Remarkable Haar spaces of multivariate piecewise polynomials

Abstract

Some families of Haar spaces in ℝ d , d ≥ 1 , $\mathbb {R}^{d},~ d\ge 1,$ whose basis functions are d-variate piecewise polynomials, are highlighted. The starting point is a sequence of univariate piecewise polynomials, called Lobachevsky splines, arised in probability theory and asymptotically related to the normal density function. Then, it is shown that… (More)
DOI: 10.1007/s11075-017-0394-x

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Cite this paper

@article{Allasia2017RemarkableHS, title={Remarkable Haar spaces of multivariate piecewise polynomials}, author={Giampietro Allasia}, journal={Numerical Algorithms}, year={2017}, pages={1-12} }