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Ultrametric Pseudodifferential Equations and Applications

Andrei Yu Khrennikov author W A Zúñiga-Galindo author Sergei V Kozyrev author

Format:Hardback

Publisher:Cambridge University Press

Published:26th Apr '18

Currently unavailable, and unfortunately no date known when it will be back

Ultrametric Pseudodifferential Equations and Applications cover

Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.

Presents the state of the art of ultrametric pseudodifferential equations, relevant not only in mathematics but also in fields such as engineering, geophysics, and physics. Results previously scattered across many diverse journals are usefully consolidated here alongside novel ideas and applications.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.

'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, Mathematical Reviews
'[As a whole] … the book o ffers … extremely rich material, providing a complete view on the recent [research] in p-adic analysis.' Luigi Rodino, zbMATH

ISBN: 9781107188822

Dimensions: 241mm x 160mm x 17mm

Weight: 510g

250 pages