On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions

Journal of inequalities and applications

Banu ܹ 

关键词: fractional Fourier transform;    fractional wave packet transform;    almost periodic function;    frame;    42A05;    42A38;    44A20;   

DOI  :  10.1186/s13660-017-1402-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic functions using these two transforms. Also a norm equality of this signal is given using the continuous fractional wave packet transform.

【 授权许可】

CC BY