Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator

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: YOSHINO,KUNIO
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Materias:
Hermite functions
Daubechies (localization) operator
Borel transform
asymptotic expansion
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300013
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spelling oai:scielo:S0719-064620100003000132018-10-08Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization OperatorYOSHINO,KUNIO Hermite functions Daubechies (localization) operator Borel transform asymptotic expansion 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.3 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300013en10.4067/S0719-06462010000300013
institution Scielo Chile
collection Scielo Chile
language English
topic Hermite functions
Daubechies (localization) operator
Borel transform
asymptotic expansion
spellingShingle Hermite functions
Daubechies (localization) operator
Borel transform
asymptotic expansion
YOSHINO,KUNIO
Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator
description 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.
author YOSHINO,KUNIO
author_facet YOSHINO,KUNIO
author_sort YOSHINO,KUNIO
title Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator
title_short Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator
title_full Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator
title_fullStr Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator
title_full_unstemmed Analytic Continuation and Applications of Eigenvalues of Daubechies' Localization Operator
title_sort analytic continuation and applications of eigenvalues of daubechies' localization operator
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300013
work_keys_str_mv AT yoshinokunio analyticcontinuationandapplicationsofeigenvaluesofdaubechies39localizationoperator
_version_ 1714206769899634688

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