Generalized modes of optical fiber logarithmic Reimann surface. The original problem is reduced to a
spectral problem with compact integral
Natural modes of weakly guiding optical fiber logarithmic Reimann surface. The original problem is reduced to a
spectral problem with compact integral
Numerical method for calculation of the generalized natural modes of an inhomogeneous optical fiber nonlinear
spectral problem with Fredholm integral operator.
Theorem on spectrum localization is proved
The generalized monotonicity property of the Perron root property suggested, the equality cases in Chistyakov's
theorem are analyzed. Applications to bounding above
Almost sure limit theorems for random allocationsAlmost sure limit
theorems are presented for random allocations. A general almost sure limit
Analog of theWeierstrass Theorem and the Blaschke Product for A(z)-analytic Functions(z)-analytic functions analogs of the Weierstrass
theorem and of the Blaschke
theorem are proved
Poisson Limit Theorems for Number of Given Value Cells in Non-Homogeneous Generalized Allocation Scheme. As corollary we obtain a Poisson limit
theorems for the number of given value cells from the first K cells
Automorphisms of spectral lattices of unbounded positive operators© 2014, Pleiades Publishing, Ltd. We introduce and study
spectral order on unbounded operators
Partial measures in the extended real line. Analogs of the Jordan decomposition
theorem and the Radon-Nikodym
theorem are obtained.
Poisson Limit Theorems in an Allocation Scheme with an Even Number of Particles in Each CellPoisson Limit
Theorems in an Allocation Scheme with an Even Number of Particles in Each Cell