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Unconditional bases for homogeneous $\alpha$-modulation type spaces
- Publication Year :
- 2020
-
Abstract
- In this article we construct orthonormal bases compatible with bi-variate homogeneous $\alpha$-modulation spaces and the associated spaces of Triebel-Lizorkin type. The construction is based on generating a separable $\alpha$-covering and using carefully selected tensor products of univariate brushlet functions with regards to this covering. We show that the associated systems form an unconditional bases for the homogeneous $\alpha$-spaces of Triebel-Lizorkin type.
- Subjects :
- Mathematics - Functional Analysis
42B35, 42C15, 41A17
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2011.13697
- Document Type :
- Working Paper