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" Ultrametric pseudodifferential equations and applications / "
Andrei Yu. Khrennikov, Linnéuniversitetet, Sweden ; Sergei V. Kozyrev, Steklov Institute of Mathematics, Moscow ; W.A. Zúñiga-Galindo, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico.
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BL
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| Record Number
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839200
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| Main Entry
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Khrennikov, A. I︠U︡., (Andreĭ I︠U︡rʹevich),1958-
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| Title & Author
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Ultrametric pseudodifferential equations and applications /\ Andrei Yu. Khrennikov, Linnéuniversitetet, Sweden ; Sergei V. Kozyrev, Steklov Institute of Mathematics, Moscow ; W.A. Zúñiga-Galindo, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico.
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| Publication Statement
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Cambridge, United Kingdom :: Cambridge University Press,, 2018.
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, ©2018
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| Series Statement
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Encyclopedia of mathematics and its applications ;; v. 168
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1 online resource (xv, 237 pages) :: illustrations
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| ISBN
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1108102905
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: 1316986705
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: 9781108102902
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: 9781316986707
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1107188822
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9781107188822
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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p-Adic analysis: essential ideas and results -- Ultrametric geometry: cluster networks and buildings -- p-Adic wavelets -- Ultrametricity in the theory of complex systems -- Some applications of wavelets and integral operators -- p-Adic and ultrametric models in geophysics -- Recent development of the theory of p-Adic dynamical systems -- Parabolic-type equations, Markov processes, and models of complex hierarchical systems -- Stochastic heat equation driven by Gaussian noise -- Sobolev-type spaces and pseudodifferential operators -- Non-archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields -- Heat traces and spectral zeta functions for p-Adic laplacians.
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| Abstract
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Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.
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| Subject
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Equations.
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| Subject
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Equations.
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MATHEMATICS-- Algebra-- Intermediate.
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| Dewey Classification
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512.94
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| LC Classification
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QA211
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| Added Entry
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Kozyrev, Sergei V.
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Zúñiga-Galindo, W. A.
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