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math.CA2013
Elliptic scaling functions as compactly supported multivariate analogs of the B-splines
Victor G. Zakharov
In the paper, we present a family of multivariate compactly supported scaling functions, which we call as elliptic scaling functions. The elliptic scaling functions are the convolu…
math.CA2013
Polynomial spaces reproduced by elliptic scaling functions
Victor G. Zakharov
The Strang-Fix conditions are necessary and sufficient to reproduce spaces of algebraic polynomials up to some degree by integer shifts of compactly supported functions. W. Dahmen…