Abstract:
A study was made in [1] of the class of one-dimensional singular integral-functional equations closely connected with elliptic boundary-value problems on the plane in domains with piecewise-smooth boundaries. A criterion for the Fredholm property of these operators was formulated there in terms of the so-called end symbol. This symbol is a semi-almost periodic matrix-valued function assigned to the equation under consideration. In this paper we study this situation from a more general point of view.
\Bibitem{Sol99}
\by A.~P.~Soldatov
\paper On the index of operators with end symbol
\jour Izv. Math.
\yr 1999
\vol 63
\issue 4
\pages 791--825
\mathnet{http://mi.mathnet.ru/eng/im258}
\crossref{https://doi.org/10.1070/im1999v063n04ABEH000258}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1717683}
\zmath{https://zbmath.org/?q=an:0972.47038}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000084502900008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746816223}
Linking options:
https://www.mathnet.ru/eng/im258
https://doi.org/10.1070/im1999v063n04ABEH000258
https://www.mathnet.ru/eng/im/v63/i4/p171
This publication is cited in the following 3 articles:
Polosin A.A., “On One Degenerating Singular Integral Operator”, Differ. Equ., 57:10 (2021), 1413–1417
Soldatov A.P., “The algebra of singular operators with terminal symbol on a piecewise smooth curve: II. Basic constructions”, Differential Equations, 37:6 (2001), 866–879
Soldatov A.P., “The algebra of singular operators with terminal symbol on a piecewise smooth curve: I. Convolution type operators on a semiaxis”, Differential Equations, 36:9 (2000), 1337–1347