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COMBINATORICS
2000

Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials

11 years 9 months ago
Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
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
Alexei Borodin, Grigori Olshanski
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2000
Where COMBINATORICS
Authors Alexei Borodin, Grigori Olshanski
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