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A semigroup of operators in the boson fock space

✍ Scribed by Yu. A. Neretin

Publisher
Springer US
Year
1990
Tongue
English
Weight
752 KB
Volume
24
Category
Article
ISSN
0016-2663

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## Abstract In this paper we study generalized Hankel operators ofthe form : β„±^2^(|__z__ |^2^) β†’ __L__^2^(|__z__ |^2^). Here, (__f__):= (Id–P~__l__~ )($ \bar z $^k^__f__) and P__l__ is the projection onto __A__~__l__~ ^2^(β„‚, |__z__ |^2^):= cl(span{$ \bar z $^__m__^ __z^n^__ | __m__, __n__ ∈ __N__,