Fractional Integrals and Potentials

1st Edition

Boris Rubin

Chapman and Hall/CRC
Published June 24, 1996
Reference - 424 Pages
ISBN 9780582253414 - CAT# LM5341
Series: Monographs and Surveys in Pure and Applied Mathematics

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Summary

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 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 Marchaudís approach and its generalization, leading to wavelet type representations.

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