Gurevich, D. I. 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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 26 Documents MSC: 46F05 Topological linear spaces of test functions, distributions and ultradistributions PDFBibTeX XMLCite \textit{D. I. Gurevich}, Funct. Anal. Appl. 9, 116--120 (1975; Zbl 0326.46020); translation from Funkts. Anal. Prilozh. 9, No. 2, 29--35 (1975) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.