Theory of p-adic Distributions: Linear and Nonlinear Models: 370

Theory of p-adic Distributions: Linear and Nonlinear Models: 370 book cover

Theory of p-adic Distributions: Linear and Nonlinear Models: 370

Author(s): S. Albeverio (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 13 Sept. 2011
  • Edition: Illustrated
  • Language: English
  • Print length: 368 pages
  • ISBN-10: 0521148561
  • ISBN-13: 9780521148566

Book Description

This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory, the theory of strings, quantum gravity and cosmology, and solid state physics. The authors include many new results, some of which constitute new areas in p-adic analysis related to the theory of distributions, such as wavelet theory, the theory of pseudo-differential operators and equations, asymptotic methods, and harmonic analysis. Any researcher working with applications of p-adic analysis will find much of interest in this book. Its extended introduction and self-contained presentation also make it accessible to graduate students approaching the theory for the first time.

Editorial Reviews

Review

“… constitutes a relevant contribution to the study of wavelets and multiresolution analysis, as well as to the study of linear and semilinear evolution equations via wavelets, in a p-adic setting.” W.A. Zuniga Galindo, Mathematical Reviews

Book Description

A wide-ranging 2010 survey of new and important topics in p-adic analysis for researchers and graduate students.

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