Atıf İçin Kopyala
Celik S. C., DEMİR S.
JOURNAL OF LIE THEORY, cilt.28, sa.3, ss.609-618, 2018 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
28
Sayı:
3
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Basım Tarihi:
2018
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Dergi Adı:
JOURNAL OF LIE THEORY
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.609-618
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Anahtar Kelimeler:
Olshanski spherical pair, spherical function, spherical representation, automorphism group, homogeneous tree
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Dokuz Eylül Üniversitesi Adresli:
Evet
Özet
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.