We study scalar multivariate non-stationary subdivision schemes with a general integer dilation matrix. We characterize the capability of such schemes to reproduce exponential polynomials in terms of simple algebraic conditions on their symbols. These algebraic conditions provide a useful theoretical tool for checking the reproduction properties of existing schemes and for constructing new schemes with desired reproduction capabilities and other enhanced properties. We illustrate our results with several examples

Charina, M., Conti, C., Romani, L. (2014). Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix. NUMERISCHE MATHEMATIK, 127(2), 223-254 [10.1007/s00211-013-0587-8].

Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix

ROMANI, LUCIA
2014

Abstract

We study scalar multivariate non-stationary subdivision schemes with a general integer dilation matrix. We characterize the capability of such schemes to reproduce exponential polynomials in terms of simple algebraic conditions on their symbols. These algebraic conditions provide a useful theoretical tool for checking the reproduction properties of existing schemes and for constructing new schemes with desired reproduction capabilities and other enhanced properties. We illustrate our results with several examples
Articolo in rivista - Articolo scientifico
Non-stationary multivariate subdivision schemes, reproduction and generation of exponential polynomials, algebraic conditions on subdivision symbols, subdivision parametrization
English
2014
127
2
223
254
open
Charina, M., Conti, C., Romani, L. (2014). Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix. NUMERISCHE MATHEMATIK, 127(2), 223-254 [10.1007/s00211-013-0587-8].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/48889
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