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Titlebook: Functional Analytic Techniques for Diffusion Processes; Kazuaki Taira Book 2022 The Editor(s) (if applicable) and The Author(s), under exc

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书目名称Functional Analytic Techniques for Diffusion Processes
编辑Kazuaki Taira
视频video
概述Guides readers to a mathematical crossroads in analysis.Provides powerful techniques of functional analysis (macroscopic approach) for the study of diffusion processes.Furnishes a profound stochastic
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Functional Analytic Techniques for Diffusion Processes;  Kazuaki Taira Book 2022 The Editor(s) (if applicable) and The Author(s), under exc
描述This book is an easy-to-read reference providing a link between functional analysis and diffusion processes. More precisely, the book takes readers to a mathematical crossroads of functional analysis (macroscopic approach), partial differential equations (mesoscopic approach), and probability (microscopic approach) via the mathematics needed for the hard parts of diffusion processes. This work brings these three fields of analysis together and provides a profound stochastic insight (microscopic approach) into the study of elliptic boundary value problems..The author does a massive study of diffusion processes from a broad perspective and explains mathematical matters in a more easily readable way than one usually would find. The book is amply illustrated; 14 tables and 141 figures are provided with appropriate captions in such a fashion that readers can easily understand powerful techniques of functional analysis for the study of diffusion processes in probability..The scope of the author’s work has been and continues to be powerful methods of functional analysis for future research of elliptic boundary value problems and Markov processes via semigroups. A broad spectrum of readers
出版日期Book 2022
关键词Diffusion process; Markov process; Feller semigroup; Elliptic boundary value problem; Pseudo-differentia
版次1
doihttps://doi.org/10.1007/978-981-19-1099-9
isbn_softcover978-981-19-1101-9
isbn_ebook978-981-19-1099-9Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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