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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An explicit formula for fundamental solutions of linear partial differential equations with constant coefficients
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by Heinz König PDF
Proc. Amer. Math. Soc. 120 (1994), 1315-1318 Request permission
References
  • Leon Ehrenpreis, Solution of some problems of division. I. Division by a polynomial of derivation, Amer. J. Math. 76 (1954), 883–903. MR 68123, DOI 10.2307/2372662
  • G. B. Folland, Lectures on partial differential equations, Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. 70, Published for the Tata Institute of Fundamental Research, Bombay; by Springer-Verlag, Berlin, 1983. MR 696577, DOI 10.1007/978-3-662-00729-7
  • L. Hörmander, Linear partial differential operators, Springer, New York, 1963.
  • Lars Hörmander, The analysis of linear partial differential operators. I, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 256, Springer-Verlag, Berlin, 1983. Distribution theory and Fourier analysis. MR 717035, DOI 10.1007/978-3-642-96750-4
  • Bernard Malgrange, Equations aux dérivées partielles à coefficients constants. I. Solution élémentaire, C. R. Acad. Sci. Paris 237 (1953), 1620–1622 (French). MR 60112
  • —, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Ann. Inst. Fourier (Grenoble) 6 (1955-56), 271-355.
  • Jean-Pierre Rosay, A very elementary proof of the Malgrange-Ehrenpreis theorem, Amer. Math. Monthly 98 (1991), no. 6, 518–523. MR 1109574, DOI 10.2307/2324871
  • Walter Rudin, Functional analysis, McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973. MR 0365062
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 1315-1318
  • MSC: Primary 35E05
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1197539-8
  • MathSciNet review: 1197539