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Using the orthonormality of the 2D-Zernike polynomials reproducing kernels, reproducing kernel Hilbert spaces and ensuing coherent states are attained. With the aid of the so obtained coherent states the complex unit disc is quantized. Associated upper symbols, lower symbols and related generalized ...
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A theoretical study of the electronic structure of the (111) surfaces of CoSi2 and NiSi2 and their interfaces with Si has been carried out with particular attention paid to the existence of localized states. A Green function method has been used within the empirical tight-binding approximation to ca...
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An algebra A is homogeneous if the automorphism group of A acts transitively on the one dimensional subspaces of A. Suppose A is a homogeneous algebra over an infinite field k. Let L-a denote left mulfiplication by any nonzero element a is an element of A. Several results are proved concerning the s...
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A brief overview is given of the theory of surface-ion neutralization (SIN) by highlighting studies from the pioneering days to the present time. Emphasis is placed on the 1-electron time-dependent Newns-Anderson (TDNA) model, which has played such a key role in studying resonance charge transfer. R...
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In many scientific disciplines, measurements are taken from films that have been exposed to energetic sources. Examples include radiographs where the source is an X-ray tube, autoradiography where the source is a radioactive isotope and electrophoresis gels where the source is an enhanced chemilumin...
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We construct an irreducible multiplicative semigroup of non-negative square-zero operators acting on L-P[0, 1), for 1 less than or equal to p < infinity.
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In [M.R. Burke, Large entire cross-sections of second category sets in Rn+1Rn+1, Topology Appl. 154 (2007) 215–240], a model was constructed in which for any everywhere second category set A⊆Rn+1A⊆Rn+1 there is an entire function f:Rn→Rf:Rn→R which cuts a large section through A in the sen...
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Question: Does fluctuating natural selection on body size of fish among years (balancing selection) influence the frequency of an alternative male reproductive tactic? Hypothesis: When the surviving juveniles of a cohort are larger because of selection, a higher proportion of the population will dev...
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This paper continues the investigation begun in [M.R. Burke, Topology Appl. 129 (2003) 29-65] into the measurability properties of separately continuous functions. We sharpen several results from that paper. (1) If X is any product of countably compact Dedekind complete linearly ordered spaces, then...
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