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Published May 15, 2000 | Version public
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Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials

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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.

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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2614
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CaltechAUTHORS:BORejc00

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http://www.combinatorics.org/Volume_7/Abstracts/v7i1r28.html (URL)

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2006-04-12
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2019-10-02
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