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pro vyhledávání: '"I. V. Videnskii"'
Autor:
I. V. Videnskii
Publikováno v:
Journal of Mathematical Sciences. 251:207-214
Given a Hilbert functional space H on a set X, H with reproducing kernel kx(y), define the distance between a point a, a ∈ X, and a subset Z, Z ⊂ X, as follows: $$ d\left(a,Z\right)=\operatorname{inf}\left\{\left.\left\Vert \frac{k_a}{\left\Vert
Autor:
I. V. Videnskii
Publikováno v:
Journal of Mathematical Sciences. 229:497-505
It is proved that a Hilbert function space on a set X with the Schwarz–Pick kernel (this is a wider class than the class of Hilbert spaces with the Nevanlinna–Pick kernel) generates a metric on the set X which is an analog of the hyperbolic metri
Autor:
I. V. Videnskii
Publikováno v:
Journal of Mathematical Sciences. 215:585-594
For an analog of a Blaschke product for a Hilbert space with Schwarz–Pick kernel (this is a wider class than the class of Hilbert spaces with Nevanlinna–Pick kernel), it is proved that only finitely many elementary multipliers may have zeros on a
Autor:
I. V. Videnskii
Publikováno v:
Journal of Mathematical Sciences. 209:743-752
We study the convergence of an infinite product of multipliers for a Hilbert space with the Nevanlinna–Pick kernel. It is natural to treat these products as analogs of Blaschke products in the algebra H ∞ . Bibliography: 5 titles.
Autor:
I. V. Videnskii
Publikováno v:
Journal of Mathematical Sciences. 120:1657-1661
If all n (n > 1) zeros of a rational function r with simple poles are in a half-plane, then the derivative of r has at least one zero in the same half-plane. This result is used to prove that the number of zeros of a linear combination of n Bergman k
Autor:
N. I. Ivanova, V. V. Pelekh, A.M. Parfenova, E. A. Amelina, N. V. Altukhova, I. V. Videnskii, E. D. Shchukin
Publikováno v:
Colloid Journal. 63:527-531
The effect of cationic surfactants (cetyltrimethylammonium bromide and tetrabutylammonium iodide) and cationic polyelectrolyte polyethylenimine on the coefficient of friction μ and adhesion force p(during shear and tensile testing, respectively) at
Autor:
I. V. Videnskii
Publikováno v:
Journal of Mathematical Sciences. 134:2260-2262
The so-called Takenaka-Malmquist system consists of a sequence of functions obtained from the sequence of rational fractions by applying the Gram-Schmidt orthogonalization procedure with respect to the Lesbegue measure on the unite circle. A Tauberia
Autor:
N. I. Ivanova, A.M. Parfenova, E. D. Shchukin, N. V. Altukhova, V. V. Pelekh, I. V. Videnskii, E. A. Amelina
Publikováno v:
Colloid Journal. 63:124-126
The molecular component F 0 of the friction force (by Derjaguin) between fibers in solutions of cationic surfactants–tetrabutylammonium iodide and poly(ethylene imine)—was estimated from adhesion forces and the friction coefficient measured in po
Autor:
I. V. Videnskii
Publikováno v:
Journal of Soviet Mathematics. 34:2139-2143
Basic result: let {zn} be a sequence of points of the unit disc and {kn} be a sequence of natural numbers, satisfying the conditions: Then for any bounded sequence of complex numbers there exists a sequence such that the function interpolates ω: whe