03459cam a2200565M 4500 9781032675022 FlBoTFG 20251030122304.0 m o d cr |n||||||||| 240703s2024 xx o 0|| 0 eng d OCoLC-P eng OCoLC-P 9781040101940 (electronic bk.) 1040101941 (electronic bk.) 9781032675022 (electronic bk.) 1032675020 (electronic bk.) 9781040101933 (electronic bk. : PDF) 1040101933 (electronic bk. : PDF) 1032673664 9781032673660 10.1201/9781032675022 doi (OCoLC)1443482660 (OCoLC-P)1443482660 QA314 MAT 034000 bisacsh MAT 012020 bisacsh MAT 005000 bisacsh PBK bicssc Rubin, Boris, author. https://id.oclc.org/worldcat/entity/E39PCjJPYXFhpjPDgPCbq6m883 96001 Fractional integrals and potentials FRACTIONAL INTEGRALS, POTENTIALS, AND RADON TRANSFORMS [electronic resource]. Second edition. [S.l.] : CHAPMAN & HALL CRC, 2024. 1 online resource Chapman and Hall/CRC monographs and research notes in mathematics 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. OCLC-licensed vendor bibliographic record. Fractional calculus. 96002 Functions. 96003 Radon transforms. 96004 Integral geometry. 96005 MATHEMATICS / Mathematical Analysis bisacsh 92712 MATHEMATICS / Geometry / Analytic bisacsh 96006 MATHEMATICS / Calculus bisacsh 94263 Taylor & Francis https://www.taylorfrancis.com/books/9781032675022 OCLC metadata license agreement http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf E-Books 68236 68236