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Book Cover
Author Gorenflo, Rudolf.

Title Abel integral equations [electronic resource] : analysis and applications / Rudolf Gorenflo, Sergio Vessella.

Published Berlin ; New York : Springer-Verlag, ñ991.


Location Call No. Status
Physical description 1 online resource (vii, 215 pages) : illustrations.
Series Lecture notes in mathematics, 0075-8434 ; 1461
Lecture notes in mathematics (Springer-Verlag) ; 1461.
Bibliography Includes bibliographical references (p. [195]-209) and index.
Restrictions Use copy Restrictions unspecified star MiAaHDL
Summary In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. In the first three chapters (accessible to third year students of mathematics and physics and to mathematically interested engineers) applications of Abel integral equations are surveyed broadly including determination of potentials, stereology, seismic travel times, spectroscopy, optical fibres. In subsequent chapters (requiring some background in functional analysis) mapping properties of Abel integral operators and their relation to other integral transforms in various function spaces are investi- gated, questions of existence and uniqueness of solutions of linear and nonlinear Abel integral equations are treated, and for equations of the first kind problems of ill-posedness are discussed. Finally, some numerical methods are described. In the theoretical parts, emphasis is put on the aspects relevant to applications.
Reproduction Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
System notes Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL
Processing Action digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
Notes Description based on print version record.
Other author Vessella, Sergio.
Subject Abel integral equations.
Abel integral equations.
Abelsche Integralgleichung.
Electronic books.
ISBN 9783540469490 (electronic bk.)
3540469494 (electronic bk.)