
Fractional Integrals and Potentials
Boris Rubin(Author)
CRC Press
1st Edition
Published on 24. June 1996
Book
Hardback
424 pages
978-0-582-25341-4 (ISBN)
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Description
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 Marchaudis approach and its generalization, leading to wavelet type representations.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Dimensions
Height: 280 mm
Width: 210 mm
Weight
344 gr
ISBN-13
978-0-582-25341-4 (9780582253414)
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Persons
Rubin\, Boris
Content
Preface
Notation
Chapter 1 Generalities
Chapter 2 One-dimensional fractional integrals
Chapter 3 Fractional integro-differentiation via wavelet transforms
Chapter 4 Riesz potentials on R
Chapter 5 Oscillatory potentials on R
Chapter 6 Potentials on a half-space
Chapter 7 Riesz potentials on a ball
Chapter 8 Fractional integrals on a sphere
Appendix 1
Appendix 2
Appendix 3
Bibliography
Notation
Chapter 1 Generalities
Chapter 2 One-dimensional fractional integrals
Chapter 3 Fractional integro-differentiation via wavelet transforms
Chapter 4 Riesz potentials on R
Chapter 5 Oscillatory potentials on R
Chapter 6 Potentials on a half-space
Chapter 7 Riesz potentials on a ball
Chapter 8 Fractional integrals on a sphere
Appendix 1
Appendix 2
Appendix 3
Bibliography