Advances in Analysis: Problems of Integration

$210.00

Mark Burgin (Editor)
UCLA, California, USA

Series: Mathematics Research Developments
BISAC: MAT027000

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. (Imprint: Nova)

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Table of Contents

Preface

Introduction: Integration as a basic operation
(Mark Burgin, Dept. of Mathematics, University of California, Los Angeles, USA:pp.1-14

INTEGRATION IN FUNCTION SPACES AND THE FEYNMAN INTEGRAL pp.15-16

Stochastic transfer principle for multiple integrals with respect to Gaussian random fields with applications
(Anna Amirdjanova, Dept. of Statistics, University of Michigan, Ann Arbor, USA);pp.17-24

Infinite-dimensional Integration, Feynman Integral, and Hyperintegration
(Mark Burgin, University of California, Los Angeles, USA);pp.25-70

Simple formulas for conditional function space integrals and applications
(Seung Jun Chang, Jae Gil Choi and David Skoug,Dept. of Mathematics, Dankook University, Cheonan, Korea and others)pp.71-92

Functional Derivatives, Schrodinger Equations, and Feynman Integral
(Alexander Dynin, Dept. of Mathematics, Ohio State University, Columbus, USA)pp.93-108

Path Integrals for Gaussian Process
(Naoto Kumano-go,Mathematics, Kogakuin University, Tokyo, Japan)pp.109-134

Lower Bounds for Jung Constants of Orlicz Function Spaces
(Z.D.Ren, University of California, Riverside, UDA)pp.135-148

FEYNMAN OPERATIONAL CALCULUS pp.149-150

Constructive Representation Theory for the Feynman operator calculus on Banach spaces
(T.L. Gill and W.W. Zachary,Howard University, Washington DC, USA)pp.151-222

Feynman’s operational calculus with Brownian Time-Ordering
(Brian Jeefferies, The University of South Wales, Australia) pp.223-242

Feynman’s Operational Calculi: Auxiliary Operations and Related Disentangling Formulas
(Gerald W. Johnson and Michel L. LapidusUniversity of Nebraska-Lincoln, USA)pp.243-262

An Integral Equation for Feynman’s Operational Calcului
(Lance Nielsen, Creighton University, Omaha, Nebraska, USA) pp.263-280

INTEGRATION IN MATHEMATICAL PHYSICS pp.281-282

Finite Difference Approximation of Quantum Mechanical Wave Packets
(Katherine A. Kime, University of Nebraska at Kearney, USA) pp.283-306

Functional Integration for Quantum Field Theory
(LaChapelle) pp.307-328

Viscosity solutions, backward stochastic differential equations and Markov processes
(J. Van Casteren, University of Antwerp, Belgium) pp.329-376

GENERAL PROBLEMS OF INTEGRATION pp.377-378

A Fredholm-type theorem for linear integral equations of Stieltjes type
(M.Federson and R.Bianconi,Universidade de Sao Paulo, Brazil)pp.379-412

The refinement integral: with applications to information theory and statistics
(Isidore Fleischer,University of Montreal, Quebec, Canada) pp.413-420

On Generalized Product
(V.Karunakaran and R. Roopkumar,Madurai Kamaraj University ) pp.421-430

A Criterion for the Saks-Heinstok Lemma in a Locally Convex Space
(Toshihary Kawasaki,Tokyo University of Information Sciences, Japan) pp.431-436

A generalized Black-Scholes equation without Ito calculus
(Pat Muldowney,Magee College, University of Ulster, N. Ireland) pp.437-440

Index pp.441-446

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