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Pseudodifferential Equations Over Non-Archimedean Spaces

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Pseudodifferential Equations Over Non-Archimedean Spaces/ by W. A. Zúñiga-Galindo.
Author:	Zúñiga-Galindo, W. A.
Description:	XVI, 175 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Harmonic analysis. -
Online resource:	https://doi.org/10.1007/978-3-319-46738-2
ISBN:	9783319467382

Pseudodifferential Equations Over Non-Archimedean Spaces
Zúñiga-Galindo, W. A.

Pseudodifferential Equations Over Non-Archimedean Spaces[electronic resource] /by W. A. Zúñiga-Galindo. - 1st ed. 2016. - XVI, 175 p. 1 illus.online resource. - Lecture Notes in Mathematics,21740075-8434 ;. - Lecture Notes in Mathematics,2144.

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.

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.

ISBN: 9783319467382

Standard No.: 10.1007/978-3-319-46738-2doiSubjects--Topical Terms:

672073
Harmonic analysis.

LC Class. No.: QA403-403.3

Dewey Class. No.: 515.785

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