{"product_id":"fractional-integrals-potentials-and-radon-transforms","title":"Fractional Integrals, Potentials, and Radon Transforms","description":"\u003cp\u003e\u003cb\u003e\u003ci\u003eFractional Integrals, Potentials, and Radon Transforms, Second Edition \u003c\/i\u003e\u003c\/b\u003epresents 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.\u003cbr\u003e\u003cbr\u003eBeyond 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eNew to this Edition\u003c\/b\u003e\u003c\/p\u003e\u003cul\u003e \u003cli\u003eTwo new chapters and a new appendix, related to Radon transforms and harmonic analysis of linear operators commuting with rotations and dilations have been added.\u003c\/li\u003e \u003cli\u003eContains new exercises and bibliographical notes along with a thoroughly expanded list of references.\u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003eThis book is suitable for mathematical physicists and pure mathematicians researching in the area of integral equations, integral transforms, and related harmonic analysis.\u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Default Title","offer_id":45588343849198,"sku":"9781032673660","price":285.6,"currency_code":"AUD","in_stock":true}],"url":"https:\/\/bookland.com.au\/products\/fractional-integrals-potentials-and-radon-transforms","provider":"Book Land AU","version":"1.0","type":"link"}