# Sufficient Conditions for Fredholmness of Singular Integral Operators with Shifts and Slowly Oscillating Data - Mathematics > Functional Analysis

Abstract: Suppose $\alpha$ is an orientation preserving diffeomorphism shift of$\mR +=0,\infty$ onto itself with the only fixed points $0$ and $\infty$. Weestablish sufficient conditions for the Fredholmness of the singular integraloperator \ aI-bW \alphaP ++cI-dW \alphaP - \ acting on $L^p\mR +$ with\$1

Author: Alexei Yu. Karlovich, Yuri I. Karlovich, Amarino B. Lebre

Source: https://arxiv.org/