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Pseudo-Differential Operators

The Weyl Operator and its Generalization

Authors: Cohen, Leon

  • Numerous examples are worked, out illustrating each result
  • The applications to various fields are discussed in elementary fashion
  • The methods are extended to operators other than the standard ones
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About this book

The discovery of quantum mechanics in the years 1925-1930 necessitated the consideration of associating ordinary functions with non-commuting operators. Methods were proposed by Born/Jordan, Kirkwood, and Weyl. Sometime later, Moyal saw the connection between the Weyl rule and the Wigner distribution, which had been proposed by Wigner in 1932 as a way of doing quantum statistical mechanics. The basic idea of associating functions with operators has since been generalized and developed to a high degree. It has found several application fields, including quantum mechanics, pseudo-differential operators, time-frequency analysis, quantum optics, wave propagation, differential equations, image processing, radar, and sonar.

This book aims at bringing together the results from the above mentioned fields in a unified manner and showing the reader how the methods have been applied. A wide audience is addressed, particularly students and researchers who want to obtain an up-to-date working knowledge of the field. The mathematics is accessible to the uninitiated reader and is presented in a straightforward manner.

Table of contents (15 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0294-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-3-0348-0293-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The Weyl Operator and its Generalization
Authors
Series Title
Pseudo-Differential Operators
Series Volume
9
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0294-9
DOI
10.1007/978-3-0348-0294-9
Softcover ISBN
978-3-0348-0293-2
Series ISSN
2297-0355
Edition Number
1
Number of Pages
XII, 159
Topics