Extended Stochastic Integral In Linear Spaces With Differentiable Measures And Related Topics, The
Seiten
1996
World Scientific Publishing Co Pte Ltd (Verlag)
9789810225681 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
9789810225681 (ISBN)
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This volume discusses the extended stochastic integral (ESI) (or Skorokhod-Hitsuda Integral) and its relation to the logarithmic derivative of differentiable measure along the vector or operator field. Surface measures in Banach spaces and heat potentials theory in Hilbert space are also discussed.
This volume discusses the extended stochastic integral (ESI) (or Skorokhod-Hitsuda Integral) and its relation to the logarithmic derivative of differentiable measure along the vector or operator field. In addition, the theory of surface measures and the theory of heat potentials in infinite-dimensional spaces are discussed. These theories are closely related to ESI.It starts with an account of classic stochastic analysis in the Wiener spaces; and then discusses in detail the ESI for the Wiener measure including properties of this integral understood as a process. Moreover, the ESI with a nonrandom kernel is investigated.Some chapters are devoted to the definition and the investigation of properties of the ESI for Gaussian and differentiable measures.Surface measures in Banach spaces and heat potentials theory in Hilbert space are also discussed.
This volume discusses the extended stochastic integral (ESI) (or Skorokhod-Hitsuda Integral) and its relation to the logarithmic derivative of differentiable measure along the vector or operator field. In addition, the theory of surface measures and the theory of heat potentials in infinite-dimensional spaces are discussed. These theories are closely related to ESI.It starts with an account of classic stochastic analysis in the Wiener spaces; and then discusses in detail the ESI for the Wiener measure including properties of this integral understood as a process. Moreover, the ESI with a nonrandom kernel is investigated.Some chapters are devoted to the definition and the investigation of properties of the ESI for Gaussian and differentiable measures.Surface measures in Banach spaces and heat potentials theory in Hilbert space are also discussed.
Stochastic calculus in Weiner space; extended stochastic integral in Weiner space; randomized extended stochastic integrals with jumps; introduction to the theory of differentiable measures; extended vector stochastic integral in Sobolev spaces of Weiner functionals; stochastic integrals and differentiable meaures; differential properties of mixtures of Gaussian measures; surface measures in Banach space; heat potentials on Hilbert space.
| Erscheint lt. Verlag | 1.8.1996 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| ISBN-13 | 9789810225681 / 9789810225681 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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