Properties of translates of frames on Vilenkin group

2022/04/18 by Mahapatra, Prasadini, Singh, Divya
#42C15 #42C40 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2205.06248

Abstract

We study the properties based on the space generated by the translates of square integrable function using C-bracket on Vilenkin group. We give the necessary and sufficient condition for frame sequences by the family of translates of the function.

Related

• Frames of translates
• Linear combinations of frame generators in systems of translates
• Zak transform associated with the Weyl transform and the system of twisted translates on R²ⁿ
• Frames generated by compact group actions
• Frames of translates for model sets