Titlebook: Convolution Equations and Singular Integral Operators; Selected Papers Leonid Lerer,Vadim Olshevsky,Ilya M. Spitkovsky Book 2010 Birkhäuser

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Matrix Integral Operators on a Finite Interval with Kernels Depending on the Difference of the ArguBy ..(0, τ) (1≤ . ≤ ∞, 0 < τ < ∞) denote the Banach space of the vector functions . = {.., .., ..., ..} with entries .. ∈ ..(0, τ) and the norm

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The Spectrum of Singular Integral Operators in ,, Spaces,First, we shall consider the simplest class of one-dimensional singular integral operators — the class of discrete Wiener-Hopf operators.

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On an Algebra Generated by the Toeplitz Matrices in the Spaces ,,,Let .. (1<.<∞) be the Banach Hardy space of all functions ϕ(ζ) that are analytic inside the circle |ζ|=1 with the norm

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One-dimensional Singular Integral Operators with Shift,Let Г be a closed or open oriented Lyapunov arc and ω(.) be a bijective mapping of Г onto itself. An operator of the form . is usually called a . ω(.). Here .(.), .(.), .(.), and .(.) are bounded measurable functions on Г, . is the operator of singular integration along Г given by . and . is the shift operator defined by

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