Singular Integral Operators with Coefficients of a Special Structure Related to Operator Equalities

In our previous works we have constructed operator equalities which transform scalar singular integral operators with shift to matrix characteristic singular integral operators without shift and found some of their applications to problems with shift. In this article the operator equalities are used...

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Detalhes bibliográficos
Autor: Karelin n, Oleksandr
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:México
Recursos:Universidad Autónoma del Estado de Hidalgo
Repositorio:Repostorio Institucional UAEH
OAI Identifier:oai:repository.uaeh.edu.mx:123456789/7974
Acesso em linha:http://repository.uaeh.edu.mx/bitstream/handle/123456789/7974
Access Level:acceso abierto
Palavra-chave:Automatización y Optimización de Sistemas de Mmanufactura
Descrição
Resumo:In our previous works we have constructed operator equalities which transform scalar singular integral operators with shift to matrix characteristic singular integral operators without shift and found some of their applications to problems with shift. In this article the operator equalities are used for the study of matrix characteristic singular integral operators. Conditions for the invertibility of the singular integral operators with orientation preserving shift and coefficients with a special structure generated by piecewise constant functions, t, t1, were found. Conditions for the invertibility of the matrix characteristic singular integral operators with four-val