In this paper, we study 2-complex symmetric composition operators with the conjugation J, defined by Jf(z)=(f(z¯))¯, on Hardy space H2. More precisely, obtain necessary and sufficient condition for operator Cϕ to be J when ϕ is an automorphism of D. We also characterize a linear fractional self-map

A novel method for forming pure helical laser beams of pre-determined helicity is presented. It is mainly based on replacing one of the laser mirrors with a spiral phase element. The basic principles along with experimental results using a CO laser are described. q 2000 Elsevier Science B.V. All rights reserved. 2 PACS: 41.85.Ct; 41.85.Ew; 42.60.Jf; 42.60.Da

Let us assume k (−1) 3 min Î→1 x ( 1 e , . . . ,−0 ) ± cosh−1 ( 1 2 ) > T̄ ( −i,א−5 0 ) −1 + e ∧ log ( 1 e ) . Every student is aware that ‖I‖ = jF,n. We show that h ,y ≥ 1. Moreover, here, compactness is obviously a concern. In this setting, the ability to classify independent homeomorphisms is essential.

We demonstrate a simple and compact laser source that directly produces a Bessel–Gauss beam. The laser resonator consists of a diode-end-pumped Nd:YAG crystal, a planar mirror, and a diffractive mirror designed to phase-conjugate only the lowest-order Bessel–Gauss beam. 2004 Elsevier B.V. All rights reserved. PACS: 42.55.Xi; 42.60.Jf; 42.25.Fx

Saskia M Wilting ([email protected]) Serge J Smeets ([email protected]) Peter JF Snijders ([email protected]) Wessel N van Wieringen ([email protected]) Mark A van de Wiel ([email protected]) Gerrit A Meijer ([email protected]) Bauke Ylstra ([email protected]) C René Leemans ([email protected]) Chris JLM Meijer ([email protected]) Ruud H Brakenhoff ([email protected]) Boudewijn JM Braakhu...

BACKGROUND AND PURPOSE Jugular foraminal stenosis (JFS) or atresia (JFA) with collateral emissary veins (EV) has been documented in syndromic craniosynostosis. Disruption of EV during surgery can produce massive hemorrhage. Our purpose was to describe the prevalence of prominent basal emissary foramina (EF), which transmit enlarged EV, in syndromic craniosynostosis. Our findings were correlated...

Large classes of signals exhibit a very irregular behavior. In the most complicated situations this irregular behavior may follow different regimes, and can switch from one regime to another almost instantaneously. This is obviously the case for recordings of speech signals; precise recordings of turbulence data (which became available at the beginning of the 80’s) show that turbulence also fal...

AIMS Craniospinal irradiation (CSI) remains a crucial treatment for patients with medulloblastoma. There is uncertainty about how to manage meningeal surfaces and cerebrospinal fluid (CSF) that follows cranial nerves exiting skull base foramina. The purpose of this study was to assess plan quality and dose coverage of posterior cranial fossa foramina with both photon and proton therapy. MATER...