A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2004; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On Pointwise Estimates of Positive Definite Functions With Given Support

2006
*
Canadian Journal of Mathematics - Journal Canadien de Mathematiques
*

The following problem originated from a question due to Paul Turán. Suppose Ω is a convex body in Euclidean space R d or in T d , which is symmetric about the origin. Over all positive definite functions supported in Ω, and with normalized value 1 at the origin, what is the largest possible value of their integral? From this Arestov, Berdysheva and Berens arrived to pose the analogous pointwise extremal problem for intervals in R. That is, under the same conditions and normalizations, and for

doi:10.4153/cjm-2006-017-8
fatcat:uguc4h4t3jcwnez5l32nqxncra