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＜電子ブック＞
Theory of p-adic Distributions : Linear and Nonlinear Models / S. Albeverio, A. Yu Khrennikov, V. M. Shelkovich
(London Mathematical Society Lecture Note Series ; 370)

出版者	Cambridge : Cambridge University Press
出版年	2010
大きさ	1 online resource (368 pages) : digital, PDF file(s)
著者標目	*Albeverio, S. author Khrennikov, A. Yu author Shelkovich, V. M. author
件　名	LCSH:p-adic numbers LCSH:p-adic analysis LCSH:Distribution (Probability theory)
一般注記	Title from publisher's bibliographic system (viewed on 14 Nov 2016) 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 HTTP:URL=http://dx.doi.org/10.1017/CBO9781139107167

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