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  3. Ultrametric Pseudodifferential Equations and Applications
  • Cited by 55
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    • Publisher:
      Cambridge University Press
      Publication date:
      May 2018
      April 2018
      ISBN:
      9781316986707
      9781107188822
      DOI:
      https://doi.org/10.1017/9781316986707
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.51kg, 250 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Number Theory
      Series:
      Encyclopedia of Mathematics and its Applications (168)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Number Theory
    Series:
    Encyclopedia of Mathematics and its Applications (168)
    Information

    Book description

    Starting from physical motivations and leading to practical applications, this book provides an interdisciplinary perspective on the cutting edge of ultrametric pseudodifferential equations. It shows the ways in which these equations link different fields including mathematics, engineering, and geophysics. In particular, the authors provide a detailed explanation of the geophysical applications of p-adic diffusion equations, useful when modeling the flows of liquids through porous rock. p-adic wavelets theory and p-adic pseudodifferential equations are also presented, along with their connections to mathematical physics, representation theory, the physics of disordered systems, probability, number theory, and p-adic dynamical systems. Material that was previously spread across many articles in journals of many different fields is brought together here, including recent work on the van der Put series technique. This book provides an excellent snapshot of the fascinating field of ultrametric pseudodifferential equations, including their emerging applications and currently unsolved problems.

    Reviews

    'The book demonstrates a wealth of interesting recently emerging subjects within a relatively small volume. It will be useful both for specialists and students studying non-Archimedean analysis and its applications.'

    Anatoly N. Kochubei Source: Mathematical Reviews

    '[As a whole] … the book offers … extremely rich material, providing a complete view on the recent [research] in p-adic analysis.'

    Luigi Rodino Source: zbMATH

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