Causality and analyticity

Causality and analyticity
HTML articles powered by AMS MathViewer

by Y. Fourès and I. E. Segal PDF

Trans. Amer. Math. Soc. 78 (1955), 385-405 Request permission

References

S. Bochner, Bounded Analytic Functions in Several Variables and Multiple Laplace Integrals, Amer. J. Math. 59 (1937), no. 4, 732–738. MR 1507275, DOI 10.2307/2371340
S. Bochner, Group invariance of Cauchy’s formula in several variables, Ann. of Math. (2) 45 (1944), 686–707. MR 11131, DOI 10.2307/1969297
Salomon Bochner and William Ted Martin, Several Complex Variables, Princeton Mathematical Series, vol. 10, Princeton University Press, Princeton, N. J., 1948. MR 0027863
Lars Gårding, Linear hyperbolic partial differential equations with constant coefficients, Acta Math. 85 (1951), 1–62. MR 41336, DOI 10.1007/BF02395740

Symbolic calculus for several variables and boundary value problems for differential equations

Jean Leray, Les solutions élémentaires d’une équation aux dérivées partielles, à coefficients constants, C. R. Acad. Sci. Paris 234 (1952), 1112–1115 (French). MR 51423
Raymond E. A. C. Paley and Norbert Wiener, Fourier transforms in the complex domain, American Mathematical Society Colloquium Publications, vol. 19, American Mathematical Society, Providence, RI, 1987. Reprint of the 1934 original. MR 1451142, DOI 10.1090/coll/019
I. E. Segal, A non-commutative extension of abstract integration, Ann. of Math. (2) 57 (1953), 401–457. MR 54864, DOI 10.2307/1969729
Norbert Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series. With Engineering Applications, Technology Press of The Massachusetts Institute of Technology, Cambridge, Mass.; John Wiley & Sons, Inc., New York, N.Y.; Chapman & Hall, Ltd., London, 1949. MR 0031213, DOI 10.7551/mitpress/2946.001.0001