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Start Over Author "I. C. Gohberg" Journal mathematics of the ussr-izvestiya
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1. SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS AND THEIR SYMBOLS

Author

I C Gohberg and N J Krupnik

Subjects
Singular integral operators of convolution type, Mathematical analysis, Microlocal analysis, General Medicine, Spectral theorem, Operator theory, Singular integral, Compact operator, Operator norm, Fourier integral operator, Mathematics
Abstract

The algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients is studied. Operators acting on the space Lp with a weight are considered. The contour is assumed to consist of closed and open arcs. The structure of the symbols of the operators considered is elucidated. It is found that the symbol is a matrix-function of the second order depending both on p and on the weight. Criteria that the operator be Fredholm and a formula for its index are established.

Published
1971

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