Necessary conditions for the existence of multivariate multiscaling functions

In this paper we outline the main ideas behind the recent proof of the authors that if a multivariate, multi-function refinement equation with an arbitrary dilation matrix has a continuous, compactly supported solution which has independent lattice translates, then the joint spectral radius of certa...

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Guardado en:
Detalles Bibliográficos
Publicado: 2000
Materias:
Joint spectral radius
Multiresolution analysis
Multiwavelets
Refinement equations
Tiles
Wavelets
Algorithms
Boundary conditions
Convergence of numerical methods
Fractals
Function evaluation
Matrix algebra
Set theory
Theorem proving
Vectors
Multivariate multiscaling functions
Wavelet transforms
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v4119_n1_p395_Cabrelli
http://hdl.handle.net/20.500.12110/paper_0277786X_v4119_n1_p395_Cabrelli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0277786X_v4119_n1_p395_Cabrelli
record_format dspace
spelling paper:paper_0277786X_v4119_n1_p395_Cabrelli2023-06-08T15:26:11Z Necessary conditions for the existence of multivariate multiscaling functions Joint spectral radius Multiresolution analysis Multiwavelets Refinement equations Tiles Wavelets Algorithms Boundary conditions Convergence of numerical methods Fractals Function evaluation Matrix algebra Set theory Theorem proving Vectors Joint spectral radius Multiresolution analysis Multivariate multiscaling functions Refinement equations Tiles Wavelet transforms In this paper we outline the main ideas behind the recent proof of the authors that if a multivariate, multi-function refinement equation with an arbitrary dilation matrix has a continuous, compactly supported solution which has independent lattice translates, then the joint spectral radius of certain matrices restricted to an appropriate subspace is strictly less than one. © 2000 SPIE--The International Society for Optical Engineering. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v4119_n1_p395_Cabrelli http://hdl.handle.net/20.500.12110/paper_0277786X_v4119_n1_p395_Cabrelli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Joint spectral radius
Multiresolution analysis
Multiwavelets
Refinement equations
Tiles
Wavelets
Algorithms
Boundary conditions
Convergence of numerical methods
Fractals
Function evaluation
Matrix algebra
Set theory
Theorem proving
Vectors
Joint spectral radius
Multiresolution analysis
Multivariate multiscaling functions
Refinement equations
Tiles
Wavelet transforms
spellingShingle Joint spectral radius
Multiresolution analysis
Multiwavelets
Refinement equations
Tiles
Wavelets
Algorithms
Boundary conditions
Convergence of numerical methods
Fractals
Function evaluation
Matrix algebra
Set theory
Theorem proving
Vectors
Joint spectral radius
Multiresolution analysis
Multivariate multiscaling functions
Refinement equations
Tiles
Wavelet transforms
Necessary conditions for the existence of multivariate multiscaling functions
topic_facet Joint spectral radius
Multiresolution analysis
Multiwavelets
Refinement equations
Tiles
Wavelets
Algorithms
Boundary conditions
Convergence of numerical methods
Fractals
Function evaluation
Matrix algebra
Set theory
Theorem proving
Vectors
Joint spectral radius
Multiresolution analysis
Multivariate multiscaling functions
Refinement equations
Tiles
Wavelet transforms
description In this paper we outline the main ideas behind the recent proof of the authors that if a multivariate, multi-function refinement equation with an arbitrary dilation matrix has a continuous, compactly supported solution which has independent lattice translates, then the joint spectral radius of certain matrices restricted to an appropriate subspace is strictly less than one. © 2000 SPIE--The International Society for Optical Engineering.
title Necessary conditions for the existence of multivariate multiscaling functions
title_short Necessary conditions for the existence of multivariate multiscaling functions
title_full Necessary conditions for the existence of multivariate multiscaling functions
title_fullStr Necessary conditions for the existence of multivariate multiscaling functions
title_full_unstemmed Necessary conditions for the existence of multivariate multiscaling functions
title_sort necessary conditions for the existence of multivariate multiscaling functions
publishDate 2000
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v4119_n1_p395_Cabrelli
http://hdl.handle.net/20.500.12110/paper_0277786X_v4119_n1_p395_Cabrelli
_version_ 1768542551003889664

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