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Catalogue Information
Field name	Details
Dewey Class	515.785
Title	Pseudodifferential Equations Over Non-Archimedean Spaces ([EBook]) / by W. A. Zúñiga-Galindo.
Author	Zúñiga-Galindo, W. A.
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details	XVI, 175 p. 1 illus. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 2174
ISBN	9783319467382
Summary Note	Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular equations are studied, such as the p-adic analogues of the Klein-Gordon equation. Pseudodifferential equations for complex-valued functions on non-Archimedean local fields are central to contemporary harmonic analysis and mathematical physics and their theory reveals a deep connection with probability and number theory. The results of this book extend and complement the material presented by Vladimirov, Volovich and Zelenov (1994) and Kochubei (2001), which emphasize spectral theory and evolution equations in a single variable, and Albeverio, Khrennikov and Shelkovich (2010), which deals mainly with the theory and applications of p-adic wavelets.:
Contents note	p-Adic Analysis: Essential Ideas and Results -- Parabolic-type Equations and Markov Processes -- Non-Archimedean Parabolic-type Equations With Variable Coefficients -- Parabolic-Type Equations on Adeles -- Fundamental Solutions and Schrödinger Equations -- Pseudodifferential Equations of Klein-Gordon Type.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-46738-2
Links to Related Works	Subject References: Abstract Harmonic Analysis . Functional Analysis . Harmonic analysis . Mathematical Applications in the Physical Sciences . Mathematical Physics . Mathematics . Number Theory . Probabilities . Probability theory and stochastic processes . Authors: Zúñiga-Galindo, W. A. . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.785 .

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Pseudodifferential Equations Over Non-Archimedean Spaces

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