-
74浏览
-
0点赞
-
0收藏
-
0分享
-
0下载
-
0评论
-
引用
期刊论文
Frames, Riesz bases, and sampling expansions in Banach spaces via semi-inner products
Applied and Computational Harmonic Analysis,2011,31(1):1-25 | 2011年07月01日 | https://doi.org/10.1016/j.acha.2010.09.007
Frames in a Banach space were defined as a sequence in its dual space ⁎ in some recent references. We propose to define them as a collection of elements in by making use of semi-inner products. Classical theory on frames and Riesz bases is generalized under this new perspective. We then aim at establishing the Shannon sampling theorem in Banach spaces. The existence of such expansions in translation invariant reproducing kernel Hilbert and Banach spaces is discussed.
【免责声明】以下全部内容由[张海樟]上传于[2021年03月23日 13时48分57秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。
本学者其他成果
同领域成果