Weighted Fourier frames on fractal measures
Dorin Ervin Dutkay, Rajitha Ranasinghe
TL;DR
This paper develops a method to construct weighted exponential function frames, called Parseval frames, for self-affine measures, extending previous work to a broader class of fractal measures.
Contribution
It generalizes existing techniques to create weighted Fourier frames on fractal measures, broadening their applicability.
Findings
Constructed Parseval frames for self-affine measures.
Extended Fourier frame theory to fractal measures.
Provided new tools for analysis on fractals.
Abstract
We generalize an idea of Picioroaga and Weber to construct Paseval frames of weighted exponential functions for self-affine measures.
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