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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…
Operator orbit frames and frame-like Fourier expansions
Chad Berner, Eric S. Weber
Frames in a Hilbert space that are generated by operator orbits are vastly studied because of the applications in dynamic sampling and signal recovery. We demonstrate in this paper…
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…
Frame-like Fourier expansions for finite Borel measures on
Chad Berner
It is known that if a finite Borel measure on possesses a frame of exponential functions for , then is of pure type. In this paper, we prove the existence…