8th International Conference on
Computational Harmonic Analysis

September 12-16, 2022

Ingolstadt, Germany

"Weaving frames linked with fractal convolutions"

Verma, Geetika

Weaving frames have been introduced to deal with some problems in signal processing and wireless sensor networks. More recently, the notion of fractal operator and fractal convolutions have been linked with perturbation theory of Schauder bases and frames. However, the existing literature has established limited connections between the theory of fractals and frame expansions. This article will present that the fractal operators combined with fractal convolutions together can be used to generate Weaving frames. The aim is to demonstrate how partial fractal convolutions are associated to Riesz bases, frames and the concept of Weaving frames. The current view point deals with ones sided convolutions i.e both left and right partial fractal convolution operators on L^p spaces.

« back