# Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces

Source: [Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces](<https://www.sota2.com/research/paper/68fa56b31e209131ce99f0f5>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T14:18:43.217Z

Authors: N.K. Bliev, K.S. Tulenov

Published: 2019-08-26T08:56:54.000Z

## Abstract

In this paper, we obtain conditions of Noetherian solvability and the Index formula for a singular integral equation with a Cauchy kernel and a Carleman shift in Besov space, which is embedded into the space of continuous functions on a closed Lyapunov contour, but not into the class of functions satisfying H\\"{o}lder condition.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1908.10276>)

[PDF](<https://arxiv.org/pdf/1908.10276.pdf>)