The Resource The Fourfold Way In Real Analysis : An Alternative to the Metaplectic Representation, by André Unterberger, (electronic resource)
The Fourfold Way In Real Analysis : An Alternative to the Metaplectic Representation, by André Unterberger, (electronic resource)
Resource Information
The item The Fourfold Way In Real Analysis : An Alternative to the Metaplectic Representation, by André Unterberger, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Bowdoin College Library.This item is available to borrow from 1 library branch.
Resource Information
The item The Fourfold Way In Real Analysis : An Alternative to the Metaplectic Representation, by André Unterberger, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Bowdoin College Library.
This item is available to borrow from 1 library branch.
 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 parameterdependent 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 pseudoHilbert space, on which a new translationinvariant integral still exists. All this extends to the ndimensional 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
 Language
 eng
 Extent
 1 online resource (X, 220 p.)
 Contents

 Introduction
 The Onedimensional Anaplectic Representation
 The ndimensional Anaplectic Analysis
 Towards the Anaplectic Symbolic Calculi
 The Fourfold Way
 Bibliography
 Index.
 Isbn
 9783764375454
 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
 by André Unterberger
 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 parameterdependent 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 pseudoHilbert space, on which a new translationinvariant integral still exists. All this extends to the ndimensional 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
 http://library.link/vocab/creatorName
 Unterberger, André
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink (Online service)
 Series statement
 Progress in Mathematics
 Series volume
 250
 http://library.link/vocab/subjectName

 Mathematics
 Topological Groups
 Harmonic analysis
 Functions of complex variables
 Mathematical physics
 Label
 The Fourfold Way In Real Analysis : An Alternative to the Metaplectic Representation, by André Unterberger, (electronic resource)
 Contents
 Introduction  The Onedimensional Anaplectic Representation  The ndimensional Anaplectic Analysis  Towards the Anaplectic Symbolic Calculi  The Fourfold Way  Bibliography  Index.
 Control code
 ssj0000157669
 Dimensions
 unknown
 Extent
 1 online resource (X, 220 p.)
 Form of item
 online
 Governing access note
 Access restricted to subscribing institutions
 Isbn
 9783764375454
 Other control number
 10.1007/3764375450
 Other physical details
 online resource
 Specific material designation
 remote
 System control number
 (WaSeSS)ssj0000157669
 Label
 The Fourfold Way In Real Analysis : An Alternative to the Metaplectic Representation, by André Unterberger, (electronic resource)
 Contents
 Introduction  The Onedimensional Anaplectic Representation  The ndimensional Anaplectic Analysis  Towards the Anaplectic Symbolic Calculi  The Fourfold Way  Bibliography  Index.
 Control code
 ssj0000157669
 Dimensions
 unknown
 Extent
 1 online resource (X, 220 p.)
 Form of item
 online
 Governing access note
 Access restricted to subscribing institutions
 Isbn
 9783764375454
 Other control number
 10.1007/3764375450
 Other physical details
 online resource
 Specific material designation
 remote
 System control number
 (WaSeSS)ssj0000157669
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bowdoin.edu/portal/TheFourfoldWayInRealAnalysisAn/Ee8B0eev50g/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bowdoin.edu/portal/TheFourfoldWayInRealAnalysisAn/Ee8B0eev50g/">The Fourfold Way In Real Analysis : An Alternative to the Metaplectic Representation, by André Unterberger, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bowdoin.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="https://link.bowdoin.edu/">Bowdoin College Library</a></span></span></span></span></div>