2013/09/02 by Enrico Au-Yeung, Au-Yeung, Enrico, John J. Benedetto +1
Computer Science · Mathematics · #Digital Filter Design and Implementation #FOS: Mathematics #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #math.FA
paper · pdf · doi:10.48550/arxiv.1309.0539
arxiv created 2013/09/02 · openalex publication_date 2013/09/02 · arxiv updated 2013/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using his formulation of the potential theoretic notion of balayage and his deep results about this idea, Beurling gave sufficient conditions for Fourier frames in terms of balayage. The analysis makes use of spectral synthesis, due to Wiener and Beurling, as well as properties of strict multiplicity, whose origins go back to Riemann. In this setting and with this technology, we formulate and prove non-uniform sampling formulas in the context of the short time Fourier transform (STFT).