3 papers
math.FA2026
Continuously Frame-Convertible Sequences
Chad Berner
Frame theory provides a robust method for recovering vectors in a Hilbert space from inner product data, though the associated decomposition formula can be computationally demandin…
math.FA2025
The Kaczmarz Algorithm in Hilbert -modules
Daniel Alpay, Chad Berner, Eric S. Weber
The Kaczmarz algorithm in Hilbert spaces is a classical iterative method for stably recovering vectors from inner product data. In this paper, we extend the algorithm to the settin…
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 fol…