Advances in analysis : problems of integration
著者
書誌事項
Advances in analysis : problems of integration
（Mathematics research developments series）
Nova, c2012
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
In mathematics, the term integration is one of the most important concepts and has an exact and rather restricted. This book examines the development of integration as a mathematical field, as well as mathematical models in different areas that involve integration.
目次
- Preface
- Introduction: Integration as a basic operation
- Stochastic transfer principle for multiple integrals with respect to Gaussian random fields with applications
- Infinite-dimensional Integration, Feynman Integral, & Hyperintegration
- Simple formulas for conditional function space integrals & applications
- Functional Derivatives, Schrodinger Equations, & Feynman Integral
- Path Integrals for Gaussian Process
- Lower Bounds for Jung Constants of Orlicz Function Spaces
- Constructive Representation Theory for the Feynman operator calculus on Banach spaces
- Feynman's operational calculi: Auxiliary Operations & Related Disentangling Formulas
- Feynman's Operational Calculi: Auxiliary Operations & Related Disentangling Formulas
- An Integral Equation for Feynman's Operational Calcului
- Finite Difference Approximation of Quantum Mechanical Wave Packets
- Functional Integration for Quantum Field Theory
- Viscosity solutions, backward stochastic differential equations & Markov processes
- A Fredholm-type theorem for linear integral equations of Stieltjes type
- The refinement integral: with applications to information theory & statistics
- On Generalized Product
- Saks-Heinstok Lemma
- A generalized Black-Scholes equation without Ito calculus
- Index.
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