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Field name	Details
Dewey Class	519.2
Title	Stochastic Equations and Differential Geometry ([EBook]) / by Ya. I. Belopolskaya, Yu. L. Dalecky.
Author	Belopolskaya, Ya. I. , 1943-
Added Personal Name	Dalecky, Yu. L.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer, Netherlands , 1990.
Physical Details	XVI, 260 pages : online resource.
Series	Mathematics and its applications. Soviet series 0169-6378 ; ; 30
ISBN	9789400922150
Contents note	1. Functions and Measures in Linear Spaces -- 1. Spaces, Mappings, Differential Operations -- 2. Measures and Integrals -- 3. Measure Differentiation -- 2. Functions and Measures on Smooth Manifolds -- 1. Smooth Manifolds and Vector Bundles -- 2. Bundle Section, Connections, Differential Operations -- 3. Hilbert and Hilbert-Schmidt Bundles -- 4. Measures on Smooth Manifolds -- 3. Stochastic Equations in Banach Spaces -- 1. Basic Notions -- 2. Stochastic Integrals for Vector and Operator Functions -- 3. Stochastic Equations -- 4. Multiplicative Functionals of Stochastic Processes -- 5. Stochastic Flow -- 4. Stochastic Equations on Smooth Manifolds -- 1. Stochastic Differentials -- 2. Stochastic Differential Equations on Manifolds -- 3. Stochastic Equations in Vector Bundles -- 5. Kolmogorov Equations -- 1. Backward Kolmogorov Equations -- 2. Quasilinear Parabolic Equations -- 3. Forward Kolmogorov Equations -- 6. Diffusion Processes on Lie Groups and Principal Fibre Bundles -- 1. Lie Groups and Smooth Bundles -- 2. Invariant Stochastic Equations -- 3. Stochastic Equations on Manifolds and their Solution Distribution Properties -- Historical Comments -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-009-2215-0
Links to Related Works	Subject References: Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds (Mathematics) . Partial differential equations . Probabilities . Probability theory and stochastic processes . Theoretical, Mathematical and Computational Physics . Authors: author . Belopolskaya, Ya. I. 1943- . Belopolskaya, Ya. I., 1943- . Dalecky, Yu. L. . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications. Soviet series . Classification: 519.2 .

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Stochastic Equations and Differential Geometry

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