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The space of distributions treated as a ranked space. (English) Zbl 0444.46026


MSC:

46F05 Topological linear spaces of test functions, distributions and ultradistributions
54E99 Topological spaces with richer structures
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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
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