S. Norvidas

activity

20192022

collaborators

13 papers

math.CA2022

A note on n-divisible positive definite functions

Saulius Norvidas

Let $P D (R)$ be the family of continuous positive definite functions on $R$ . For an integer $n > 1$ , a $f \in P D (R)$ is called $n$ -divisible if there is $g\i…

math.CA2022

On large sieve inequalities involving pth powers of trigonometric polynomials

Saulius Norvidas

In this paper, we extend the large sieve type estimates to sums involving pth powers of trigonometric polynomials. An approach to such estimates that does not rely on the usual L^2…

math.FA2020

On exposed functions in Bernstein spaces of functions of exponential type

Saulius Norvidas

For $σ > 0$ , the Bernstein space \ $B_{σ}^{1}$ consists of those $L^{1} (R)$ \ functions whose Fourier transforms are supported by $[- σ, σ]$ . Since $B_{σ}^{1}$ is separable and dual to some Banac…

math.CA2020

On the deterministic property for characteristic functions of several variables

Saulius Norvidas

Assume that $f$ is the characteristic function of a probability measure $μ_{f}$ on $R^{n}$ . Let $σ > 0$ . We study the following extrapolation problem: under what conditions on the neighb…

math.CA2020

A note on uniqueness of extension for characteristic functions

Saulius Norvidas

Let $f : R \to C$ be the characteristic function of a probability measure. We study the following question: Is it true that for any closed interval $I$ on $R$ , which does not contain…

math.CA2020

A note on analytic continuation of characteristic functions

Saulius Norvidas

We derive necessary and sufficient conditions for a continuous bounded function $f : R \to C$ to be a characteristic function of a probability measure. The Cauchy transform $K_{f}$ of…