论文标题

与四边形的赫尔米特正交多项式相关的fock空间

Fock space associated with quadrabasic Hermite orthogonal polynomials

论文作者

Ejsmont, Wiktor

论文摘要

本文介绍了一个新想法,用于构建与某些类别的概率度量相关的操作员。特殊情况包括几种已知的经典和非交通概率。主要示例源自Feller [30,第503页,示例10],即双曲线分布。在概率理论和统计中,双曲线分布分布是连续的概率分布,其概率密度函数和特征函数与双曲线脱位函数成正比。

This paper introduces a new idea for constructing operators associated with a certain class of probability measures. Special cases include several know classical and noncommutative probability. The main example is derived from Feller [30, Page 503, Example 10], i.e. the hyperbolic secant distribution. In probability theory and statistics, the hyperbolic secant distribution is a continuous probability distribution whose probability density function and characteristic function are proportional to the hyperbolic secant function.

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