Remarks on absolutely regular and regular $K'{M_p}$-distributions

• Autorzy: S. Pilipović
• Języki publikacji: EN

Abstrakty

EN

&nbspAbstract. We give the definition of $K'{M_P}$ regular distributions and some characterizations of absolutely regular and regular $K'{M_p}$-distributions.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 54
• Numer: 1
• Strony: 1-7

Daty

wydano

1991

otrzymano

1987-05-30

poprawiono

1988-03-06

poprawiono

1989-02-20

poprawiono

1990-02-05

Twórcy

autor

S. Pilipović

• Institute of Mathematics, University of Novi Sad, Ilije Đuričića 4, 21000 Nsvl Sod, Yugoslavia

Bibliografia

• [1] I. M. Gel'fand and G. E. Shilov, Generalized Functions, Vol. 2, Spaces of Fundamental and Generalized Functions, Acad. Press, New York-London 1968.
• [2] P. Dierolf, Some locally convex spaces of regular distributions, Studia Math. 77 (1984), 393-412.
• [3] C. Kliś and S. Pilipović, Remarks on absolutely regular and regular tempered distributions, Publ. Inst. Math. Beograd (to appear).
• [4] S. Pilipović, On regular K'{M_p}-distributions, Ann. Polon. Math. 48 (1988), 31-39.
• [5] L. Schwartz, Théorie des Distributions, Hermann, Paris 1966.
• [6] Z. Szmydt, On regular tempered distributions, Studia Math. 44 (1972), 309-314.
• [7] Z. Szmydt, Characterization of regular tempered distributions, Ann. Polon. Math, 16 (1983), 255-258.