Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator
In this paper we introduce generating functions of eigenvalues of Daubechies' localization operator, study their analytic properties and give analytic continuation of these eigenvalues. Making use of generating functions, we establish a reconstruction formula of symbol functions of Daubechie...
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Autor principal: | |
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Lenguaje: | English |
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2010
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Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300013 |
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Sumario: | In this paper we introduce generating functions of eigenvalues of Daubechies' localization operator, study their analytic properties and give analytic continuation of these eigenvalues. Making use of generating functions, we establish a reconstruction formula of symbol functions of Daubechies' localization operator with rotational invariant symbols. |
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