SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS AND THEIR SYMBOLS

DOI10.1070/IM1971v005n04ABEH001127zbMath0248.47025OpenAlexW2030631204MaRDI QIDQ5662491

Israel Gohberg, N. Ya. Krupnik

Publication date: 1972

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1971v005n04abeh001127

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Systems of nonsingular linear integral equations (45F05) Integral equations with kernels of Cauchy type (45E05) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

Local objects in the theory of Toeplitz operators ⋮ On algebras generated by convolutions and discontinuous functions ⋮ Index formula for convolution type operators with data functions in \(\operatorname{alg}(SO,PC)\) ⋮ Singular integral operators with the complex conjugation on curves with cusps ⋮ Emergence, persistence, and disappearance of logarithmic spirals in the spectra of singular integral operators ⋮ Singular integral operators on curves with corners ⋮ A handy formula for the Fredholm index of Toeplitz plus Hankel operators ⋮ A shift-invariant algebra of singular integral operators with oscillating coefficients ⋮ One dimensional singular integral operators on \(L^p\) ⋮ Algebra of singular integral operators with a Carleman backward slowly oscillating shift ⋮ On the spectrum of Hilbert matrix operator ⋮ A singular integral operator related to the one-sided Hilbert transformation ⋮ A contribution to the theory of singular integral equations with Carleman shift ⋮ Submultpilicative fuctions and spectral theory of toeplitz operators ⋮ An inverse for the Gohberg-Krupnik symbol map ⋮ Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights