Alternative Pseudodifferential Analysis With an Application to Modular Forms /

• Main Author: Unterberger, André (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2008.
• Series: Lecture Notes in Mathematics, 1935
• Subjects: Mathematics.; Topological groups.; Lie groups.; Fourier analysis.; Partial differential equations.; Number theory.; Partial Differential Equations.; Topological Groups, Lie Groups.; Fourier Analysis.; Number Theory.

This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modu...

Table of Contents:

• Preface
• Introduction
• The Metaplectic and Anaplectic Representations
• The One-dimensional Alternative Pseudodifferential Analysis
• From Anaplectic Analysis to Usual Analysis
• Pseudodifferential Analysis and Modular Forms
• Index
• Bibliography.