IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Anisotropic function spaces with applications


A 2009 Preprint by S. Dekel and P. Petrushev

  • 2009:03
  • 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.

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