On the frames by multiplication and irregular frames of translates on LCA groups

Author(s):

N.S. Seyedi , M. Mortazavizadeh , R. A. Kamyabi Gol *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

Let X be a measure space and let E be a measurable subset of X with finite positive measure. In this paper, we investigate frame and Riesz basis properties of a family of functions multiplied by another measurable function in L 2 (E). Also, we study the equivalent conditions for a system of translates to be a Bessel family in L 2 (G) and to be a frame for PE (the space of the band limited functions). Finally, we study the properties of frames of translates that preserved by convolution.

Keywords:

locally compact abelian group , frame by multiplication , irregular frame of translates

Language:
English
Published:
Wavelets and Linear Algebra, Volume:8 Issue: 1, Spring and Summer 2021
Pages:
7 to 16
https://www.magiran.com/p2408473