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This paper determines the exact relationships that hold among the major Paley–Wiener perturbation theorems for frame sequences. It is shown that major properties of a frame sequence such as excess, deficit, and rank remain invariant under Paley–Wiener perturbations , but need not be preserved by compact perturbations. For localized frames, which are frames(More)
This paper uses frame techniques to characterize the Schatten class properties of integral operators. The main result shows that if the coefficients {k, Φ m,n } of certain frame expansions of the kernel k of an integral operator are in ℓ 2,p , then the operator is Schatten p-class. As a corollary, we conclude that if the kernel or Kohn-Nirenberg symbol of a(More)
This paper surveys recent results on frame sequences. The first group of results characterizes the relationships that hold among various types of dual frame sequences. The second group of results characterizes the relationships that hold among the major Paley–Wiener perturbation theorems for frame sequences, and some of the properties that remain invariant(More)
Content: Processing and analysis of 2002 samples will be completed and the results will be summarized in a multi-page progress report that will be submitted to the MnDNR. Results from all data collected will be analyzed and interpreted. 1 Biological Control of Eurasian watermilfoil May '03 Newman Introduction Eurasian watermilfoil (Myriophyllum spicatum L.)(More)
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