Non-Fiction Books:

Theory of p-adic Distributions

Linear and Nonlinear Models

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Theory of p-adic Distributions by Sergio Albeverio
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Description

This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory, the theory of strings, quantum gravity and cosmology, and solid state physics. The authors include many new results, some of which constitute new areas in p-adic analysis related to the theory of distributions, such as wavelet theory, the theory of pseudo-differential operators and equations, asymptotic methods, and harmonic analysis. Any researcher working with applications of p-adic analysis will find much of interest in this book. Its extended introduction and self-contained presentation also make it accessible to graduate students approaching the theory for the first time.

Author Biography

S. Albeverio is Professor in the Faculty of Mathematics and Natural Sciences at the University of Bonn, Germany. A. Yu. Khrennikov is Professor of Applied Mathematics and Director of the International Center for Mathematical Modeling in Physics, Engineering and Cognitive Sciences at Vaxjoe University, Sweden. V. M. Shelkovich is Professor in the Mathematical Department at the St Petersburg State University of Architecture and Civil Engineering, Russia.
Release date Australia
March 18th, 2010
Country of Publication
United Kingdom
Imprint
Cambridge University Press
Pages
368
Dimensions
152x228x21
ISBN-13
9780521148566
Product ID
3844297

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