Research

In general, I study Fourier series with “frame-like” properties. Recently, I have also studied the Kaczmarz algorithm in the setting of Hilbert C*-modules and general frame theory.

Publications

Alpay, Berner, Weber. The Kaczmarz algorithm in Hilbert C*-modules. Expositiones Mathematicae

Berner, Giddings, Herr, Jorgensen. Fourier series for two-dimensional singular-fibered measures. Journal of Mathematical Analysis and Applications

Berner, Weber. Operator orbit frames and frame-like Fourier expansions. accepted for publication in book series Operator Theory: Advances and Applications

Berner, Herr, Jorgensen, Weber. Fourier series for singular measures in higher dimensions. Journal of Fourier Analysis and Applications

Berner. Frame-like Fourier expansions for finite Borel measures on R. Pure and Applied Functional Analysis

Preprints

Berner. Sequences that do frame reconstruction

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