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Keywords:
distribution; model delta-sequence; model delta-net
distribution; model delta-sequence; model delta-net
Summary:
Products {$ [S]\cdot [T] $} and {$ [S]\cdot T $}, defined by model delta-nets, are equivalent.
References:
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[3] Kamiński A.: Convolution, product and Fourier transform of distributions. Stud. Math. 74 (1982), 83-96. MR 0675434
[4] Oberguggenberger M.: Products of distributions, nonstandard methods. Z. Anal. Anw. 7.4 (1988), 347-365. MR 0963445 | Zbl 0662.46048
[5] Oberguggenberger M.: Multiplication of Distributions and Applications to Partial Differential Equations. Institut für Mathematik und Geometrie, Universität Innsbruck, Austria, 1992, p. 312. MR 1187755 | Zbl 0818.46036
[6] Pietsch A.: Nukleare lokalkonvexe Räume. Akademie-Verlag Berlin, 1965, p. 266. MR 0181888 | Zbl 0184.14602
[7] Schwartz L.: Théorie des distributions. Herman, Paris, 1957. MR 0209834 | Zbl 0962.46025
[8] Wawak R.: On the Colombeau product of distributions. Proceedings Conf. Katowice, June 1988.
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