Determinantal measures related to big q-Jacobi polynomials

被引：0

作者：

V. E. Gorin

G. I. Olshanski

机构：

[1] MIT,Department of Mathematics

[2] Russian Academy of Sciences,Institute for Information Transmission Problems

[3] Russian Academy of Sciences,Institute for Information Transmission Problems

来源：

Functional Analysis and Its Applications | 2015年 / 49卷

关键词：

Gelfand—Tsetlin graph; determinantal measures; big q-Jacobi polynomials; basic hypergeometric series;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We define a novel combinatorial object—the extended Gelfand—Tsetlin graph with cotransition probabilities depending on a parameter q. The boundary of this graph admits an explicit description. We introduce a family of probability measures on the boundary and describe their correlation functions. These measures are a q-analogue of the spectral measures studied earlier in the context of the problem of harmonic analysis on the infinite-dimensional unitary group.

引用

页码：214 / 217

页数：3

共 13 条

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Gorin, V. E.
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[9] Non-classical orthogonality relations for big and little q-Jacobi polynomials
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