Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.1/1112
Título: On the study of the dimension of the kernel of singular integral operators with non-carleman shift using mathematica software
Autor: Marreiros, Rui
Palavras-chave: Singular integral operators
Shift operators
Kernel dimension
Data: 2-Abr-2012
Editora: Instituto Superior Técnico
Resumo: We consider the singular integral operator T=I-cUP_+ : L_2 (T)→L_2 (T), with a non- Carleman shift, where I is the identity operator, c∈C(T) is a continuous matrix function on the unit circle T , U is the isometric shift operator and P_+ is the Cauchy projector. It is supposed that the shift has a finite set of fixed points and the modulus of the function c(t) at the fixed points of the shift is less than one. Under these conditions, an estimate for the dimension of the kernel of the operator T , is obtained. We consider some examples to illustrate and show that the obtained estimate, in a certain sense, is sharp.
Peer review: yes
URI: http://hdl.handle.net/10400.1/1112
Aparece nas colecções:FCT2-Artigos (em revistas ou actas indexadas)

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