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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

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