Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 7 شماره
صفحات -
تاریخ انتشار 2000