Chad Berner

most citedFrame-like Fourier expansions for finite Borel measures on

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math.FA2024

Fourier series for singular measures in higher dimensions

Chad Berner, John E. Herr, Palle E. T. Jorgensen +1

For multi-variable finite measure spaces, we present in this paper a new framework for non-orthogonal $L^{2}$ Fourier expansions. Our results hold for probability measures $μ$ with f…

math.FA2024★ 1 cited

Frame-like Fourier expansions for finite Borel measures on $R$

Chad Berner

It is known that if a finite Borel measure $μ$ on $[0, 1)$ possesses a frame of exponential functions for $L^{2} (μ)$ , then $μ$ is of pure type. In this paper, we prove the existence…