Article ID Journal Published Year Pages File Type
6415266 Journal of Functional Analysis 2009 29 Pages PDF
Abstract

We introduce a new method for constructing frames for general distribution spaces and employ it to the construction of frames for Triebel-Lizorkin and Besov spaces on the sphere. Conceptually, our scheme allows the freedom to prescribe the nature, form or some properties of the constructed frame elements. For instance, our frame elements on the sphere consist of smooth functions supported on small shrinking caps.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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