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arXiv · 1211.4702

Integral formula and upper estimate of I and J-Bessel functions on Jordan algebras

Ryosuke Nakahama
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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.

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Ryosuke Nakahama. 2013-12-06. Integral formula and upper estimate of I and J-Bessel functions on Jordan algebras. https://arxiv.org/abs/1211.4702

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