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arXiv · 2011.13697

Unconditional bases for homogeneous $\alpha$-modulation type spaces

Morten Nielsen
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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.

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Morten Nielsen. 2020-11-27. Unconditional bases for homogeneous $\alpha$-modulation type spaces. https://arxiv.org/abs/2011.13697

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