Borodin, Alexei and Olshanski, Grigori (2000) Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials. Electronic Journal of Combinatorics, 7 (R28). ISSN 1077-8926 http://resolver.caltech.edu/CaltechAUTHORS:BORejc00
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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.
| Item Type: | Article |
|---|---|
| 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. |
| Record Number: | CaltechAUTHORS:BORejc00 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:BORejc00 |
| Alternative URL: | http://www.combinatorics.org/Volume_7/Abstracts/v7i1r28.html |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 2614 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 12 Apr 2006 |
| Last Modified: | 26 Dec 2012 08:50 |
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