On the Hermite polynomials of a matrix argument. (Sur les polynômes d’Hermite d’une variable matricielle.) (French) Zbl 1002.43007
Summary: We define Hermite polynomials of a matrix argument. We use the coefficients of the “essential representation” of the affine group of transformations of \(\mathbb{R}^m\) to prove some important properties of those polynomials and their associated functions.
MSC:
| 43A80 | Analysis on other specific Lie groups |
References:
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