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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 92, Pages 259–264 (Mi znsl3203)  
Short communications

Incomparability of two algebras of continuous functions on the sphere

A. V. Basov
Full-text PDF (236 kB)
Abstract: An analogue $\mathscr R(S^{n-1})$ of an algebra of absolutely convergent Fourier series is considered. It is proved that $\mathscr R(S^2)$ and an algebra of restrictions to $S^2$ of absolutely convergent Fourier integrals do not contain each other.
Bibliographic databases:
Document Type: Article
UDC: 517.2+517.564
Language: Russian
Citation: A. V. Basov, “Incomparability of two algebras of continuous functions on the sphere”, Investigations on linear operators and function theory. Part IX, Zap. Nauchn. Sem. LOMI, 92, "Nauka", Leningrad. Otdel., Leningrad, 1979, 259–264
Citation in format AMSBIB
\Bibitem{Bas79}
\by A.~V.~Basov
\paper Incomparability of two algebras of continuous functions on the sphere
\inbook Investigations on linear operators and function theory. Part~IX
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 92
\pages 259--264
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3203}
\zmath{https://zbmath.org/?q=an:0431.46037}
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  • https://www.mathnet.ru/eng/znsl/v92/p259
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