Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
Keyword(s):
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.
2004 ◽
Vol 158
(3)
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pp. 551-642
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2014 ◽
Vol DMTCS Proceedings vol. AT,...
(Proceedings)
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1999 ◽
Vol 51
(4)
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pp. 673-744
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1987 ◽
Vol 106
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pp. 143-162
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2005 ◽
Vol 35
(1)
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pp. 71-96
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1999 ◽
Vol 96
(5)
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pp. 3517-3530
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