Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Iossif Ostrovskii"'
Autor:
Natalya Zheltukhina, Iossif Ostrovskii
Publikováno v:
Mathematische Nachrichten. 283:573-587
We study the asymptotic (as n ∞) zero distribution of In (z, μ, Γλ) = (1 - μ)sn (z, Γλ) - μtn +1(z, Γλ), where μ ∈ ℂ, sn is nth section, tn is nth tail of the power series of classical Lindelof function Γλ of order λ. Our results g
Autor:
Alexandre Eremenko, Iossif Ostrovskii
Publikováno v:
Bulletin of the London Mathematical Society
Suppose that the moduli of the coefficients of a power series are 1/n!, while the arguments are arbitrary. If an entire function f represented by such power series decreases exponentially on some ray, then it has to be an exponential. If the argument
Autor:
Iossif Ostrovskii
Publikováno v:
Computational Methods and Function Theory. 6:1-14
In 1904, Hardy introduced an entire function depending on two parameters being a generalization of ez. He had studied in detail its asymptotic properties and that of its zeros. We consider the two following non-asymptotic problems related to the zero
Autor:
Iossif Ostrovskii
Publikováno v:
Computational Methods and Function Theory. 4:275-282
Let Pmn, 0 < Standardm < Standardn − 1, be a polynomial formed by the first m terms of the expansion of (1 + z)n according to the binomial formula. We show that, if m, n → ∞ in such a way that limm,n→∞ m/n = α ∊ (0,1), then the zeros of
Publikováno v:
Journal d’Analyse Mathématique
Journal d'Analyse Mathematique
Comptes Rendus de l'Académie des Sciences-Series I-Mathematics
Journal d'Analyse Mathematique
Comptes Rendus de l'Académie des Sciences-Series I-Mathematics
Resume A non-oscillating Paley–Wiener function is a real entire function f of exponential type belonging to L 2 ( R ) and such that each derivative f(n), n=0,1,2,… , has only a finite number of real zeros. We show that the class of such functions
Publikováno v:
Comptes Rendus Mathématique
Journal of Mathematical Analysis and Applications
Comptes Rendus Mathematique
Journal of Mathematical Analysis and Applications
Comptes Rendus Mathematique
Let μ be a finite nonnegative Borel measure. The classical Levy–Raikov–Marcinkiewicz theorem states that if its Fourier transform μ can be analytically continued to some complex half-neighborhood of the origin containing an interval (0,i R ) th
Publikováno v:
Journal of Approximation Theory
Let μ be a real measure on the line such that its Poisson integral M(z) converges and satisfies M(x+ iy) ≤ Ae-cyα, y → + ∞, for some constants A, c > 0 and 0 < α ≤ 1. We show that for 1/2 < α ≤ 1 the measure μ must have many sign chang
Autor:
Iossif Ostrovskii, Seçil Gergün
Publikováno v:
Journal of Mathematical Physics, Analysis, Geometry
Computational Methods and Function Theory
Computational Methods and Function Theory
New conditions for the validity of the Poisson representation (in usual and generalized form) for a function harmonic in the upper half-plane are obtained. These conditions differ from known ones by weaker growth restrictions inside the half-plane an
Publikováno v:
Comptes Rendus Mathématique
It is known that if a real finite Borel measure has a spectral gap at the origin then either it must have many sign changes or it is zero identically. Assume the Fourier transform of a real temperate distribution agrees in a neighborhood of the origi
Publikováno v:
Journal d’Analyse Mathématique
We present a new approach to the Marcinkiewicz interpolation inequality for the distribution function of the Hilbert transform, and prove an "abstract" version of this inequality. The approach uses "logarithmic determinants" and new estimates of cano