Borodin, Alexei and Olshanski, Grigori (2000) Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials. Electronic Journal of Combinatorics, 7 (R28). ISSN 1077-8926 http://resolver.caltech.edu/CaltechAUTHORS:BORejc00
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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.
|Additional Information:||Submitted: November 22, 1999; Accepted: May 15, 2000. One of the authors (G.O.) was supported by the Russian Foundation for Basic Research under grant 98-01-00303.|
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|Deposited On:||12 Apr 2006|
|Last Modified:||26 Dec 2012 08:50|
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