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math.FA2024
Fourier Series for Two-Dimensional Singular-Fibered Measures
Chad Berner, Noah Giddings, John Herr +1
In this paper we study 2D Fourier expansions for a general class of planar measures , generally singular, but assumed compactly supported in . We focus on the foll…
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 Fourier expansions. Our results hold for probability measures with f…