Stochastic Equations and Differential Geometry by Ya.I. Belopolskaya, Yu.L. Dalecky.

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Bibliographic Details
Main Authors: Belopolskaya, Ya.I (Author), Dalecky, Yu.L (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1990.
Edition:1st ed. 1990.
Series:Mathematics and its Applications, Soviet Series, 30
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.

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505 0 |a 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. 
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