Anisotropic function spaces with applications

Shai Dekel () and Pencho Petrushev ()
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Shai Dekel: GE Healthcare
Pencho Petrushev: University of South Carolina, Department of Mathematics

A chapter in Multiscale, Nonlinear and Adaptive Approximation, 2009, pp 137-167 from Springer

Abstract: Abstract In this survey we review the recently developed theory of anisotropic spaces and representations of functions based on anisotropic multilevel ellipsoid covers (dilations) of ℝ n . We also exhibit the relations of the ellipsoid cover approach to earlier concepts of anisotropic structures as well as to the framework of general spaces of homogeneous type. A number of open problems are presented and discussed.

Keywords: Besov Space; Nonlinear Approximation; Wavelet Frame; Homogeneous Type; Anisotropic Space (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-03413-8_5

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DOI: 10.1007/978-3-642-03413-8_5

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