Resonant Raman studies of compositional and size dispersion of CdS₁₋ₓSeₓ nanocrystals in a glass matrix

Resonant Raman scattering spectra of glass-embedded CdS₁₋ₓSeₓ nanocrystals are measured and complemented with TEM and optical absorption as well as photoluminescence data. The selectivity of the resonant Raman process not only for the size, but also for the composition of nanocrystals within the ensemble, is directly observed in the dependence of phonon band frequency, linewidth and shape on the excitation wavelength

A Poisson type formula for Hardy classes on Heisenberg's group

The Hardy type class of complex functions with infinite many variables defined on the Schrodinger irreducible unitary orbit of reduced Heisenberg group, generated by the Gauss density, is investigated. A Poisson integral type formula for their analytic extensions on an open ball is established. Taylor coefficients for analytic extensions are described by the associatedsymmetric Fock space

Functional calculus for generators of analytic semigroups of operators

We construct a functional calculus for generators of one-parameter bounded analytic semigroups of operators on a Banach space. The calculus symbol class consist of the Laplace image of the convolution algebra $\cal S'_+$ of tempered distributions with supports in $[0, \infty)$. Domain of constructed calculus is dense in the Banach space

Lorentz type spaces of ultrasmooth vectors of closed operators

Lorentz type spaces of ultrasmooth vectors of closed operators in Banach spaces are defined. Interpolation properties of such spaces are established and their application to the decision of problem of approaching of elements of Banach space is shown different classes of smooth vectors of the closed operator

The traces of the solutions of the semi-linear equations with fractional derivative with respect to time

The sucient conditions of the existence of the generalized initial values of the regularin domain solutions for semi-linear diusion equations under perturbations of the fractional derivative with respect to time are obtained

The traces of the solutions of the semi-linear equations with fractional derivative with respect to time

The sucient conditions of the existence of the generalized initial values of the regularin domain solutions for semi-linear diusion equations under perturbations of the fractional derivative with respect to time are obtained

Resonant Raman studies of compositional and size dispersion of CdS₁₋ₓSeₓ nanocrystals in a glass matrix

Resonant Raman scattering spectra of glass-embedded CdS₁₋ₓSeₓ nanocrystals are measured and complemented with TEM and optical absorption as well as photoluminescence data. The selectivity of the resonant Raman process not only for the size, but also for the composition of nanocrystals within the ensemble, is directly observed in the dependence of phonon band frequency, linewidth and shape on the excitation wavelength