Nakanishi, Shizu The space of distributions treated as a ranked space. (English) Zbl 0444.46026 Proc. Japan Acad., Ser. A 55, 395-398 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Review MSC: 46F05 Topological linear spaces of test functions, distributions and ultradistributions 54E99 Topological spaces with richer structures Keywords:Borel set; space of distributions; complete ranked space; preneighbourhood Citations:Zbl 0057.147; Zbl 0078.110 PDFBibTeX XMLCite \textit{S. Nakanishi}, Proc. Japan Acad., Ser. A 55, 395--398 (1979; Zbl 0444.46026) Full Text: DOI References: [1] I. M. Gel’fand and G. E. Shilov: Generalized Functions, vol.2, Academic Press, New York-London (1968). · Zbl 0115.33101 [2] F. Hausdorff: Grundzuge der Mengenlehre. Veit, Leipzig: (1914). · Zbl 1175.01034 [3] K. Kunugi: Sur les espaces complets et regulierement complets. I. Proc. Japan Acad., 30, 553-556 (1954). · Zbl 0057.14702 · doi:10.3792/pja/1195526009 [4] K. Kunugi: Sur la methode des espaces ranges. II. Ibid., 42, 549-554 (1966). · Zbl 0148.16403 · doi:10.3792/pja/1195522024 [5] S. Nakanishi: The method of ranked spaces proposed by Professor Kinjiro Kunugi. Math. Japon., 23, 291-323 (1978). · Zbl 0413.54035 [6] L. Schwartz: Theorie des distributions. I. Hermann, Paris (1950). · Zbl 0037.07301 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.