Integral formula and upper estimate of I and J-Bessel functions on Jordan algebras
Representation Theory
2013-12-09 v3 Classical Analysis and ODEs
Abstract
In this paper we give a new integral expression of I and J-Bessel functions on simple Euclidean Jordan algebras, integrating on a bounded symmetric domain. From this we easily get the upper estimate of Bessel functions. As an application we give an upper estimate of the integral kernel function of the holomorphic 1-dimensional semi-group acting on the space of square integrable functions on symmetric cones.
Keywords
Cite
@article{arxiv.1211.4702,
title = {Integral formula and upper estimate of I and J-Bessel functions on Jordan algebras},
author = {Ryosuke Nakahama},
journal= {arXiv preprint arXiv:1211.4702},
year = {2013}
}
Comments
18 pages