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Quantitative Risk Assessment (QRA) is a methodology used to organize and analyze scientific information to estimate the probability and severity of an adverse event. Applied to microbial food safety, the methodology can also help to identify those stages in the manufacture, distribution, handling, and consumption of foods that contribute to an increased(More)
Computed tomography (CT) applications continue to expand, and they require faster data acquisition speeds and improved spatial resolution. Achieving isotropic resolution, by means of cubic voxels, in combination with longitudinal coverage beyond 20 mm would represent a substantial advance in clinical CT because few commercially available scanners are(More)
In this paper, we study the matrix representations of compressions of Toeplitz operators to the finite dimensional model spaces H 2 BH 2 , where B is a finite Blaschke product. In particular, we determine necessary and sufficient conditions-in terms of the matrix representation-of when a linear transformation on H 2 BH 2 is the compression of a Toeplitz(More)
The classical embedding theorem of Carleson deals with finite positive Borel measures µ on the closed unit disk for which there exists a positive constant c such that f L 2 (µ) ≤ cf H 2 for all f ∈ H 2 , the Hardy space of the unit disk. Lefèvre et al. examined measures µ for which there exists a positive constant c such that f L 2 (µ) ≥ cf H 2 for all f ∈(More)
A truncated Toeplitz operator Aϕ : K Θ → K Θ is the compression of a Toeplitz operator Tϕ : H 2 → H 2 to a model space K Θ := H 2 ⊖ ΘH 2. For Θ inner, let T Θ denote the set of all bounded truncated Toeplitz operators on K Θ. Our main result is a necessary and sufficient condition on inner functions Θ 1 and Θ 2 which guarantees that T Θ 1 and T Θ 2 are(More)
In this expository paper, we wish to survey both past and current work on the space of Cauchy transforms on the unit circle. By this we mean the collection K of analytic functions on the open unit disk D = {z ∈ C : |z| < 1} that take the form (1.1) (Kµ)(z) := dµ(ζ) 1 − ζz , where µ is a finite, complex, Borel measure on the unit circle T = ∂D. Our(More)
Unlike Toeplitz operators on H 2 , truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically. In this note we provide criteria for a matrix with distinct eigenvalues to be unitarily equivalent to a truncated Toeplitz operator having an analytic symbol. This test is(More)