量子矩阵球- I的Plancherel公式
Plancherel formula for the quantum matrix ball - I
摘要：
Plancherel公式是半单李群及其齐性空间上调和分析的著名结果之一。本文的主要目的是寻找单位矩阵球的球面变换的Plancherel公式的q-模拟。在这里，我们提出了一个明确的公式的径向部分的Plancherel措施。q-雅可比多项式作为球函数自然出现的方式。
英文摘要：
Plancherel formula is one of the celebrated result of harmonic analysis on semisimple Lie groups and their homogeneous spaces. The main goal of this work is to find a q-analog of the Plancherel formula for spherical transform the unit matrix ball. Here we present an explicit formula for the radial part of the Plancherel measure. q-Jacobi polynomials as spherical functions naturally arise on the way.
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。
