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Fractional Integrals and Potentials Boris Rubin

Fractional Integrals and Potentials

Boris Rubin

Published June 24th 1996
ISBN : 9780582253414
Hardcover
424 pages
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 About the Book 

This volume 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. Beyond some basic properties of fractionalMoreThis volume 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. Beyond some basic properties of fractional integrals in one and many dimensions, it 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 Marchaudis approach and its generalization, leading to wavelet type representations.