Fractional Integrals, Potentials, and Radon Transforms (Chapman & Hall/CRC Monographs and Research Notes in Mathematics) - Hardcover

Rubin, Boris

Hardcover

ISBN 10: 1032673664 ISBN 13: 9781032673660

Publisher: Chapman and Hall/CRC, 2024

Synopsis

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.

New to this Edition

• Two new chapters and a new appendix, related to Radon transforms and harmonic analysis of linear operators commuting with rotations and dilations have been added.
• Contains new exercises and bibliographical notes along with a thoroughly expanded list of references.

This book is suitable for mathematical physicists and pure mathematicians researching in the area of integral equations, integral transforms, and related harmonic analysis.

About this title

About the Author

Boris Rubin is a Professor of Mathematics at Louisiana State University in Baton Rouge (LA, USA). His interests include applications of fractional integrals and harmonic analysis to integral geometry. Prof. Rubin is the author of many articles and a book on this subject. He is an Honorary Editor of the journal “Fractional Calculus and Applied Analysis”.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2024
• Language: English
• ISBN 10: 1032673664
• ISBN 13: 9781032673660
• Binding: Hardcover
• Edition number: 2
• Number of pages: 576