Email this article Some Properties of a Singular Integral Equation with Non-Carleman Shift
- Authors: Polosin A.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 54, No 3 (2018)
- Pages: 417-418
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/154722
- DOI: https://doi.org/10.1134/S0012266118030138
- ID: 154722
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Abstract
We study the distribution of roots of the function W(z) = 1−λl−z 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.
About the authors
A. A. Polosin
Lomonosov Moscow State University
Author for correspondence.
Email: alexei-polosin@mail.ru
Russian Federation, Moscow, 119991
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