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Zapiski Nauchnykh Seminarov POMI, 1993, Volume 206, Pages 5–14 (Mi znsl5802)  
Weighted approximation for trigonometric sums and the Carleman–Krylov–Golusin formula

V. A. Bart, V. P. Havin
Full-text PDF (434 kB) English version article
Abstract: An explicit formula is given yielding linear combinations of harmonics with negative frequencies approximating a prescribed harmonic with a positive frequency in a weighted space $L^2(h)$. The formula is based on the interpolation Carleman–Krylov–Golusin formula. Bibliography: 11 titles.
English version:
Journal of Mathematical Sciences, 1996, Volume 80, Issue 4, Pages 1873–1879
DOI: https://doi.org/10.1007/BF02367001
Bibliographic databases:
Document Type: Article
UDC: 517.85
Language: Russian
Citation: V. A. Bart, V. P. Havin, “Weighted approximation for trigonometric sums and the Carleman–Krylov–Golusin formula”, Investigations on linear operators and function theory. Part 21, Zap. Nauchn. Sem. POMI, 206, Nauka, St. Petersburg, 1993, 5–14; J. Math. Sci., 80:4 (1996), 1873–1879
Citation in format AMSBIB
\Bibitem{BarHav93}
\by V.~A.~Bart, V.~P.~Havin
\paper Weighted approximation for trigonometric sums and the Carleman--Krylov--Golusin formula
\inbook Investigations on linear operators and function theory. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 1993
\vol 206
\pages 5--14
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5802}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1255311}
\zmath{https://zbmath.org/?q=an:0862.42006}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 80
\issue 4
\pages 1873--1879
\crossref{https://doi.org/10.1007/BF02367001}
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