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Mathematics of the USSR-Sbornik, 1988, Volume 61, Issue 1, Pages 137–145
DOI: https://doi.org/10.1070/SM1988v061n01ABEH003197 (Mi sm1927) 		 
Best approximations by rational vector-valued functions in Hardy spaces

S. A. Ivanov
English version PDF (528 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1988v061n01ABEH003197
Abstract: Interpolation conditions satisfied by a best norm approximation among all rational functions of total order N are obtained for vector-valued functions in the Hardy space H2(E). Also, descriptions are given for bases in finite-dimensional subspaces invariant under the backward shift operator.
Bibliography: 9 titles.
Received: 17.10.1985
Bibliographic databases:
UDC: 517.53
MSC: Primary 41A20, 41A50, 30D55; Secondary 47B37, 30E05
Language: English
Original paper language: Russian
Citation: S. A. Ivanov, “Best approximations by rational vector-valued functions in Hardy spaces”, Math. USSR-Sb., 61:1 (1988), 137–145
Citation in format AMSBIB
\Bibitem{Iva87}
\by S.~A.~Ivanov
\paper Best approximations by rational vector-valued functions in Hardy spaces
\jour Math. USSR-Sb.
\yr 1988
\vol 61
\issue 1
\pages 137--145
\mathnet{http://mi.mathnet.ru/eng/sm1927}
\crossref{https://doi.org/10.1070/SM1988v061n01ABEH003197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=899004}
\zmath{https://zbmath.org/?q=an:0656.30027|0629.30034}
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:291
    Russian version PDF:110
    English version PDF:21
    References:58
     
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