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Titlebook: Boundary Value Problems and Markov Processes; Functional Analysis Kazuaki Taira Book 2020Latest edition Springer Nature Switzerland AG 202

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Book 2020Latest editionin 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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0075-8434 cipal ideas explicitly so that a broad spectrum of readers c.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 mat
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https://doi.org/10.1007/978-1-4419-7418-1tence and smoothness of solutions of partial differential equations. The theory of pseudo-differential operators continues to be one of the most influential works in modern history of analysis, and is a very refined mathematical tool whose full power is yet to be exploited.
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https://doi.org/10.1007/978-3-031-32935-74). This is a technique of treating a spectral parameter . as a second-order, elliptic differential operator of an extra variable and relating the old problem to a new problem with the additional variable.
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