乘法图上的调和函数与插值多项式
Harmonic functions on multiplicative graphs and interpolation polynomials
摘要：
我们在某些分次图上构造了非负调和函数的例子：Young格及其推广。这种函数首先出现在无限对称群上的调和分析中。我们的方法依赖于多元插值多项式与舒尔的S和P函数和杰克对称函数。作为副产品，我们计算某些Selberg型积分。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
