利用下确界余弦角刻画MG对偶框架
A characterization of MG Dual frames using infimum cosine angle
摘要：
本文讨论了$L^2(X; \mathcal H)$上乘法生成框架的对偶框架的构造及其唯一性，其中$X$是$σ$ -有限测度.得到了这种与下确界余弦角相关的非线性的一个充要条件。对于局部紧群（不一定是阿贝尔群）上的双线性生成系统，通过其阿贝尔子群的作用，证明了这个结果。
英文摘要：
This article discusses the construction of dual frames and their uniqueness for the multiplication generated frames on $L^2(X; \mathcal H)$, where $X$ is a $σ$-finite measure. A necessary and sufficient condition of such duals associated to infimum cosine angle is obtained. The result is illustrated for the translation-generated systems on a locally compact group (not necessarily abelian ) by action of its abelian subgroup.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
