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Cauchy problem; Dirac delta function; complex variables

References:

[1] W. Nowacki: **The theory of elasticity**. (Russian). Moscow, 1975. Zbl 0385.73007

[2] T. D. Lee: **Mathematical methods in Physics**. (Russian). Moscow, 1965. MR 0192677

[3] A. T. De Hoop: **A modification of Cagniard's method for solving seismic pulse problems**. Appl. Sd. Res. Sect. B, vol. 8 (1960), 4, 349-356. DOI 10.1007/BF02920068 | Zbl 0100.44208

[4] A. P. Prudnikov, Yu. A. Brychkov O. A. Marichev: **Integrals and series. Special functions**. (Russian). Moscow, 1983.

[5] A. P. Prudnikov, Yu. A. Brychkov O. A. Marichev: **Integrals and series. Elementary functions**. (Russian). Moscow, 1981.

[6] V. B. Poruchikov: **The methods of elastodynamics**. (Russian). Moscow, 1986.

[7] V. A. Ditkin A. P. Prudnikov: **Integral transforms and operational calculus**. (Russian). Moscow, 1961. MR 0481946

[8] I. M. Gelfand G. E. Shilov: **Generalized functions and operations with them. Vol. 1**. (Russian). Moscow, 1959.