Kozek, W.; Pfander, G. E. Identification of operators with bandlimited symbols. (English) Zbl 1141.42020 SIAM J. Math. Anal. 37, No. 3, 867-888 (2005). Underspread and overspread operators are time-varying Hilbert-Schmidt operators acting on a space of \(d\)-dimensional signals. The corresponding kernels are \(2d\)-dimensional. The operator can be identified based on observations of its action on a specified signal, together with the knowledge that the operator belongs to a special class. In the paper, a classical conjecture concerning the necessity of the underspread condition for the identifiability of certain operator classes is proved. Reviewer: Ole Christensen (Lyngby) Cited in 26 Documents MSC: 42C15 General harmonic expansions, frames 47G10 Integral operators 81S05 Commutation relations and statistics as related to quantum mechanics (general) Keywords:Hilbert-Schmidt operators; Gabor frame operators; Kohn-Nirenberg symbol PDFBibTeX XMLCite \textit{W. Kozek} and \textit{G. E. Pfander}, SIAM J. Math. Anal. 37, No. 3, 867--888 (2005; Zbl 1141.42020) Full Text: DOI