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The Resource The fourfold way in real analysis : an alternative to the metaplectic representation, André Unterberger

The fourfold way in real analysis : an alternative to the metaplectic representation, André Unterberger

Label
The fourfold way in real analysis : an alternative to the metaplectic representation
Title
The fourfold way in real analysis
Title remainder
an alternative to the metaplectic representation
Statement of responsibility
André Unterberger
Creator
Subject
Language
eng
Summary
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
Member of
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Unterberger, André
Dewey number
515/.2433
Index
index present
LC call number
QA403.5
LC item number
.U58 2006eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
NLM call number
Online Book
Series statement
Progress in mathematics
Series volume
v. 250
http://library.link/vocab/subjectName
  • Fourier analysis
  • Lie groups
  • Inner product spaces
  • Phase space (Statistical physics)
  • Harmonic analysis
  • Fourier Analysis
  • Mathematics
  • Abstract Harmonic Analysis
  • Functions of a Complex Variable
  • Mathematical Methods in Physics
  • Topological Groups, Lie Groups
  • Fourier, Analyse de
  • Lie, Groupes de
  • Espaces à produit scalaire
  • Espace des phases (Physique statistique)
  • Analyse harmonique
  • MATHEMATICS
  • Inner product spaces
  • Phase space (Statistical physics)
  • Harmonic analysis
  • Fourier analysis
  • Lie groups
  • Fourier analysis
  • Harmonic analysis
  • Inner product spaces
  • Lie groups
  • Phase space (Statistical physics)
Label
The fourfold way in real analysis : an alternative to the metaplectic representation, André Unterberger
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 217-218) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The One-dimensional Anaplectic Representation -- The n-dimensional Anaplectic Analysis -- Towards the Anaplectic Symbolic Calculi -- The One-dimensional Case Revisited
Control code
262693978
Dimensions
unknown
Extent
1 online resource (x, 220 pages).
Form of item
online
Isbn
9783764375447
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-7544-7
Specific material designation
remote
System control number
(OCoLC)262693978
Label
The fourfold way in real analysis : an alternative to the metaplectic representation, André Unterberger
Publication
Bibliography note
Includes bibliographical references (pages 217-218) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
The One-dimensional Anaplectic Representation -- The n-dimensional Anaplectic Analysis -- Towards the Anaplectic Symbolic Calculi -- The One-dimensional Case Revisited
Control code
262693978
Dimensions
unknown
Extent
1 online resource (x, 220 pages).
Form of item
online
Isbn
9783764375447
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
http://library.link/vocab/ext/overdrive/overdriveId
978-3-7643-7544-7
Specific material designation
remote
System control number
(OCoLC)262693978

Library Locations

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      38.944491 -92.326012
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