Abstract
We shall define the spectral projection on the homogeneous tree $\mathfrak X$, which is an analogue of the one given by Bray for semisimple Lie groups. We shall prove the Paley--Wiener theorem for the spectral projection on $\mathfrak X$. As an application, we present an elementary proof of the Paley--Wiener theorem for the Helgason--Fourier transform on $\mathfrak X$, which was obtained by Cowling and Setti.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
