Results 11 to 20 of about 1,132 (169)
On Toeplitz operators between different Fock–Sobolev-type spaces
Journal of Inequalities and Applications, 2023 In this paper, we characterize those positive Borel measurable symbols μ on C n $\mathbb{C}^{n}$ that induce the Toeplitz operators T μ α $T^{\alpha}_{\mu}$ to be bounded or compact between different Fock–Sobolev–type spaces F α p $F^{p}_{\alpha}$ and F ...
Jianjun Chen, Guangxia Xu
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Fock space on $\mathbb{C}^\infty$ and Bose-Fock space
, 2020 In this paper, we introduce the Fock space over $\mathbb{C}^{\infty}$ and obtain an isomorphism between the Fock space over $\mathbb{C}^{\infty}$ and Bose-Fock space. Based on this isomorphism, we obtain representations of some operators on the Bose-Fock space and answer a question in \cite{coburn1985}.
Wick, Brett D., Wu, Shengkun
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Toeplitz quantization on Fock space [PDF]
Journal of Functional Analysis, 2018 For Toeplitz operators $T_f^{(t)}$ acting on the weighted Fock space $H_t^2$, we consider the semi-commutator $T_f^{(t)}T_g^{(t)}-T_{fg}^{(t)}$, where $t>0$ is a certain weight parameter that may be interpreted as Planck's constant $\hbar$ in Rieffel's deformation quantization.
Bauer, Wolfram +2 more
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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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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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Fock space (2): Multiple fock spaces [PDF]
, 1993 From the algebraic point of view, a multiple Fock space over ℌ is nothing but a standard (symmetric or antisymmetric) Fock space over a direct sum of copies of ℌ,and new definitions are not necessary in principle. However, this chapter contains important new notation, and a few rather interesting constructions, like that of the “finite-temperature ...
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Nonlocal Effects in Fock Space [PDF]
Physical Review Letters, 1995 If a physical system contains a single particle, and if two distant detectors test the presence of linear superpositions of one-particle and vacuum states, a violation of classical locality can occur. It is due to the creation of a two-particle component by the detecting process itself.
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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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Wavelet transforms in generalized Fock spaces
International Journal of Mathematics and Mathematical Sciences, 1997 A generalized Fock space is introduced as it was developed by Schmeelk [1-5], also Schmeelk and Takači [6-8]. The wavelet transform is then extended to this generalized Fock space.
John Schmeelk, Arpad Takaci
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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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