Fourfold Way in Real Analysis

Name: Fourfold Way in Real Analysis
Brand: Birkhauser Verlag AG
SKU: 9783764375447
Price: 297.36 RON
Availability: InStock

An Alternative to the Metaplectic Representation

Autor: André Unterberger

Limbă:

Legare: Copertă tare

Editura: Birkhauser Verlag AG

Disponibilitate: În depozitul extern în cantități mici

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297.36 lei

The fourfold way starts with the consideration of entire functions of one variable satisfying specif...

Informații despre carte

Autor

André Unterberger

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2006

Pagini

222

EAN

9783764375447

ISBN

3764375442

Enbook ID

01716812

Editura

Birkhauser Verlag AG

Greutate

1120

Dimensiuni

155 x 235 x 19

Descriere completă

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.

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Fourfold Way in Real Analysis

An Alternative to the Metaplectic Representation

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Descriere completă

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