Pseudodifferential Equations Over Non-Archimedean Spaces

• Main Author: Zúñiga-Galindo, W. A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Mathematics, 2174
• Subjects: Mathematics.; Harmonic analysis.; Functional analysis.; Mathematical physics.; Number theory.; Probabilities.; Abstract Harmonic Analysis.; Functional Analysis.; Mathematical Applications in the Physical Sciences.; Number Theory.; Probability Theory and Stochastic Processes.; Mathematical Physics.

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 fundamenta...

Table of Contents:

• 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.