Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415266 | Journal of Functional Analysis | 2009 | 29 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
George Kyriazis, Pencho Petrushev,