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 n that replace the Euclidean balls and support
a generalization of the theory with fewer limitations.
General
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