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Literature Cited
A. Martineau, “Equations differentielles d'ordre infini,” Bull. Soc. Math. France,95, No. 2, 109–154 (1967).
B. Malgrange, “Existence et approximation des solutions des equations aux derivees partielles et des equations de convolution,” Ann. Inst. Fourier, No. 6, 271–355 (1955/56).
L. Hörmander, Linear Differential Operators with Partial Derivatives [Russian translation], Mir, Moscow (1965).
J.-M. Bony and G. Shapira, “Existence and extension of holomorphic solutions with partial derivatives,” in: Matematika, Collection of translations17, No. 1, 162–171.
A. Martineau, “Sur la notion d'ensamble fortement linéelment convexe,” An., Acad. Brasil. Cienc.,40, No. 4, 427–435 (1968).
S. V. Znamenskii, “Geometric criterion of strong linear convexity,” Funkts. Prilozhen.,13, No. 3, 83–84 (1979).
B. V. Shabat, Introduction to Complex Analysis [in Russian], Part 2, Nauka, Moscow (1976).
C. O. Kiselman, “Existence and approximation theorems for solutions of complex analogs of boundary problems,” Ark. Mat.,6, No. 11, 193–207 (1966).
Additional information
Krasnoyarsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 2, pp. 70–74, March–April, 1988.
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Znamenskii, S.V., Myslivets, S.G. A local solvability criterion for partial differential equations with constant coefficients. Sib Math J 29, 218–221 (1988). https://doi.org/10.1007/BF00969733
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DOI: https://doi.org/10.1007/BF00969733