Functional Analytic Techniques for Diffusion Processes
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 can appreciate easily and effectively the stochastic intuition that this book conveys. Furthermore, the book will serve as a sound basis both for researchers and for graduate students in pure and applied mathematics who are interested in a modern version of the classical potential theory and Markov processes.
For advanced undergraduates working in functional analysis, partial differential equations, and probability, it provides an effective opening to these three interrelated fields of analysis. Beginning graduate students and mathematicians in the field looking for a coherent overview will find the book to be a helpful beginning.
This work will be a major influence in a very broad field of study for a long time.
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| Veröffentlichung: | 28.05.2022 |
| Seiten | 782 |
| Art des Mediums | E-Book [Kindle] |
| Preis DE | EUR 149.79 |
| Reihe | Springer Monographs in Mathematics |
| ISBN-13 | 978-9-811-91099-9 |
Über den Autor
Dr. TAIRA, Kazuaki, born in Tokyo, Japan, on January 1, 1946, was a professor of mathematics at the University of Tsukuba, Japan (1998–2009). He received his Bachelor of Science degree in 1969 from the University of Tokyo, Japan, and his Master of Science degree in 1972 from Tokyo Institute of Technology, Japan, where he served as an assistant from 1972 to 1978. The Doctor of Science degree was awarded to him on June 21, 1976, by the University of Tokyo, and on June 13, 1978, the Doctorat d'Etat degree was given to him by Universit\'{e} de Paris-Sud (Orsay), France. He had been studying there on the French government scholarship from 1976 to 1978.
Dr. TAIRA was also a member of the Institute for Advanced Study (Princeton), USA (1980–1981), was an associate professor at the University of Tsukuba (1981–1995), and a professor at Hiroshima University, Japan (1995–1998). In 1998, he accepted the offer from the University of Tsukuba to teach there again as a professor. He was a part-time professor at Waseda University (Tokyo), Japan, from 2009 to 2017.
His current research interests are in the study of three interrelated subjects in analysis: semigroups, elliptic boundary value problems, and Markov processes.
