Szilárd Gy. Révész

TURÁN'S EXTREMAL PROBLEM FOR POSITIVE DEFINITE FUNCTIONS ON GROUPS

We study the following question: Given an open set

Integral concentration of idempotent trigonometric polynomials with gaps

\Omega

On a problem of Turan about positive definite functions

, symmetric about 0, and a continuous, integrable, positive definite function

Some trigonometric extremal problems and duality

f

Concentration of the Integral Norm of Idempotents

, supported in

On approximating Lebesgue integrals by Riemann sums

\Omega

The Periodic Decomposition Problem

and with

Schur-Type Inequalities for Complex Polynomials with no Zeros in the Unit Disk

f(0)=1

Linear polarization constants of Hilbert spaces

, how large can

Bernstein's inequality for multivariate polynomials on the standard simplex

\int f