Weighted Fourier Frames on Self-Affine Measures
Dorin Ervin Dutkay, Rajitha Ranasinghe
TL;DR
This paper develops weighted Fourier frames for self-affine measures, extending previous work to create Parseval frames of exponential functions that facilitate analysis of these fractal measures.
Contribution
It introduces a new construction of weighted Fourier frames specifically tailored for self-affine measures, advancing the harmonic analysis of fractals.
Findings
Constructed Parseval frames of weighted exponential functions.
Extended previous methods to self-affine measures.
Provided tools for harmonic analysis on fractal measures.
Abstract
Continuing the ideas from our previous paper, we construct Parseval frames of weighted exponential functions for self-affine measures.
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