Diagonalizable generalized Abel integral operators

SIAM Journal on Applied Mathematics

Volumn 57, Issue 2, 1997, Pages 568-575

  Chakrabarti, A ^a   George, A J ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Abel integral operator; Diagonalization; Inverse problems

Indexed keywords

INTEGRAL EQUATIONS; INVERSE PROBLEMS;

ABEL INTEGRAL OPERATORS; DIAGONALIZATION;

MATHEMATICAL OPERATORS;

EID: 0031122601     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139995279676     Document Type: Article

References (5)

1. N.H. ABEL, Auflösung einer mechanishen Aufgabe, J. Reine Angew. Math, 1 (1826), pp. 153-157.
2. O. KNILL, Diagonalization of Abel's integral operator, SIAM J. Appl. Math., 54 (1994), pp. 1250-1253.
3. O. KNILL, R. DGANI, AND M. VOGEL, A new approach to Abel's integral operator and its application to stellar winds, Astronom. and Astrophys., 274 (1993), p. 1002.
4. G. MINERBO AND M. LEVY, Inversion of Abel's integral equation by means of orthogonal polynomials, SIAM J. Numer. Anal., 6 (1969), p. 598.
5. K.B. OLDHAM AND J. SPANIER, The Fractional Calculus, Academic Press, New York, 1974.