一大类拟巴拿赫调制空间的 Gabor 分析
泛函分析
2014-09-09 v3
摘要
我们将\cite{GaSa}中的 Gabor 分析推广到一大类调制空间，允许在调制空间拟范数的定义中使用更一般的混合拟范数估计和权函数。对于此类空间，我们推导了其不变性与嵌入性质，并证明其元素允许使用 Gabor 框架进行可重构的序列空间表示。
引用
@article{arxiv.1404.0758,
title = {Gabor analysis for a broad class of quasi-Banach modulation spaces},
author = {Joachim Toft},
journal= {arXiv preprint arXiv:1404.0758},
year = {2014}
}
备注
32 pages. Certain identification results on Fourier Lebesgue and modulation spaces for compactly supported elements is added in the second version. A thorough revision is done in this third version of the paper. arXiv admin note: text overlap with arXiv:1406.3820