On wavelet coorbit spaces associated to different dilation groups

Autor:	Führ, Hartmut, van Velthoven, Jordy Timo, Voigtlaender, Felix
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	This paper develops methods based on coarse geometry for the comparison of wavelet coorbit spaces defined by different dilation groups, with emphasis on establishing a unified approach to both irreducible and reducible quasi-regular representations. We show that the use of reducible representations is essential to include a variety of examples, such as anisotropic Besov spaces defined by general expansive matrices, in a common framework. The obtained criteria yield, among others, a simple characterization of subgroups of a dilation group yielding the same coorbit spaces. They also allow to clarify which anisotropic Besov spaces have an alternative description as coorbit spaces associated to irreducible quasi-regular representations. Comment: To appear in a special volume dedicated to K. Gr\"ochenig
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.08416 Zobrazit plný text záznamu View this record from Arxiv