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Publications Influence

Plank problems, polarization and Chebyshev constants

- S. Révész, Y. Sarantopoulos
- Mathematics
- 2004

In this work we discuss "plank problems" for complex Banach spaces and in particular for the classical spaces. In the case we obtain optimal results and for finite dimensional complex Banach spaces,… Expand

33 4- PDF

On Bernstein and Markov-Type Inequalities for Multivariate Polynomials on Convex Bodies

Let pn be a polynomial of m variables and total degree n such that ?pn?C(K)=1, where K?Rm is a convex body. In this paper we discuss some local and uniform estimates for the magnitude of grad pn… Expand

41 3- PDF

Linear polarization constants of Hilbert spaces

Abstract This paper has been motivated by previous work on estimating lower bounds for the norms of homogeneous polynomials which are products of linear forms. The purpose of this work is to… Expand

21 3- PDF

Potential Theoretic Approach to Rendezvous Numbers

Abstract.We analyze relations between various forms of energies (reciprocal capacities), the transfinite diameter, various Chebyshev constants and the so-called rendezvous or average number. The… Expand

20 2- PDF

Geometry of homogeneous polynomials on non symmetric convex bodies

- G. Muñoz-Fernández, S. Révész, J. Sepúlveda
- Mathematics
- 1 September 2009

If $\Delta$ stands for the region enclosed by the triangle in ${\mathsf R}^2$ of vertices $(0,0)$, $(0,1)$ and $(1,0)$ (or simplex for short), we consider the space ${\mathcal P}(^2\Delta)$ of the… Expand

23 1- PDF

On the Extremal Rays of the Cone of Positive, Positive Definite Functions

- P. Jaming, M. Matolcsi, S. Révész
- Mathematics
- 7 January 2008

The aim of this paper is to investigate the cone of non-negative, radial, positive-definite functions in the set of continuous functions on ℝd. Elements of this cone admit a Choquet integral… Expand

8 1- PDF

Turán’s extremal problem on locally compact abelian groups

- S. Révész
- Mathematics
- 13 April 2009

AbstractLet G be a locally compact abelian group (LCA group) and Ω be an open, 0-symmetric set. Let F:= F(Ω) be the set of all continuous functions f: G → ℝ which are supported in Ω and are positive… Expand

16 1- PDF

Rearrangements of fourier series

- S. Révész
- Mathematics
- 3 January 1990

On considere des series de Fourier trigonometriques classiques de fonctions f dans C(T), ou T est le tore R/2πZ. On demontre un theoreme de convergence uniforme de sommes partielles vers f, base sur… Expand

8 1

On a problem of Turan about positive definite functions

- M. N. Kolountzakis, S. Révész
- Mathematics
- 8 April 2002

AbstractWe study the following question posed by Tur´an. Suppose Ω is a convex body in Euclideanspace R d which is symmetric with respect to the origin. Of all positive deﬁnite functionssupported in… Expand

15 1- PDF

How magical rendezvous numbers are explained by potential theory

We analyze relations between various forms of energies (reciprocal capacities), the transfinite diameter, various Chebyshev constants and the so called rendezvous or average number. The latter is… Expand

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