Published May 15, 2000
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Journal Article
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Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
- Creators
- Borodin, Alexei
- Olshanski, Grigori
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.Files
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Additional details
- Eprint ID
- 2614
- Resolver ID
- CaltechAUTHORS:BORejc00
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2006-04-12Created from EPrint's datestamp field
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2019-10-02Created from EPrint's last_modified field