A Wiener type theorem for $(U(p,q) ,H_n)$
Volume 119 / 2010
Colloquium Mathematicum 119 (2010), 169-180
MSC: Primary 43A80; Secondary 22E30.
DOI: 10.4064/cm119-2-1
Abstract
It is well known that $(U( p,q) ,H_{n})$ is a generalized Gelfand pair. Applying the associated spectral analysis, we prove a theorem of Wiener Tauberian type for the reduced Heisenberg group, which generalizes a known result for the case $p=n$, $q=0$.
