Borodin, Alexei and Olshanski, Grigori (2000) Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials. Electronic Journal of Combinatorics, 7 (R28). ISSN 1077-8926. https://resolver.caltech.edu/CaltechAUTHORS:BORejc00
![]()
|
PDF
See Usage Policy. 371kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:BORejc00
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 | ||||||
---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||
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. | ||||||
Issue or Number: | R28 | ||||||
Record Number: | CaltechAUTHORS:BORejc00 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:BORejc00 | ||||||
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: | 02 Oct 2019 22:55 |
Repository Staff Only: item control page