Published: 1960 Received: December 11, 1959Available on J-STAGE: August 29, 2006Accepted: -
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Date of correction: August 29, 2006Reason for correction: -Correction: CITATIONDetails: Right : [1] M. Riesz, L'integrale de Riemann-Liouville et la probleme de Cauchy, Acta Math., 81 (1949), 1-223. [2] L. Garding, Linear hyperbolic partial differential equations with constant coefficients, Acta. Math., 85 (1951), 1-62. [3] J. Leray, Hyperbolic differential equations, mimeographed notes of lectures delivered at the Institute for Advanced Study, Princeton, 1953. [4] A. Erdelyi, etc., Higher transcendental functions, vol. 1, McGraw-Hill Book Company, Inc., New York. [5] E. Goursat, Cours D'Analyse Mathematique, Gauthier-Villars, vol. 3, Paris, 1927. [6] J. Hadamard, Lectures on Cauchy's problem in linear partial differential equations, Dover Publications, New York, 1952. [7] F. Bureau, Divergent integrals and partial differential equations, Comm. Pure Appl. Math., 8 (1955), 143-202. [8] F. Bureau, Sur l'integration des equations lineaires aux derivees partielles du second ordre et du type hyperbolique normal, Mem. Soc. Roy. Sci. Liège, Scr. 4, 3 (1938). [9] A. Weinstein, On the Cauchy problem for the Euler-Poisson-Darboux equation, Bull. Amer. Math. Soc., 59 (1953), 454. [10] Diaz and Martin, Riemann's method and the problem of Cauchy. II. The wave equation in n dimensions, Proc. Amer. Math. Soc., 3 (1952), 476-483.
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