Author
Çelik, Şermin Çam, Göral, H.
Publication Date
2020
Publication Place
-
American Mathematical Society
Subject
Olshanski spherical pair, Spherical function, Spherical representation, Automorphism group, Homogeneous tree
Type
Periodical
Language
English
Digital
Yes
Manuscript
No
Library
Özyeğin University
Library Asset ID
0949-5932
Record ID
39e77bb1-9940-4539-9229-8dd946cad39c
Library Location
Natural and Mathematical Sciences
Date
2020
Sample Text
The classification of the irreducible unitary representations of the stabilizer of the horocycles of a homogeneous tree of finite degree is well-known. In this article we use these stabilizers to form an Olshanski pair and then find all spherical functions of this pair. Finally we give realizations of the corresponding irreducible unitary representations.
DOI
10.1090/proc/14715
Cilt
28
