ENGLISH

Theory of p-adic Distributions: Linear and Nonlinear Models

By S. Albeverio , A. Yu Khrennikov , V. M. Shelkovich

Book information

Publisher
Cambridge University Press
Year
2010
ISBN
0521148561, 9780521148566
Language
english
Format
PDF
Filesize
2 MB (2090360 bytes)
Series
London Mathematical Society Lecture Note Series
Edition
1
Pages
370\370
Scanned
yes
Time added
2012-03-10 16:00:00
Математика;Математическая физика

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.

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