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Mathematics of the USSR-Sbornik, 1973, Volume 20, Issue 2, Pages 267–281
DOI: https://doi.org/10.1070/SM1973v020n02ABEH001874 (Mi sm3115) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the inversion and on the spectrum of Wiener–Hopf matrix operators

G. Khainig
English version PDF (752 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/SM1973v020n02ABEH001874
Abstract: A new method is presented for inverting and studying Weiner–Hopf matrix operators in the case when the symbol of the operator has a power series expansion that terminates in one direction or the other, and a criterion is found for (right, left, two-sided) invertibility of operators that do not involve partial indices.
Using this method a new spectral property of some operator bundles is found, and necessary and sufficient conditions for the applicability of the method of reduction are established.
Bibliography: 6 titles.
Received: 04.07.1972
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1973, Volume 91(133), Number 2(6), Pages 253–266
Bibliographic databases:
UDC: 517.9
MSC: Primary 47B35; Secondary 45E10, 47B30, 47A10, 47A20
Language: English
Original paper language: Russian
Citation: G. Khainig, “On the inversion and on the spectrum of Wiener–Hopf matrix operators”, Mat. Sb. (N.S.), 91(133):2(6) (1973), 253–266; Math. USSR-Sb., 20:2 (1973), 267–281
Citation in format AMSBIB
\Bibitem{Hei73}
\by G.~Khainig
\paper On~the inversion and on the spectrum of Wiener--Hopf matrix operators
\jour Mat. Sb. (N.S.)
\yr 1973
\vol 91(133)
\issue 2(6)
\pages 253--266
\mathnet{http://mi.mathnet.ru/sm3115}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=346580}
\zmath{https://zbmath.org/?q=an:0274.47019}
\transl
\jour Math. USSR-Sb.
\yr 1973
\vol 20
\issue 2
\pages 267--281
\crossref{https://doi.org/10.1070/SM1973v020n02ABEH001874}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:278
    Russian version PDF:97
    English version PDF:9
    References:41
     
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