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Brownian motion and index formulas for the de Rham complex by Kazuaki Taira 1998
Brownian motion and index formulas for the de Rham complex by Kazuaki Taira 1998
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Brownian motion and index formulas for the de Rham complex, by Kazuaki Taira.
Publisher:
Berlin ; Weinheim ; New York : Wiley-VCH, ©1998.
Berlin ; Weinheim ; New York : Wiley-VCH, ©1998.
Summary:
This text is a reference
which aims to provide a link between partial differential equations
(pde), stochastic analysis, and index theory. It covers a variety of
facts from differential geometry, functional analysis, pseudodifferential operators, and Markov processes.
Description: | 215 p. : illustrations ; 8vo. |
---|---|
Contents: | Elements of differential geometry, of functional analysis, of Markov processes, and of partial differential equations; index formulas for the de Rham complex; the Hodge-Kodaira decomposition theorem; the exterior derivative and the codifferential operator; the operator D; the long exact sequence and the operator D; proof of the main theorem. |
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