eBook - ePub

Fractional Integrals, Potentials, and Radon Transforms

Name: Fractional Integrals, Potentials, and Radon Transforms
Author: Boris Rubin

Boris Rubin,

576 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Fractional Integrals, Potentials, and Radon Transforms

Boris Rubin,

About this book

Fractional Integrals, Potentials, and Radon Transforms, Second Edition presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. In this thoroughly revised new edition, the book aims to explore how fractional integrals occur in the study of diverse Radon type transforms in integral geometry.

Beyond some basic properties of fractional integrals in one and many dimensions, this book also contains a mathematical theory of certain important weakly singular integral equations of the first kind arising in mechanics, diffraction theory and other areas of mathematical physics. The author focuses on explicit inversion formulae that can be obtained by making use of the classical Marchaud's approach and its generalization, leading to wavelet type representations.

New to this Edition

Two new chapters and a new appendix, related to Radon transforms and harmonic analysis of linear operators commuting with rotations and dilations have been added.
Contains new exercises and bibliographical notes along with a thoroughly expanded list of references.

This book is suitable for mathematical physicists and pure mathematicians researching in the area of integral equations, integral transforms, and related harmonic analysis.

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Yes, you can access Fractional Integrals, Potentials, and Radon Transforms by Boris Rubin in PDF and/or ePUB format, as well as other popular books in Mathematics & Analytic Geometry. We have over one million books available in our catalogue for you to explore.