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Unconditional bases for homogeneous α-modulation type spaces

By M Nielsen

Abstract

In this article we construct orthonormal bases compatible with bi-variate homogeneous α-modulation spaces and the associated spaces of Triebel-Lizorkin type. The construction is based on generating a separable α-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 α-spaces of Triebel-Lizorkin type

Publisher: 'Center for Open Science'
Year: 2020
OAI identifier: oai:pure.atira.dk:publications/d0997827-7272-471b-a7ed-ec64d08b3825
Provided by: VBN
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