The Distributional Hankel Transform of Marcel Riesz's Ultrahyperbolic Kernel

摘要

In this article we give a sense to the distributional Hankel transform of Marcel Riesz's ultrahyperbolic kernel.First we evaluateRα(u) inα= −2kandα= 2kfor the casesμeven andνodd,μeven andνeven, andμodd andνodd,μodd andνeven, whereandFinally in Section 4 we obtain the distributional Hankel transform of Marcel Riesz's ultrahyper