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Lecture Notes in Mathematics

Alternative Pseudodifferential Analysis

With an Application to Modular Forms

Authors: Unterberger, André

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About this book

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.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-3-540-77911-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA in USD
  • ISBN 978-3-540-77910-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Alternative Pseudodifferential Analysis
Book Subtitle
With an Application to Modular Forms
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1935
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-77911-7
DOI
10.1007/978-3-540-77911-7
Softcover ISBN
978-3-540-77910-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
IX, 118
Topics