Fractional Integrals, Potentials, and Radon Transforms
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Description
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.
Link to Catalog
LOC Call Number
QA314 .R83 2025
ISBN
9781032673660
Publication Date
2025
Publisher
CRC Press
City
Boca Raton, Florida
Recommended Citation
Rubin, Boris, "Fractional Integrals, Potentials, and Radon Transforms" (2025).
