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12

COMBINATORICS
2000

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Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials

13 years 4 months ago

Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials

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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

Alexei Borodin, Grigori Olshanski

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Certain Graded Graphs | COMBINATORICS 2000 | Jack Symmetric Functions | Nonnegative Harmonic Functions |

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Added	17 Dec 2010
Updated	17 Dec 2010
Type	Journal
Year	2000
Where	COMBINATORICS
Authors	Alexei Borodin, Grigori Olshanski

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