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Compact composition operators and iteration

Let $\Omega$ be a domain in the complex plane, $\phi$ an analytic map that maps $\Omega$ into itself, and $X$ an $F$-space of analytic functions in $\Omega$ that possesses certain mild regularity properties. (Some examples considered in the paper are Hardy spaces, Bergman spaces, and the space of all analytic functions in $\Omega$.) If composition with $\phi$ defines a compact operator on $X$ that

CGRP blockers in migraine therapy: where do they act?

Calcitonin gene-related peptide (CGRP) is expressed throughout the CNS and peripheral nervous system, consistent with control of vasodilatation, nociception, motor function, secretion and olfaction. alphaCGRP is prominently localized in primary afferent C and Adelta fibres of spinal and trigeminal ganglia. Activation of the trigeminal nerve results in antidromic release of CGRP, acting through a C

Debris Elimination In A Droplet-target Laser-plasma Soft-x-ray Source

A tabletop high-brightness line-emitting laser-plasma soft xray source utilizing single microscopic droplets as target is shown to produce several orders of magnitude less debris than conventional-target sources. Quantitative measurements of debris deposition rates and x-ray flux, at different directions around the droplet plasma are presented. With ethanol droplets and a. 10 Hz. 70 mJ/pulse laser

Age estimation of wild boar (Sus scrofa) based on molariform mandibular tooth development and its application to seasonality at the Mesolithic site of Ringkloster

The molariform mandibular tooth development in wild boar has been described in order to increase the reliability and precision in age estimation. The age at eight different stages of tooth development has been determined based on radiographs of 114 mandibles. The method is applied to estimate age of death in 53 mandibles of juvenile wild boar and seasonality at the Late Mesolithic site of Ringklos