Boundedness and Compactness of Hankel Operators on Large Fock Space
Journal of Function Spaces, 2022 We introduce the BMO spaces and use them to characterize complex-valued functions f such that the big Hankel operators Hf and Hf¯ are both bounded or compact from a weighted large Fock space Fpϕ into a weighted Lebesgue space Lpϕ when 1 ...
Xiaofeng Wang, Zhicheng Zeng
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Operational interpretation of the vacuum and process matrices for identical particles [PDF]
Quantum, 2023 This work overviews the single-particle two-way communication protocol recently introduced by del Santo and Dakić (dSD), and analyses it using the process matrix formalism.
Ricardo Faleiro +2 more
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Parabosons, parafermions, and explicit representations of infinite-dimensional algebras [PDF]
, 2010 The goal of this paper is to give an explicit construction of the Fock spaces of the parafermion and the paraboson algebra, for an infinite set of generators. This is equivalent to constructing certain unitary irreducible lowest weight representations of
Stoilova, Nedialka, Van der Jeugt, Joris
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Asymptotic States and S-Matrix Operator in de Sitter Ambient Space Formalism
Universe, 2023 Within the de Sitter ambient space framework, the two different bases of the one-particle Hilbert space of the de Sitter group algebra are presented for the scalar case.
Mohammad Vahid Takook +2 more
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Compactness Criteria in Function Spaces [PDF]
, 2002 The classical criterion for compactness in Banach spaces of functions can be reformulated into a simple tightness condition in the time-frequency domain.
Dörfler, Monika +2 more
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, 2022 In a recent paper we used a basic decomposition property of polyanalytic functions of order $2$ in one complex variable to characterize solutions of the classical $\overline{\partial}$-problem for given analytic and polyanalytic data. Our approach suggested the study of a special reproducing kernel Hilbert space that we call the Hörmander-Fock space ...
Alpay, Daniel +4 more
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Symmetric Hilbert spaces arising from species of structures [PDF]
, 2000 Symmetric Hilbert spaces such as the bosonic and the fermionic Fock spaces over some `one particle space' $\K$ are formed by certain symmetrization procedures performed on the full Fock space. We investigate alternative ways of symmetrization by building
Guta, Madalin, Maassen, Hans
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X‐ray magnetic circular dichroism
Major Reference Works, Page 508-515., 2022 International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
Gerrit van der Laan C. Chantler +2 more
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Fourier transforms in generalized Fock spaces
International Journal of Mathematics and Mathematical Sciences, 1990 A classical Fock space consists of functions of the form,Φ↔(ϕ0,ϕ1,…,ϕq,…),where ϕ0∈C and ϕq∈L2(R3q), q≥1. We will replace the ϕq, q≥1 with q-symmetric rapid descent test functions within tempered distribution theory.
John Schmeelk
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Hilbert spaces of symmetric analytical functions on $\ell_{1}$
Karpatsʹkì Matematičnì Publìkacìï, 2013 We consider completions of the space of symmetric polynomials on $\ell_{1}$ with respect to some Hilbert norm and investigate conditions under which the obtained spaces consist of analytic functions with domains in $\ell_{1}$.
O. M. Holubchak
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