Continuous frame in Hilbert space and its applications

African Journal of Mathematics and Computer Science Research

H. K. Das¹ 

DOI  :  10.5897/AJMCSR2018.0749

学科分类：计算机科学（综合）

来源: Academic Journals

【 摘 要 】

In this paper, we study continuous frames in Hilbert spaces using a family of linearly independent vectors called coherent state (CS) and applying it in any physical space. To accomplish this goal, the standard theory of frames in Hilbert spaces, using discrete bases, is generalized to one where the basis vectors may be labeled using discrete, continuous or a mixture of the two types of indices. A comprehensive analysis of such frames is presented and illustrated by the examples drawn from a toy example Sea Star and the affine group.

【 授权许可】

CC BY