Functional Analysis and Probability

Mark Burgin (Editor)
UCLA, California, USA

Series: Mathematics Research Developments
BISAC: MAT037000

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$280.00

Volume 10

Issue 1

Volume 2

Volume 3

Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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Details

The following topics are presented in the corresponding parts of this book:

1. Measure and Integration
2. Equations and Inequalities
3. Operators
4. Probability
5. Applications
(Imprint: Nova)

Preface

MEASURE AND INTEGRATION

Chapter 1 - Operations with Extrafunctions and Integration in Bundles with a Hyperspace Base
(Burgin, M.)

Chapter 2 - Orthogonally Scattered Measures and Weak Radon-Nikodym Derivatives
(Yûichirô Kakihara)

Chapter 3 - Hyperintegration in Function Spaces
(Burgin, M.)

Chapter 4 - Directions and Methods in Integration
(Burgin, M.)

EQUATIONS AND INEQUALITIES

Chapter 5 - Soliton Solutions for Nonlinear Evolution Equations by Using Inverse Scattering Method
(Gharib, G.M.)

Chapter 6 - Properties of q-Integral Inequalities
(Sulaiman, W. T.)

Chapter 7 - Hyperintegral Inequalities
(Burgin, M.)

Chapter 8 - Generalized Equations for Numerical Integration over Two Dimensional Domains Using Quadrature Rules
(Logah Perumal and DawThet Mon)

OPERATORS

Chapter 9 - Watson Transform for Boehmians
(Roopkumar, R.)

Chapter 10 - Double Commutants of Multiplication Operators on C(K)
(Kitover, A.K.)

Chapter 11 - Curvelet Transform on Tempered Boehmians
(R. Subash Moorthy and R. Roopkumar)

PROBABILITY

Chapter 12 - Hyperexpectation in Axiomatic and Constructive Settings
(Burgin, M. and Krinik, A.C.)

Chapter 13 - On the Effectiveness of Mixed Model Based Logistic Regression Classifiers for Longitudinal Data
(Daniel R. Jeske, Jun Li, and Vance Wong)

Chapter 14 - Picturesque Diversity of Probability
(Burgin, M.)

APPLICATIONS

Chapter 15 - In Defense of the Much Maligned Classical Formula for the Transient Solution of the Single Server Queue
(Barbara Margolius)

Chapter 16 - The Information Path Functional Approach to Solution of a Controllable Stochastic Problem
(Lerner, V.S.)

Chapter 17 - Real-Time Inverse Modeling of Control Systems in Hypernumbers
(Mark Burgin and Arkadiy Dantsker)

Index

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