Rubin, Boris creator author. text xx S.l.] CHAPMAN & HALL CRC 2024 Second edition. monographic eng

electronic resource

1 online resource 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. Fractional calculus Functions Radon transforms Integral geometry MATHEMATICS / Mathematical Analysis MATHEMATICS / Geometry / Analytic MATHEMATICS / Calculus QA314 9781040101940 1040101941 9781032675022 1032675020 9781040101933 1040101933 https://www.taylorfrancis.com/books/9781032675022 http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf https://www.taylorfrancis.com/books/9781032675022 http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf OCoLC-P 240703 20251030122304.0 9781032675022 eng