Fourier analysis on locally convex spaces of distributions, I

• Autorzy: Sinha R. P. , Mohammed A. N.
• Języki publikacji: EN

Abstrakty

EN

In this series of papers, many results of Fourier analysis which are known for Lp (1 < p < oo) , C (the space of continuous functions) and other Banach spaces of functions have been generalized to locally convex spaces of distributions. Also, in this paper, the (C, 1)-complementary space E' of a locally convex space of distributions E is defined and it is shown that E' , as a subspace of E* with strong* topology, is a locally convex space of distributions.

Słowa kluczowe

EN

convex spaces; Banach space; harmonic analysis

PL

przestrzeń wypukła; przestrzeń Banacha

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 3
• Strony: 697--709
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Sinha R. P.

• Department of Mathematics, I.I.T. Roorkee, Roorkee, India - 247667

autor

Mohammed A. N.

• Dubai University College, General Education Department, P.O. Box 14143, Dubai, UAE

Bibliografia

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