Fractional Integrals, Potentials, and Radon Transforms - Couverture rigide

Rubin, Boris

 
9781032673660: Fractional Integrals, Potentials, and Radon Transforms
Couverture rigide
ISBN 10 : 1032673664 ISBN 13 : 9781032673660
Editeur : Chapman & 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

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".

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Chapman & Hall/CRC
Date d'édition
2024
Langue
anglais
ISBN 10 
1032673664
ISBN 13 
9781032673660
Reliure
Relié
Numéro d'édition
2
Nombre de pages
576
Coordonnées du fabricant
non disponible
Personne responsable
GPSR Kontakt
gpsr@libri.de

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