p-Adic Analysis - Stochastic Processes and Pseudo-Differential Equations

This book is intended to provide a fast, interdisciplinary introduction to the basic results of p-adic analysis and its connections with mathematical physics and applications. The book revolves around three topics: (1) p-adic heat equations and ultradiffusion; (2) fundamental solutions and local zeta functions, Riesz kernels, and quadratic forms; (3) Sobolev-type spaces and pseudo-differential evolution equations. These topics are deeply connected with very relevant current research areas. The book includes numerous examples, exercises, and snapshots of several mathematical theories. This book arose from the need to quickly introduce mathematical audience the basic concepts and techniques to do research in p-adic analysis and its connections with mathematical physics and other areas. The book is addressed to a general mathematical audience, which includes computer scientists, theoretical physicists, and people interested in mathematical analysis, PDEs, etc.

Product details

• Authors: W. A. Zúñiga-Galindo
• Publisher: De Gruyter
• Languages: English
• Product format: Hardback
• Released: 01.01.2024
• EAN: 9783111578330
• ISBN: 978-3-11-157833-0
• No. of pages: 150
• Weight: 405 g
• Series: Advances in Analysis and Geometry
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Quantenphysik (Quantenmechanik und Quantenfeldtheorie), Mathematische Physik, Differentialrechnung und -gleichungen, Quantum physics (quantum mechanics & quantum field theory), Mathematical physics, Differential calculus & equations, Stochastics, Calculus & mathematical analysis, Algebraic Topology, SCI057000 SCIENCE / Physics / Quantum Theory, SCI040000 SCIENCE / Physics / Mathematical & Computational, MAT007000 MATHEMATICS / Differential Equations / General, SCI067000 SCIENCE / Waves & Wave Mechanics, MAT008000 MATHEMATICS / Discrete Mathematics, Local Zeta Functions, MAT007020 MATHEMATICS / Differential Equations / Partial, Pseudo-Differential Operators, Fundamental Solutions, p-Adic Aanalysis, Stochastic Processes on Ultrametric Spaces