Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix
نویسندگان
چکیده
منابع مشابه
Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix
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 sche...
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We study multivariate trigonometric polynomials satisfying the “sum-rule” conditions of a certain order. Based on the polyphase representation of these polynomials relative to a general dilation matrix, we develop a simple constructive method for a special type of decomposition of such polynomials. These decompositions are of interest in the analysis of convergence and smoothness of multivariat...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2013
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-013-0587-8