Title of article
On the construction of frames for spaces of distributions
Author/Authors
George Kyriazis، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
29
From page
2159
To page
2187
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.
© 2009 Elsevier Inc. All rights reserved.
Keywords
frames , Spaces of distributions , Perturbations , Triebel–Lizorkin spaces on the sphere , Besov spaces on thesphere
Journal title
Journal of Functional Analysis
Serial Year
2009
Journal title
Journal of Functional Analysis
Record number
839993
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