Positive definite kernels and lattice paths

Tiberiu Constantinescu, Nermine El-Sissi

Research output: Contribution to journalArticlepeer-review

Abstract

We discuss the structure of positive definite kernels in terms of operator models. In particular, we introduce two models, one of Hessenberg type and another one that we call near tridiagonal. These models produce parametrizations of the kernels and we describe the combinatorial nature of these parametrizations in terms of lattice paths of Dyck and Lukasiewicz type.

Original languageEnglish
Pages (from-to)285-300
Number of pages16
JournalHouston Journal of Mathematics
Volume33
Issue number1
Publication statusPublished - 2007
Externally publishedYes

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