مشخصات پژوهش

صفحه نخست /Structure of some Beurling ...
عنوان Structure of some Beurling algebras on left coset spaces
نوع پژوهش ارائه مقاله در کنفرانس‌های علمی
کلیدواژه‌ها Locally compact topological group, Homogeneous space, Beurling algebra, Mackey-Brouhat formula, Lau algebra.
چکیده Let G be a locally compact group and H be a compact subgroup of G. We consider the homogeneous space G/H equipped with a strongly quasi-invariant Radon measure µ which arises from a rho-function. We introduce a new Beurling algebra L1 ω(G/H), where ω is a weight function on the homogeneous space G/H. Then we study the structure of this Beurling algebra. As example, we show that L1 ω(G/H) may be identified with a quotient space of L1 ω◦q(G) where q : G → G/H is the canonical quotint map. Also, we prove that L1 ω(G/H) can be considered as a Banach subalgebra of L1 ω◦q(G). Finally, by using these facts, we show that L1 ω(G/H) is a Lau algebra.
پژوهشگران بهروز الفتیان گیلان (Behrooz Olfatian Gillan) (نفر اول)