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Stochastic Equations and Differential Geometry de Ya.I. Belopolskaya

Stochastic Equations and Differential Geometry: Mathematics and its Applications, cartea 30

Autor Ya.I. Belopolskaya, Yu.L. Dalecky
en Limba Engleză Paperback – 23 aug 2014

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Specificații

ISBN-13: 9789401074933
ISBN-10: 9401074933
Pagini: 280
Ilustrații: XVI, 260 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.4 kg
Ediția:Softcover reprint of the original 1st ed. 1990
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Mathematics and its Applications

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

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.