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A remark on a mean value theorem of Alexander Weinstein in Generalized Axially Symmetric Potential Theory

Published online by Cambridge University Press:  17 April 2009

J.B. Diaz  and
John G. Leschen
J.B. Diaz
Affiliation:
Rensselaer Polytechnic Institute, Troy, New York, USA
John G. Leschen
Affiliation:
1170 Mohawk Road, Schenectady, New York, USA.
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Abstract

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Cordially dedicated to Professor Alexander Weinstein, on the occasion of his Seventyseventh birthday, January 21, 1974.

This note contains the proof of an extension of Alexander Weinstein's mean value theorem for Generalized Axially Symmetric Potential Theory.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 9 , Issue 1 , August 1973 , pp. 1 - 9
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Diaz, J.B. and Ludford, G.S.S., “On the Euler-Poisson-Darboux equation, integral operators, and the method of descent”, Proc. Conf. Diff. Equ., University of Maryland, March 1955, 73–89 (University of Maryland Book Store, College Park, Maryland; 1956).Google Scholar
[2]Diaz, J.B. and Weinberger, H.F., “A solution of the singular initial value problem for the Euler-Poisson-Darboux equation”, Proc. Amer. Math. Soc. 4 (1953), 703–715.Google Scholar
[3]Riesz, Marcel, “L'intégrale de Riemann-Liouville et le problème de Cauchy”, Acta Math. 81 (1949), 1–223.CrossRefGoogle Scholar
[4]Weinstein, Alexander, “Discontinuous integrals and generalized potential theory”, Trans. Amer. Math. Soc. 63 (1948), 342–354.CrossRefGoogle Scholar
[5]Weinstein, Alexander, “Generalized axially symmetric potential theory”, Bull. Amer. Math. Soc. 59 (1953), 20–38.CrossRefGoogle Scholar