In this paper we study the monodromy groups of projections of smooth irreducible surfaces in P3 from points. Our particular interest lies in finding whether the monodromy group of a projection πL of a surface from a point L is the whole symmetric group or not. In the former case, we call L uniform, and in the latter case, not uniform. The very same terminology is also used for the whole project...

For the L2-orthogonal projection PV onto spaces of linear splines over simplicial partitions in polyhedral domains in IR, d > 1, we show that in contrast to the one-dimensional case, where ‖PV ‖L∞→L∞ ≤ 3 independently of the nature of the partition, in higher dimensions the L∞-norm of PV cannot be bounded uniformly with respect to the partition. This fact is folklore among specialists in finite...

In this paper, we study the semi-discrete Galerkin finite element method for parabolic equations with Lipschitz continuous coefficients. We prove the maximumnorm stability of the semigroup generated by the corresponding elliptic finite element operator, and prove the space-time stability of the parabolic projection onto the finite element space in L∞(QT ) and L p((0, T ); Lq ( )), 1 < p, q < ∞....

Neurofilaments have been proposed to regulate axonal stability and diameter through changes in number and subunit composition. We have found that pathway and target innervation directly influence the molecular composition of neurofilaments within regenerating optic axons of Xenopus laevis. Immunocytochemistry was used to examine neurofilaments within two abnormal visual pathways. The first was ...

BACKGROUND Nipple creation using the C-V flap technique is often the final step in breast reconstruction. The aim of this study was to subjectively and objectively assess the cosmetic outcomes and satisfaction of patients undergoing C-V flap nipple reconstruction. METHODS Subjective assessments of patient satisfaction with the neo-nipple were recorded by visual analogue scoring (VAS; 0...

A weighted Toeplitz operator on H(β) is defined as Tφf = P (φf) where P is the projection from L(β) onto H(β) and the symbol φ ∈ L(β) for a given sequence β = 〈βn〉n∈Z of positive numbers. In this paper, a matrix characterization of a weighted multiplication operator on L(β) is given and it is used to deduce the same for a weighted Toeplitz operator. The eigenvalues of some weighted Toeplitz ope...

For the L2-orthogonal projection PV onto spaces of linear splines over simplicial partitions in polyhedral domains in Rd, d > 1, we show that in contrast to the one-dimensional case, where ‖PV ‖L∞→L∞ ≤ 3 independently of the nature of the partition, in higher dimensions the L∞-norm of PV cannot be bounded uniformly with respect to the partition. This fact is folklore among specialists in finite...

1.1. Definitions Throughout this paper, λ denotes the Lebesgue measure on C and ωo = dd|z| the Euclidean Kähler form in C, where d = √ −1 4 (∂̄ − ∂). Let φ ∈ C (C) be a function, μ a measure in C, and p ∈ [1,∞). One can define the spaces Lp(e−pφdμ) and F (μ, φ) := Lp(e−pφdμ) ∩ O(C). If the measure μ is Lebesgue measure, we simply write F (λ, φ) =: F (φ). Similarly one can define L∞(e−φ, μ) = {f ...