Global convoluted semigroups

Global exponentially bounded convoluted semigroups in Banach spaces are systematically treated with the help of Laplace transform. A perturbation theorem in this context is proved and some characterizations of the introduced class of analytic convoluted semigroups are obtained. Illustrative examples of generators of convoluted semigroups, including differential operators, are presented. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Resolution of the wavefront set via discrete sets

We introduce discrete wave-front sets of sup type and prove that they coincide with the Hörmander wave-front set of a distribution. To that end we recall the notion of admissible lattice pairs and wave-front sets in Fourier-Lebesgue spaces. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Synthesis of substituted fused pyridines, pyrazines and pyrimidines by sequential Ugi/inverse electron demand Diels–Alder transformations

The synthesis of all four regioisomers of fused pyrrolidino-pyridines in a one-pot two-step sequential Ugi-inverse electron demand Diels–Alder reaction is described. Fused pyrrolidino-pyrazines, pyrrolidino-pyrimidines and azepinone pyridines can also be obtained in consecutive synthetic sequences.     

The Quasiasymptotic Expansion at the Origin. Abelian-Type Results for Laplace and Stieltjes Transforms

The notion of quasiasymptotic expansion at the origin of tempered distributions supported by [0, α] and the structural theorem for such distributions that have the quasiasymptotic expansion at the origin are given. As applications, the Abelian-type results for the distributional Stieltjes and Laplace transforms are obtained.     

On the Quasiasymptotic of Schwartz Distributions

The quasiasymptotic of distributions with the supports in (0, ∞) was studied by the Soviet mathematicians Vladimirov, Dro?inov and Zavialov in several papers. Some essential questions on the quasiasymptotic behaviour of Schwartz distributions defined on R are posed and answered in this paper.     

Paper chromatography of metal complexes : Realtionship between the rf and the stabiliiy of metal complexes

It is shown that the R_F values can be related to the stability constants of the corresponding metalligand coördination compounds. The relationship has been applied to prove graphically the stoichiometric identity of two or more complexes formed by paper chromatrography in a given system.     

Synthesis of fused imidazole rings by sequential van Leusen/C-H bond activation

A concise route to access fused imidazole rings employing the van Leusen three-component reaction followed by a Pd/Cu catalyzed intramolecular C-arylation is reported. The reaction was found to be general and the products were formed in moderate to excellent yields using the two-step reaction sequence.     

Division problem and partial differential equations with constant coefficients in Colombeau's space of new generalized functions

We study the problem of division in Colombeau's space of new generalized functions in the associated sense: more precisely we solve the equation of the formF·G _p H with adequate assumptions onF. By using the Fourier transformation we construct, by simple methods, the solution in the p-associated sense of a partial differential equation with constant coefficients.