To the theory of Hilbert space’s unconditional basis from values of entire vector-functions
Journal Title: Дослідження в математиці і механіці - Year 2016, Vol 21, Issue 1
Abstract
Classes of entire functions of exponential type are considered in the article. They fulfil certain conditions related to theorems about unconditional basises from the values of entire vectorfunctions. In particular, for any (𝐴2)-weight 𝑤2 on R is given by entire function 𝜙 with zeros in region Im 𝑧 < 0; futher, for any 𝜀 > 0 the weight |𝑤−1+ (𝑥 + 𝑖𝜀)𝜙(𝑥 + 𝑖𝜀)|2 meets the 𝐴2-condition. Here 𝑤+ is an exterior function in region Im 𝑧 > 0 with a property that |𝑤+(𝑥 + 𝑖0)|2 = 𝑤2(𝑥) almost everywhere on R.
Authors and Affiliations
E. I. Olefir
Keywords
Related Articles
- EP ID EP190753
- DOI -
- Views 69
- Downloads 0
The motion of symmetric gyrostat in gravitational field and resistive medium
Rapid rotational motion of a dynamically symmetric satellite about a center of mass under the action of gravitational torque and the external resistance torque is investigated. The orbit of the satellite is supposed circ...
Hyperbolic equation with singular coefficient
Dedicated to research existence conditions of quasi-linear differential equations with measurable coefficients, ie the study limitations imposed by the non linearity in which the system will have to research a solution a...
CIRCULAR GENERATOR OF PRN’S
Let 𝐸𝑚 be a subgroup of multiplicative group of reduced residues modulo 𝑝𝑚, 𝑝 ≡ 3 (mod 4) in the ring of Gaussian integers with norm one (mod 𝑝𝑚). Using the description of elements from 𝐸𝑚 we construct the sequence of re...
Optimal braking the rotation of rigid body in a resistant medium
Researched the problem of the optimal by time braking rotation of a rigid body under the action of a control torque with unequal coefficients. In addition, braking torque of viscous friction forces acts on a rigid body....
DYNAMICS OF A STOCHASTIC LOTKA–VOLTERRA FOOD CHAIN MODEL
The authors would like to thank Nguyen Hai Dang for his comments on the manuscript of this paper. This paper is concerned with a stochastic Lotka-Volterra food chain model. The existence of the global solution and the ul...