Composition Operators on Generalized Fock Spaces of Slice Hyperholomorphic Functions
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DOI: 10.1007/s00006-020-1041-5
Abstract: In this paper, we study composition operators on generalized Fock spaces of slice hyperholomorphic functions. More precisely, some relationship for composition operators between the slice hyperholomorphic setting and the classical setting is explored to characterize… read more here.
Keywords: operators generalized; generalized fock; slice hyperholomorphic; fock spaces ... See more keywords
Dynamics of the Volterra-Type Integral and Differentiation Operators on Generalized Fock Spaces
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DOI: 10.1007/s00025-019-1123-7
Abstract: AbstractVarious dynamical properties of the differentiation and Volterra-type integral operators on generalized Fock spaces are studied. We show that the differentiation operator is always supercyclic on these spaces. We further characterize when it is hypercyclic,… read more here.
Keywords: operators generalized; type integral; generalized fock; differentiation ... See more keywords
Polynomial Approximation in Slice Regular Fock Spaces
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DOI: 10.1007/s11785-018-0878-2
Abstract: The main purpose of this paper is to prove some density results of polynomials in Fock spaces of slice regular functions. The spaces can be of two different kinds since they are equipped with different… read more here.
Keywords: slice regular; regular fock; fock spaces; polynomial approximation ... See more keywords
Multiple Sampling and Interpolation in Weighted Fock Spaces of Entire Functions
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DOI: 10.1007/s11785-020-01065-4
Abstract: We characterize sampling and interpolating sets with derivatives in weighted Fock spaces on the complex plane in terms of their weighted Beurling densities. read more here.
Keywords: interpolation weighted; weighted fock; fock spaces; sampling interpolation ... See more keywords
Spectrums and Uniform Mean Ergodicity of Weighted Composition Operators on Fock Spaces
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DOI: 10.1007/s40840-021-01203-x
Abstract: For holomorphic pairs of symbols $$(u, \psi )$$ ( u , ψ ) , we study various structures of the weighted composition operator $$ W_{(u,\psi )} f= u \cdot f(\psi )$$ W ( u ,… read more here.
Keywords: fock spaces; weighted composition; uniform mean; mean ergodicity ... See more keywords
On Hankel operators between Fock spaces
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DOI: 10.1007/s43037-019-00043-z
Abstract: In this paper, we characterize the mapping properties of Hankel operators $$H_{g}$$ and $$ H_{\overline{g}}$$ associated to some restricted function g on the complex space $$\mathbf{C}^n$$. We, in particular, describe the boundedness and compactness of… read more here.
Keywords: hankel operators; operators fock; fock spaces;
Weighted composition operators between large Fock spaces in several complex variables
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DOI: 10.1016/j.jfa.2019.04.008
Abstract: Abstract Let ϕ be an entire self-map of C n , and let u be an entire function on C n . A weighted composition operator induced by ϕ with weight u is given by… read more here.
Keywords: fock spaces; weighted composition; operators large; composition operators ... See more keywords
On zero sets in Fock spaces
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DOI: 10.1016/j.jmaa.2018.06.048
Abstract: Abstract We prove that zero sets for distinct Fock spaces are not the same, this is an answer of a question asked by K. Zhu in [6, p. 209] . read more here.
Keywords: zero sets; sets fock; fock spaces;
Deformations of thermo-algebras and of Fock spaces on a ring, and open quantum systems
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DOI: 10.1088/1751-8121/ac2598
Abstract: Using a hyperbolic ring based formalism, it is shown that special unitary groups correspond to thermo-algebras for closed quantum systems, while for open systems, the full unitary algebra is the suitable underlying structure. Specifically the… read more here.
Keywords: deformations thermo; quantum systems; algebras fock; fock spaces ... See more keywords
Note on bi-exactness for creation operators on Fock spaces
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DOI: 10.2969/jmsj/86338633
Abstract: In this note, we introduce and study a notion of bi-exactness for creation operators acting on full, symmetric and anti-symmetric Fock spaces. This is a generalization of our previous work, in which we studied the… read more here.
Keywords: exactness creation; fock spaces; creation operators; note exactness ... See more keywords