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- W180699486 abstract "Abstract It is a widespread idea among Theoritical Physicists to represent the Fock spaces of Boson fields by suitable spaces of infinite dimensional holomorphic functions (this idea is, for example, contained in a classical book by F.A. Berezin [1]) and to write down, in the form of infinite dimensional holomorphic functions, the so-called “operators representable in the normal form”. We present here a mathematical study of these ideas: we show that “most” of the operators on the Fock spaces of Boson fields are characterized by their “normal form” defined in section 4 by means of a formula which plays a fundamental role in the applications. In a more abstract point of view and via the (infinite dimensional) Fourier-Borel transform, the concept of normal form is very closely related to some sorts of “Kernel-theorems” in infinite dimensional Holomorphy ([8]). The results presented here were announced in two Notes [5][6]; a particular case was obtained independently in [14]." @default.
- W180699486 created "2016-06-24" @default.
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- W180699486 date "1979-01-01" @default.
- W180699486 modified "2023-09-23" @default.
- W180699486 title "Infinite Dimensional Holomorphic “Normal Forms” of Operators on the Fock Spaces of Boson Fields and an Extension of the Concept of Wick Product" @default.
- W180699486 doi "https://doi.org/10.1016/s0304-0208(08)70762-x" @default.
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