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
Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix / Charina M; Conti C; Romani L. - In: NUMERISCHE MATHEMATIK. - ISSN 0029-599X. - STAMPA. - 127:2(2014), pp. 223-254. [10.1007/s00211-013-0587-8]
Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix
Romani L
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 examplesI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
