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Counterexamples to a problem of L. Schwartz. (English. Russian original) Zbl 0326.46020

Funct. Anal. Appl. 9, 116-120 (1975); translation from Funkts. Anal. Prilozh. 9, No. 2, 29-35 (1975).

MSC:

46F05 Topological linear spaces of test functions, distributions and ultradistributions
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References:

[1] I. M. Gel’fand and G. E. Shilov, Spaces of Fundamental and Generalized Functions: Generalized Functions, Vol. 2 [in Russian], Fizmatgiz, Moscow (1958). · Zbl 0091.11103
[2] D. I. Gurevich, ”On a problem of L. Schwartz,” Funktsional. Analiz i Ego Prilozhen.,5, No. 1, 76-77 (1971). · Zbl 0245.46050
[3] L. Hörmander, Introduction to the Theory of Functions of Several Complex Variables [Russian translation], Mir, Moscow (1968).
[4] B. Malgrange, ”Existence et approximation de solutions des équations aux dérivées partielles et équations de convolution,” Ann. Inst. Fourier,6, 271-355 (1956). · Zbl 0071.09002
[5] A. Martineau, ”Équations différentielles d’ordre infini,” Bull. Soc. Math. France,95, 109-154 (1967). · Zbl 0167.44202
[6] L. Schwartz, ”Théorie générale des fonctions moyenneperiodique,” Ann. Math.,48, No. 4, 857-929 (1947). · Zbl 0030.15004
[7] L. Schwartz, ”Analyse et syntése harmonique dans les espaces de distributions,” Canad. J. Math.,3, 503-512 (1951). · Zbl 0043.33002
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