p-Adic Analysis

Stochastic Processes and Pseudo-Differential Equations
1. Auflage 2024
ISBN: 978-3-11-157833-0
Verlag: De Gruyter

Buch, Englisch, 150 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 405 g

Reihe: Advances in analysis and geometry

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.

Autoren/Hrsg.

Zúñiga-Galindo, W. A.

Zu´n~iga-Galindo, W. A.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Naturwissenschaften Physik Quantenphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Naturwissenschaften Physik Mechanik Akustik, Schwingungsanalyse

Über Autor(innen)

W. A. Zuniga-Galindo obtained his doctorate in mathematics at the Instituto de Matematica Pura E Aplicada (IMPA), Brazil. Currently, he holds the Lokenath Debnath Endowed Professorship at the University of Texas Rio Grande Valley. He is also a regular Colombian and Mexican Academy of Sciences member. He has published about 80 research articles and two books. His research activities revolve around the interplay between theoretical physics and non-Archimedean mathematics.