Search
Search Results
-
Inverses of Operator Convex Functions
The inverse of an operator convex function is shown to be operator monotone and due to the wide applications of the class of Nevanlinna’Pick...
-
A family of hyper-Bessel functions and convergent series in them
The Delerue hyper-Bessel functions that appeared as a multi-index generalizations of the Bessel function of the first type, are closely related to...
-
Growth of Schrödingerian Subharmonic Functions Admitting Certain Lower Bounds
Matsaev’s theorem on the growth of entire functions admitting some lower bounds is extended to subsolutions of the stationary Schrödinger equation
-
Polynomial perturbations of transcendental entire functions in the Laguerre–Pólya class
The principal goal of this paper is to investigate and report results concerning the following problem. Determine the family of all real entire...
-
Stieltjes Functions and Hurwitz Stable Entire Functions
The concept of stability, originally introduced for polynomials, will be extended to apply to the class of entire functions. This generalization will...
-
Entire functions with Julia sets of positive measure
Let f be a transcendental entire function for which the set of critical and asymptotic values is bounded. The Denjoy–Carleman–Ahlfors theorem implies...
-
Reconstruction of Bandlimited Functions from Unsigned Samples
We consider the recovery of real-valued bandlimited functions from the absolute values of their samples, possibly spaced nonuniformly. We show that...
-
Approximation of bandlimited functions by trigonometric polynomials
Let σ > 0. For 1 ≦ p ≦ ∞, the Bernstein space B
σ p is a Banach space of all f ∈ L p (ℝ) such that f is bandlimited to σ ; that is, the distributional... -
Extremal Problems in the Fock Space
This paper is devoted to examining some extremal problems in the Fock space. We discuss the order and type of Fock space functions and pose an...
-
Finite-dimensional de Branges Subspaces Generated by Majorants
If \( \mathcal{H}(E) \) is a de Branges space and ω is a...
-
Transcendence measures and algebraic growth of entire functions
In this paper we obtain estimates for certain transcendence measures of an entire function f . Using these estimates, we prove Bernstein, doubling and...
-
Multiple Positivity and the Riemann Zeta-Function
This paper investigates the relationship between the Riemann ζ-function and various classes of generating functions of multiply positive sequences...
-
A Completeness Problem Related to the Riemann Hypothesis
It is proven that the set of eigenvectors and generalized eigenvectors associated to the non-zero eigenvalues of the Hilbert-Schmidt (non nuclear,...
-
String Jacobi Matrices with Very Fast Decreasing Weights
In this work we investigate a class of string, compact Jacobi matrices with very rapidly decreasing weights. In particular, we have found...
-
Estimates of Entire Functions of Exponential Type Less than π in Terms of Logarithmic Sums over Real Duffin and Schaeffer Sequences
We give uniform estimates of entire functions of exponential type less than π having sufficiently small logarithmic sums over real sequences λ ...