A construction of multiscaling functions for deficient spline spaces

In this work we attempt to analize the structure of the classes of deficient spline functions, that is, the ones generated by traslations on the integers of the truncated power functions. Since these classes are correlated with multiresolution structures, the main pourpose of this presentation is to...

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Detalles Bibliográficos
Autores principales:	Serrano, Eduardo Pedro, Cammilleri, Ada Leonor
Publicado:	2005
Materias:	Multiresolution analysis Multiscaling functions Piecewise polynomials with multiple knots Vector of refinable spline functions Fourier transforms Integer programming Polynomials Vectors Functions
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5914_n_p1_Serrano http://hdl.handle.net/20.500.12110/paper_0277786X_v5914_n_p1_Serrano
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_0277786X_v5914_n_p1_Serrano
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spelling	paper:paper_0277786X_v5914_n_p1_Serrano2023-06-08T15:26:26Z A construction of multiscaling functions for deficient spline spaces Serrano, Eduardo Pedro Cammilleri, Ada Leonor Multiresolution analysis Multiscaling functions Piecewise polynomials with multiple knots Vector of refinable spline functions Multiresolution analysis Multiscaling functions Vector of refinable spline functions Fourier transforms Integer programming Polynomials Vectors Functions In this work we attempt to analize the structure of the classes of deficient spline functions, that is, the ones generated by traslations on the integers of the truncated power functions. Since these classes are correlated with multiresolution structures, the main pourpose of this presentation is to design vector scaling functions, with minimal support. For this, we do not apply Fourier techinques, but elemental properties of the truncated power functions. The double - scale or refinement relationship is demonstrated again from the autosimilarity property of these functions. Fil:Serrano, E.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Cammilleri, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5914_n_p1_Serrano http://hdl.handle.net/20.500.12110/paper_0277786X_v5914_n_p1_Serrano
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Multiresolution analysis Multiscaling functions Piecewise polynomials with multiple knots Vector of refinable spline functions Multiresolution analysis Multiscaling functions Vector of refinable spline functions Fourier transforms Integer programming Polynomials Vectors Functions
spellingShingle	Multiresolution analysis Multiscaling functions Piecewise polynomials with multiple knots Vector of refinable spline functions Multiresolution analysis Multiscaling functions Vector of refinable spline functions Fourier transforms Integer programming Polynomials Vectors Functions Serrano, Eduardo Pedro Cammilleri, Ada Leonor A construction of multiscaling functions for deficient spline spaces
topic_facet	Multiresolution analysis Multiscaling functions Piecewise polynomials with multiple knots Vector of refinable spline functions Multiresolution analysis Multiscaling functions Vector of refinable spline functions Fourier transforms Integer programming Polynomials Vectors Functions
description	In this work we attempt to analize the structure of the classes of deficient spline functions, that is, the ones generated by traslations on the integers of the truncated power functions. Since these classes are correlated with multiresolution structures, the main pourpose of this presentation is to design vector scaling functions, with minimal support. For this, we do not apply Fourier techinques, but elemental properties of the truncated power functions. The double - scale or refinement relationship is demonstrated again from the autosimilarity property of these functions.
author	Serrano, Eduardo Pedro Cammilleri, Ada Leonor
author_facet	Serrano, Eduardo Pedro Cammilleri, Ada Leonor
author_sort	Serrano, Eduardo Pedro
title	A construction of multiscaling functions for deficient spline spaces
title_short	A construction of multiscaling functions for deficient spline spaces
title_full	A construction of multiscaling functions for deficient spline spaces
title_fullStr	A construction of multiscaling functions for deficient spline spaces
title_full_unstemmed	A construction of multiscaling functions for deficient spline spaces
title_sort	construction of multiscaling functions for deficient spline spaces
publishDate	2005
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5914_n_p1_Serrano http://hdl.handle.net/20.500.12110/paper_0277786X_v5914_n_p1_Serrano
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A construction of multiscaling functions for deficient spline spaces

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