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Bibliography
Anderson, R.F., The Weyl Functional Calculus, J. Functional Analysis, 4, 240–267, 1969.
Courant, R. and Hilbert, D., Methods of Mathematical Physics, Vol.2, New York 1962.
Gårding, L., Linear Hyperbolic Partial Differential Equations with constant coefficients, Acta Math., 85, 1–62, 1950.
Gårding, L., The Solution of Cauchy's problem for two totally hyperbolic linear differential equations by means of Riesz integrals, Ann. of Math. 48, 785–826, 1947. ibid. 52, 506–507, 1950.
Hörmander, L., Linear Partial Differential Operators, Berlin 1963.
John, F., Plane Waves and Spherical Means Applied to Partial Differential Equations, New York 1955.
Nelson, E. Operants: A Functional Calculus for Non-Commuting Operators, Funct. Analysis and Related Fields, 172–187,1970.
Petrowsky, I.G., On the diffusion of waves and the lacunas for hyperbolic equations, Mat. Sb. 17 (59), 289–370, 1945.
Wilcox, C.H., The Singularities of the Green's Matrix in Anisotropic Wave Motion, Indiana Univ. Math. J., 20, No 12, 1093–1117, 1971.
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Leonard, P. (1974). Fundamental solutions of hyperbolic differential equations. In: Garnir, H.G., Unni, K.R., Williamson, J.H. (eds) Functional Analysis and its Applications. Lecture Notes in Mathematics, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063587
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DOI: https://doi.org/10.1007/BFb0063587
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