Knill, Oliver (1994) Diagonalization of Abel's integral operator. SIAM Journal on Applied Mathematics, 54 (5). pp. 1250-1253. ISSN 0036-1399. https://resolver.caltech.edu/CaltechAUTHORS:20120306-163730535
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Abstract
An explicit diagonalization of Abel's integral operator A(g)(y) = ∫^(∞)_(y) 1/√[(x^(2)-y^(2)]g(x)dx is given.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1994 Society for Industrial and Applied Mathematics. Received June 25, 1993; accepted December 20, 1993. The author thanks the referees for useful remarks and constructive critics. | |||||||||
| Subject Keywords: | Abel integral operator; inverse problems | |||||||||
| Issue or Number: | 5 | |||||||||
| Classification Code: | AMS subject headings: 45E10 | |||||||||
| Record Number: | CaltechAUTHORS:20120306-163730535 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120306-163730535 | |||||||||
| Official Citation: | Diagonalization of Abel's Integral Operator Oliver Knill, SIAM J. Appl. Math. 54, 1250 (1994), DOI:10.1137/S0036139993250907 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 29610 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Jason Perez | |||||||||
| Deposited On: | 13 Mar 2012 16:07 | |||||||||
| Last Modified: | 03 Oct 2019 03:43 |
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