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Boundary Value Problems and Markov P...
~
Taira, Kazuaki.
Boundary Value Problems and Markov Processes = Functional Analysis Methods for Markov Processes /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Boundary Value Problems and Markov Processes/ by Kazuaki Taira.
Reminder of title:
Functional Analysis Methods for Markov Processes /
Author:
Taira, Kazuaki.
Description:
XVII, 502 p. 150 illus.online resource. :
Contained By:
Springer Nature eBook
Subject:
Operator Theory. -
Online resource:
https://doi.org/10.1007/978-3-030-48788-1
ISBN:
9783030487881
Boundary Value Problems and Markov Processes = Functional Analysis Methods for Markov Processes /
Taira, Kazuaki.
Boundary Value Problems and Markov Processes
Functional Analysis Methods for Markov Processes /[electronic resource] :by Kazuaki Taira. - 3rd ed. 2020. - XVII, 502 p. 150 illus.online resource. - Lecture Notes in Mathematics,14990075-8434 ;. - Lecture Notes in Mathematics,2144.
This 3rd edition provides an insight into the mathematical crossroads formed by functional analysis (the macroscopic approach), partial differential equations (the mesoscopic approach) and probability (the microscopic approach) via the mathematics needed for the hard parts of Markov processes. It brings these three fields of analysis together, providing a comprehensive study of Markov processes from a broad perspective. The material is carefully and effectively explained, resulting in a surprisingly readable account of the subject. The main focus is on a powerful method for future research in elliptic boundary value problems and Markov processes via semigroups, the Boutet de Monvel calculus. A broad spectrum of readers will easily appreciate the stochastic intuition that this edition conveys. In fact, the book will provide a solid foundation for both researchers and graduate students in pure and applied mathematics interested in functional analysis, partial differential equations, Markov processes and the theory of pseudo-differential operators, a modern version of the classical potential theory. .
ISBN: 9783030487881
Standard No.: 10.1007/978-3-030-48788-1doiSubjects--Topical Terms:
672127
Operator Theory.
LC Class. No.: QA273.A1-274.9
Dewey Class. No.: 519.2
Boundary Value Problems and Markov Processes = Functional Analysis Methods for Markov Processes /
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This 3rd edition provides an insight into the mathematical crossroads formed by functional analysis (the macroscopic approach), partial differential equations (the mesoscopic approach) and probability (the microscopic approach) via the mathematics needed for the hard parts of Markov processes. It brings these three fields of analysis together, providing a comprehensive study of Markov processes from a broad perspective. The material is carefully and effectively explained, resulting in a surprisingly readable account of the subject. The main focus is on a powerful method for future research in elliptic boundary value problems and Markov processes via semigroups, the Boutet de Monvel calculus. A broad spectrum of readers will easily appreciate the stochastic intuition that this edition conveys. In fact, the book will provide a solid foundation for both researchers and graduate students in pure and applied mathematics interested in functional analysis, partial differential equations, Markov processes and the theory of pseudo-differential operators, a modern version of the classical potential theory. .
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