The Fourfold Way In Real Analysis An Alternative to the Metaplectic Representation /

• Main Author: Unterberger, André (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2006.
• Series: Progress in Mathematics ; 250
• Subjects: Mathematics.; Topological groups.; Lie groups.; Harmonic analysis.; Functional analysis.; Functions of complex variables.; Physics.; Functional Analysis.; Topological Groups, Lie Groups.; Mathematical Methods in Physics.; Functions of a Complex Variable.; Abstract Harmonic Analysis.

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...

Table of Contents:

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