Alternative Pseudodifferential Analysis

With an Application to Modular Forms

By:

Andre Unterberger

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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Description

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 modular forms of the holomorphic and substitute for the usual Moyal-type brackets. This pseudodifferential analysis relies on the one-dimensional case of the recently introduced anaplectic representation and analysis, a competitor of the metaplectic representation and usual analysis. Besides researchers and graduate students interested in pseudodifferential analysis and in modular forms, the book may also appeal to analysts and physicists, for its concepts making possible the transformation of creation-annihilation operators into automorphisms, simultaneously changing the usual scalar product into an indefinite but still non-degenerate one.

Release date NZ

September 3rd, 2008

Author

Andre Unterberger

Audiences

Postgraduate, Research & Scholarly
Undergraduate

Illustrations

IX, 118 p.

Pages

118

Series

Lecture Notes in Mathematics

Dimensions

156x234x7

ISBN-13

9783540779100

Product ID

3816666

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