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Abel integral equations : analysis and applications

Author: Rudolf Gorenflo; Sergio Vessella
Publisher: Berlin ; New York : Springer-Verlag, ©1991.
Series: Lecture notes in mathematics (Springer-Verlag), 1461.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Gorenflo, Rudolf.
Abel integral equations.
Berlin ; New York : Springer-Verlag, ©1991
(DLC) 91006320
(OCoLC)23048518
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Rudolf Gorenflo; Sergio Vessella
ISBN: 9783540469490 3540469494
OCLC Number: 277017960
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (vii, 215 pages) : illustrations.
Details: 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.
Contents: Basic theory and representation formulas --
Applications of Abel's original integral equation: Determination of potentials --
Applications of a transformed abel integral equation --
Smoothing properties of the abel operators --
Existence and uniqueness theorems --
Relations between abel transform and other integral transforms --
Nonlinear abel integral equations of second kind --
Illposedness and stabilization of linear abel integral equations of first kind --
On numerical treatment of first kind abel integral equations.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1461.
Responsibility: Rudolf Gorenflo, Sergio Vessella.
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Abstract:

This monograph on integral equations focuses specifically on Abel equations and their applications in such fields as spectroscopy and stereology. The text, which requires some background in  Read more...

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