عنوان

The fourfold way in real analysis :

(Number (ISBN

0817675442

(Number (ISBN

3764375442

(Number (ISBN

3764375450

(Number (ISBN

9780817675448

(Number (ISBN

9783764375447

(Number (ISBN

9783764375454

Erroneous ISBN

3764375570

Number

b708735

Title Proper

The fourfold way in real analysis :

General Material Designation

[Book]

Other Title Information

an alternative to the metaplectic representation /

First Statement of Responsibility

André Unterberger.

Place of Publication, Distribution, etc.

Boston :

Name of Publisher, Distributor, etc.

Birkhäuser Verlag,

Date of Publication, Distribution, etc.

©2006.

Specific Material Designation and Extent of Item

1 online resource (x, 220 pages).

Series Title

Progress in mathematics ;

Volume Designation

v. 250

Text of Note

Includes bibliographical references (pages 217-218) and index.

Text of Note

The One-dimensional Anaplectic Representation -- The n-dimensional Anaplectic Analysis -- Towards the Anaplectic Symbolic Calculi -- The One-dimensional Case Revisited.

0

Text of Note

The fourfold way starts with the consideration of entire functions of one variable satisfying specific estimates at infinity, both on the real line and the pure imaginary line. A major part of classical analysis, mainly that which deals with Fourier analysis and related concepts, can then be given a parameter-dependent analogue. The parameter is some real number modulo 2, the classical case being obtained when it is an integer. The space L2(R) has to give way to a pseudo-Hilbert space, on which a new translation-invariant integral still exists. All this extends to the n-dimensional case, and in the alternative to the metaplectic representation so obtained, it is the space of Lagrangian subspaces of R2n that plays the usual role of the complex Siegel domain. In fourfold analysis, the spectrum of the harmonic oscillator can be an arbitrary class modulo the integers. Even though the whole development touches upon notions of representation theory, pseudodifferential operator theory, and algebraic geometry, it remains completely elementary in all these aspects. The book should be of interest to researchers working in analysis in general, in harmonic analysis, or in mathematical physics.

Source for Acquisition/Subscription Address

Springer

Stock Number

978-3-7643-7544-7

Title

Fourfold way in real analysis.

International Standard Book Number

9783764375447

Title

Springer e-books

Fourier analysis.

Harmonic analysis.

Inner product spaces.

Lie groups.

Phase space (Statistical physics)

Fourier Analysis.

Abstract Harmonic Analysis.

Functions of a Complex Variable.

Mathematical Methods in Physics.

Mathematics.

Topological Groups, Lie Groups.

Analyse harmonique.

Espace des phases (Physique statistique)

Espaces à produit scalaire.

Fourier, Analyse de.

Lie, Groupes de.

Fourier analysis.

Fourier analysis.

Harmonic analysis.

Harmonic analysis.

Inner product spaces.

Inner product spaces.

Lie groups.

Lie groups.

MATHEMATICS-- Infinity.

Phase space (Statistical physics)

Phase space (Statistical physics)

MAT-- 016000

Number

Edition

Class number

Book number

Class number

Class number

System Code

Unterberger, André.

Date of Transaction

20201207233938.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y