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  • Cited by 118
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    • Publisher:
      Cambridge University Press
      Publication date:
      September 2011
      March 2010
      ISBN:
      9781139107167
      9780521148566
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.54kg, 368 Pages
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  • Selected: Digital
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    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.

    Reviews

    "... 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

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