Harmonic functions on multiplicative graphs and interpolation polynomials

Alexei Borodin, Grigori Olshanski

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)

Abstract

We construct examples of nonnegative harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on the infinite symmetric group. Our method relies on multivariate interpolation polynomials associated with Schur's S and P functions and with Jack symmetric functions. As a by-product, we compute certain Selberg-type integrals.

Original languageEnglish
Pages (from-to)1-39
Number of pages39
JournalElectronic Journal of Combinatorics
Volume7
Issue number1 R
DOIs
Publication statusPublished - 2000
Externally publishedYes

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