{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T07:50:18Z","timestamp":1772524218200,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>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\u2013product, we compute certain Selberg\u2013type integrals.<\/jats:p>","DOI":"10.37236\/1506","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T21:04:44Z","timestamp":1578690284000},"source":"Crossref","is-referenced-by-count":31,"title":["Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials"],"prefix":"10.37236","volume":"7","author":[{"given":"Alexei","family":"Borodin","sequence":"first","affiliation":[]},{"given":"Grigori","family":"Olshanski","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2000,5,15]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v7i1r28\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v7i1r28\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T00:23:25Z","timestamp":1579307005000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v7i1r28"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,5,15]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2000,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1506","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,5,15]]},"article-number":"R28"}}