The Annihilating Ideal of the Fisher Integral
Classical Analysis and ODEs
2019-10-08 v2
Abstract
In this paper, we discuss a system of differential equations for the Fisher integral on the special orthogonal group. Especially, we explicitly give a set of linear differential operators which generates the annihilating ideal of the Fisher integral, and we prove that the annihilating ideal is a maximal left ideal of the ring of differential operators with polynomial coefficients. Our proof is given by a discussion concerned with an annihilating ideal of a Schwartz distribution associated with the Haar measure on the special orthogonal group. We also give differential operators annihilating the Fisher integral for the diagonal matrix by a new approach.
Keywords
Cite
@article{arxiv.1503.05261,
title = {The Annihilating Ideal of the Fisher Integral},
author = {Tamio Koyama},
journal= {arXiv preprint arXiv:1503.05261},
year = {2019}
}
Comments
11 pages