3 papers
math.FA2018
Parseval frames of piecewise constant functions
Dorin Ervin Dutkay, Rajitha Ranasinghe
We present a way to construct Parseval frames of piecewise constant functions for . The construction is similar to the generalized Walsh bases. It is based on iteration o…
math.FA2017
Weighted Fourier Frames on Self-Affine Measures
Dorin Ervin Dutkay, Rajitha Ranasinghe
Continuing the ideas from our previous paper, we construct Parseval frames of weighted exponential functions for self-affine measures.
math.FA2016
Weighted Fourier frames on fractal measures
Dorin Ervin Dutkay, Rajitha Ranasinghe
We generalize an idea of Picioroaga and Weber to construct Paseval frames of weighted exponential functions for self-affine measures.