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Ultrametric pseudodifferential equations and applications

Author: A I︠U︡ Khrennikov; Sergey Kozyrev; W A Zúñiga-Galindo
Publisher: Cambridge, United Kingdom ; New York, NY, USA : Cambridge University Press, 2018. ©2018
Series: Encyclopedia of mathematics and its applications, v. 168.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.
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Additional Physical Format: Online version:
Khrennikov, A. I︠U︡. (Andreĭ I︠U︡rʹevich), 1958-
Ultrametric pseudodifferential equations and applications.
Cambridge, United Kingdom : Cambridge University Press, 2018
(OCoLC)1032611947
Document Type: Book
All Authors / Contributors: A I︠U︡ Khrennikov; Sergey Kozyrev; W A Zúñiga-Galindo
ISBN: 1107188822 9781107188822
OCLC Number: 1005187910
Description: xv, 237 pages : illustrations ; 25 cm
Contents: 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.
Series Title: Encyclopedia of mathematics and its applications, v. 168.
Responsibility: Andrei Yu. Khrennikov, Sergei V. Kozyrev, W.A. Zúñiga-Galindo.

Abstract:

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  Read more...

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'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 Read more...

 
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