| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4590570 | Journal of Functional Analysis | 2014 | 13 Pages |
Abstract
We apply the Garnett–Jones distance to the analysis of Schauder bases of translates. A special role is played by periodization functions pψpψ with lnpψ in the closure of L∞L∞ in BMO(T)BMO(T). In particular, for Schauder bases with such periodization functions we study the corresponding coefficient space. We also use the Garnett–Jones distance approach to show the stability of bases of translates with respect to convolution powers. The case of democratic conditional Schauder bases of translates is emphasized, as well.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Morten Nielsen, Hrvoje Šikić,