Some Properties of a Singular Integral Equation with Non-Carleman Shift


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We study the distribution of roots of the function W(z) = 1−λlz cot(πz), z ∈ C, where l ∈ (0, 1) and λ ∈ C are parameters. The results are applied to the problem on the solvability and number of solutions of a singular integral equation in various function spaces.

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A. Polosin

Lomonosov Moscow State University

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Email: alexei-polosin@mail.ru
俄罗斯联邦, Moscow, 119991

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