The Berezin form on symmetric $R$-spaces and reflection positivity
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
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We show that, perhaps surprisingly, in several aspects the behaviour of the reproducing kernels, of Toeplitz operators and of the Berezin transform on some weighted pluriharmonic Bergman spaces is the same as in the holomorphic case.
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Let D be a bounded symmetric domain in a complex vector space VC with a real form V and D = D∩V = G/K be the real bounded symmetric domain in the real vector space V . We construct the Berezin kernel and consider the Berezin transform on the L2-space on D. The corresponding representation of G is then unitarily equivalent to the restriction to G of a scalar holomorphic discrete series of holomo...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 2017
ISSN: 0137-6934,1730-6299
DOI: 10.4064/bc113-0-9