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Pseudodifferential equations over non-Archimedean spaces[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.7242
書名/作者:	Pseudodifferential equations over non-Archimedean spaces/ by W. A. Zuniga-Galindo.
作者:	Zuniga-Galindo, W. A.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xvi, 175 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Pseudodifferential operators.
標題:	Markov processes.
標題:	p-adic analysis.
標題:	Differential equations.
標題:	Mathematics.
標題:	Abstract Harmonic Analysis.
標題:	Functional Analysis.
標題:	Mathematical Applications in the Physical Sciences.
標題:	Number Theory.
標題:	Probability Theory and Stochastic Processes.
標題:	Mathematical Physics.
ISBN:	9783319467382
ISBN:	9783319467375
內容註:	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 Schrodinger Equations -- Pseudodifferential Equations of Klein-Gordon Type.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-46738-2

Pseudodifferential equations over non-Archimedean spaces[electronic resource] /
Zuniga-Galindo, W. A.

Pseudodifferential equations over non-Archimedean spaces[electronic resource] /by W. A. Zuniga-Galindo. - Cham :Springer International Publishing :2016. - xvi, 175 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21740075-8434 ;. - Lecture notes in mathematics ;2035..

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 Schrodinger 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:

484395
Pseudodifferential operators.

LC Class. No.: QA329.7

Dewey Class. No.: 515.7242

Pseudodifferential equations over non-Archimedean spaces[electronic resource] /
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