the Lax-Phillips theory revisited	p. 191
Automorphic functions associated with quadratic PSL(2, Z)- orbits in P[subscript 1](R)	p. 213
Quadratic orbits: a dual problem	p. 231
Index of notations: page 1	p. 247
Index of notations: page 2	p. 248
Subject index	p. 249
References	p. 251
Table of Contents provided by Blackwell. All Rights Reserved.

Quantization and Non-Holomorphic Modular Forms

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Number Theory

Elements of Number Theory

Simply Maths

DK Simply

Symmetries of Algebraic Varieties in Two and Three Dimensions

A Computational Approach

Multivariable Calculus Set Free Infinitesimals Ride Again

Infinitesimals Ride Again

Multivariable Calculus Set Free

Infinitesimals Ride Again

Representation Theory and C*-algebras

Introduction to Modern Cryptography

Revised Third Edition

Introduction to Mathematical Logic

Discrete Mathematics and Its Applications

Ramification Groups of Local Fields

with Geometric Applications

Quasi-Projective and Formal-Analytic Arithmetic Surfaces

Annals of Mathematics Studies

Numbers from all Angles

Multiplicative Hitchin Fibrations and the Fundamental Lemma

Annals of Mathematics Studies

Zariski Dense Subgroups, Number Theory and Geometric Applications

Research Articles

Some Contributions to Number Theory and Beyond

Proceedings of the Centenary Symposium for M. V. Subbarao

Steiner Type Packing Problems in Digraphs

SpringerBriefs in Mathematics

Zariski Dense Subgroups, Number Theory and Geometric Applications

Mini Courses and Expository Articles

Srinivasa Ramanujan

His Life, Legacy, and Mathematical Influence

Imo Problems, Theorems, And Methods

Number Theory

Essays in Analytic Number Theory

In Honor of Helmut Maierâs 70th Birthday

Chapman & Hall/CRC Cryptography and Network Security

Chapman & Hall/Crc Cryptography and Network Security

From Numbers To Analysis

Constructions and Properties

Selected Problems Of The Vietnamese Mathematical Olympiad (1962-2009)

Mathematical Olympiad

Problems Of Number Theory In Mathematical Competitions

Mathematical Olympiad Series

Huge Numbers

A Story of Counting Ambitiously, from 4 1/2 to Fish 7

This product is categorised by