Spectral properties of generalized Cesàro operators on Hardy and weighted Bergman spaces

We investigate spectral properties of integral operators of the form

Riemann existence theorems of Mumford type

Riemann Existence Theorems for Galois covers of Mumford curves by Mumford curves are stated and proven. As an application, all finite groups are realised as full automorphism groups of Mumford curves in characteristic zero.     

Palladium assisted synthesis of 1-azaspirocycles

A facile, general route to 1-azaspirocycles utilizing a π-allyl palladium complex in the key cyclization step has been developed.     

The Hardy classes for functions in the class MV[α, k]

Suppose that f(z) = z + a₂z² + ··· + a_nz_n + ··· is regular in the unit disc $\text{D}\text{with}\text{[f(z) f′}\text{(z)}\text{z] ≠ 0}\text{in}\text{D}$, and further let α ? 0 and k ? 2. If $\text{∝}{}^{\mathrm{2\pi }}{}_{\mathrm{o}}\text{¦}\text{Re}\text{{(1 ? α)z[}\text{f′(z)}\text{f(z)}\text{] + α(1 + z[}\text{f″(z)}\text{f′(z)}\text{])}¦ dθ ? kπ}\text{for}\text{z ? D}$, then f(z) is said to belong to the class MV[α, k]. This class contains many of the special classes of regular and univalent functions. The authors determine the Hardy classes of which f(z), f′(z) and f″(z) belong and obtain growth estimates of a_n.     

Laser-induced flourescence spectra of YAG-laser vaporized Se2

Rotationally resolved, laser-induced fluorescence spectra of Se₂, cooled to near liquid-N₂ temperature after YAG-laser vaporization of selenium, have been observed. Molecular constants have been obtained for a new O_u state of Se₂. It, along with a l_u component, likely derives from a ³N_u state which has previously been identified as responsible for perturbations of B³Σ^?_uSe₂     

Magnetische Kernresonanz- und «Molecular Orbital»- untersuchungen über die struktur von MEISENHEIMER-komplexen 8. Mitteilung über nucleophile aromatische Substitutionsreaktionen [1]

(1) The NMR. spectra of the stable methoxide addition complexes of 2,4-dinitro-, 2,4,6-trinitro- and 2,4-dinitro-6-cyano-anisole, and the intramolecular (spiro) reaction product of 1-(2′-hydroxyethoxy)-2,4,6-trinitrobenzene demonstrate that these products are MEISENHEIMER (σ?) complexes (addition of base in position 1).     

Introduction to a theory of coups

A model is proposed for describing changes in power structures, such as might characterize political coups. A power structure is seen as a set of people or groupings of people, partially ordered by a relation of dominance with respect to which it has a highest member, and having other natural properties; and a coup in the power structure occurs when a subset of it containing the highest member is removed. The theory is a branch of combinatories of finite lattices, and makes contact with the notion of alignment.     

Commutants of nest algebras modulo the compact operators

Any operatorx which commutes modulo the compact operators with a nest algebra is of the form λI+C, where λ is a scalar andC is a compact operator. Any derivation from a nest algebra on a Hilbert spaceH into the compact operators onH is implemented by a compact operator. Any derivation on a quasitriangular operator algebra is inner.     

Low-cycle fatigue in welds

Hour-glass-shaped specimens were made from ASTM A-516, grade 55, steel plates which had been welded together. The specimens were manufactured so that the weld material was at the minimum section. The specimens were strain cycled about zero mean strain and the results were compared with tests conducted on specimens taken from the parent material. When the total strain range vs. cycles to failure was plotted on log-log coordinates, the curves for both the welded and parent-material specimens had nearly the same slope; however, the curve for the welded specimens was displaced downward from that of the parent material. Thus, for a given strain range, the parentmaterial specimens had lives approximately six times greater than the welded specimens. Two-level cumulative-damage tests on the welded specimens indicate that using Σn/N=1.0 is reasonably accurate.