Add to ORKGA survey is given of work concerning Linnik's 1960 conjecture on the growth of entire characteristic functions (Fourier transforms) of probability measures. A proof of this conjecture is presented that is substantially shorter and more elementary than the known proofs. With the help of the same idea, new facts are established about the growth of entire characteristic functions with restrictions on the arguments of the zeros
Includes bibliographical references.This paper is concerned with a particularly useful function of p...
A space of entire functions of several complex variables rapidly decreasing on Rn and such that thei...
ABSTRACT. We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient...
Motivated by the recent solution of Karlin's conjecture, properties of functions in the Laguerre-Pol...
The analytic and asymptotic properties of the probability density p(alpha) (x) introduced in 1953 by...
We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient condition...
AbstractIn a recent paper, Matysiak and Szablowski [V. Matysiak, P.J. Szablowski, Theory Probab. App...
AbstractLet μ be a finite non-negative Borel measure. The classical Lévy–Raikov–Marcinkiewicz theore...
AbstractRecently we established Matysiak and Szablowski's conjecture [V. Matysiak, P.J. Szablowski, ...
We study an extension property for characteristic functions f : Rn → C of probability measures. More...
AbstractWe prove that Linnik distributions are geometrically infinitely divisible, and clarify a cha...
In the paper we study the growth properties of entire functions on the basis of relative L-order whe...
AbstractWe obtain new inequalities for the Fourier transform, both on Euclidean space, and on non-co...
Abstract. Motivated by the recent solution of Karlin’s conjecture, properties of functions in the La...
The classical Linnik-Sprindzuk phenomenon shows that the Riemann Hypothesis for Dirichlet L-function...
Includes bibliographical references.This paper is concerned with a particularly useful function of p...
A space of entire functions of several complex variables rapidly decreasing on Rn and such that thei...
ABSTRACT. We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient...
Motivated by the recent solution of Karlin's conjecture, properties of functions in the Laguerre-Pol...
The analytic and asymptotic properties of the probability density p(alpha) (x) introduced in 1953 by...
We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient condition...
AbstractIn a recent paper, Matysiak and Szablowski [V. Matysiak, P.J. Szablowski, Theory Probab. App...
AbstractLet μ be a finite non-negative Borel measure. The classical Lévy–Raikov–Marcinkiewicz theore...
AbstractRecently we established Matysiak and Szablowski's conjecture [V. Matysiak, P.J. Szablowski, ...
We study an extension property for characteristic functions f : Rn → C of probability measures. More...
AbstractWe prove that Linnik distributions are geometrically infinitely divisible, and clarify a cha...
In the paper we study the growth properties of entire functions on the basis of relative L-order whe...
AbstractWe obtain new inequalities for the Fourier transform, both on Euclidean space, and on non-co...
Abstract. Motivated by the recent solution of Karlin’s conjecture, properties of functions in the La...
The classical Linnik-Sprindzuk phenomenon shows that the Riemann Hypothesis for Dirichlet L-function...
Includes bibliographical references.This paper is concerned with a particularly useful function of p...
A space of entire functions of several complex variables rapidly decreasing on Rn and such that thei...
ABSTRACT. We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient...