Sufficient Conditions for Fredholmness of Singular Integral Operators with Shifts and Slowly Oscillating Data |
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| Authors: | Alexei Yu. Karlovich Yuri I. Karlovich Amarino B. Lebre |
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| Affiliation: | 1.Departamento de Matemática, Faculdade de Ciências e Tecnologia,Universidade Nova de Lisboa,Caparica,Portugal;2.Facultad de Ciencias,Universidad Autónoma del Estado de Morelos,Cuernavaca,México;3.Departamento de Matemática, Instituto Superior Técnico,Universidade Técnica de Lisboa,Lisboa,Portugal |
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| Abstract: | Suppose α is an orientation preserving diffeomorphism (shift) of mathbbR+=(0,￥){{mathbb{R}}_+=(0,infty)} onto itself with the only fixed points 0 and ∞. We establish sufficient conditions for the Fredholmness of the singular integral operator with shift | (aI-bWa)P++(cI-dWa)P-(aI-bW_alpha)P_++(cI-dW_alpha)P_- |
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