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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0277786X_v4119_n1_p395_Cabrelli |
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todo:paper_0277786X_v4119_n1_p395_Cabrelli2023-10-03T15:16:16Z Necessary conditions for the existence of multivariate multiscaling functions Cabrelli, C.A. Heil, C. Molter, U.M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Cabrelli, C.A. Heil, C. Molter, U.M. 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. |
| format |
JOUR |
| author |
Cabrelli, C.A. Heil, C. Molter, U.M. |
| author_facet |
Cabrelli, C.A. Heil, C. Molter, U.M. |
| author_sort |
Cabrelli, C.A. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_0277786X_v4119_n1_p395_Cabrelli |
| work_keys_str_mv |
AT cabrellica necessaryconditionsfortheexistenceofmultivariatemultiscalingfunctions AT heilc necessaryconditionsfortheexistenceofmultivariatemultiscalingfunctions AT molterum necessaryconditionsfortheexistenceofmultivariatemultiscalingfunctions |
| _version_ |
1807318188539510784 |