Pointwise Variable Anisotropic Function Spaces on ℝⁿ

Beschreibung

Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of fl exible ellipsoid covers of ℝn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.

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Shai Dekel

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Anisotrop Funktionsraum Anisotropic spaces Euclidean space theory of local approximation multivariate algebraic polynomials

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