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Asymptotic normality of kernel type density estimators for random fields. The proof is based on a new central limit theorem for α-mixing random fields. Simulation results support our
Cylindrical complex valuedmeasures and Feynman-Kac formulascentral limit theorem
The embedding theorem for Sobolev spaces with mixed norm for limit exponentsThe embedding theorem for Sobolev spaces with mixed norm for limit exponents
Mean-value theorem for B-harmonic functionsWe establish a mean value property for the functions which is satisfied to Laplace–Bessel equation
An integral comparison theorem for cavitation diagramsIn this paper we prove a comparison theorem for a functional whose positiveness is a necessary
Regular zeros of quadratic maps and their application. Their applications are indicated to certain problems of analysis related to the inverse function theorem in a
A note on definition of matrix convex functionsWe prove that a real-valued function f defined on an interval S in R is matrix convex if and only
MAJORIZATION INEQUALITIES VIA PEANO'S REPRESENTATION OF HERMITE'S POLYNOMIALThe Peano's representation of Hermite polynomial and new Green functions are used to construct
A version of the infinite-dimensional Borsuk-Ulam theorem for multivalued mapsThis paper is devoted to the proof of the infinite-dimensional Borsuk-Ulam theorem for odd
On the Limit Distribution of Sums of Real Random VariablesConsiders centered sequence of absolutely continuous random variables with a non-trivial weak limit
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