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Distribution for Non Symmetric Position Operators on the Free Toy Fock Space and Its Approximation on the Full Fock Space
In this paper, we investigate the “Poisson-type” limit theorem with respect to the vacuum state of a family of partial sums of non-symmetric position...
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Semi-commutants of toeplitz operators on the Fock-Sobolev space
In this paper, we consider the semi-commutants of Toeplitz operators on the Fock-Sobolev space of the complex plane. This work generalizes several...
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Essential positivity for Toeplitz operators on the Fock space
In this short note, we discuss essential positivity of Toeplitz operators on the Fock space, as motivated by a recent question of Perälä and Virtanen...
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Extended Fock Space Formalism and Polyanalytic Functions
We give a detailed analysis of the extended Fock space construction, a representation of the Heisenberg algebra (the three-dimensional algebra...
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Determinant/permanent division and direct map**s in Fock space
The standard map** between different N -particle states in Fock space is very abstract and consists of combinations of creation and annihilation...
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Weighted composition operators on the Fock space: iteration and semigroups
This paper considers discrete and continuous semigroups of (weighted) composition operators on the Fock space. For discrete semigroups consisting of...
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Self-adjoint, unitary, and isometric weighted composition operators on quaternionic Fock space
The aim of this paper is to characterize several important classical properties, such as self-adjointness, unitarity, invertibility, isometry, and...
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A Fock space approach to the theory of kernel functions
In this paper, we give a new approach to the theory of kernel functions. Our method is based on the structure of Fock spaces. As its applications,...
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Q-space Representation of Boson Fock Space
We review the so-called Q-space representation (a probability theoretical representation) of the boson Fock space over a Hilbert space. This...
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The Kernels of Hankel Operators on the Full Fock Space
In this paper, we study the kernels of Hankel operators on the full Fock space. Firstly, we study the matrix and the symbol of S -Toeplitz operators...
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On the Space of Schwartz Operators in the Symmetric Fock Space and Its Dual
AbstractThe need to work with unbounded operators is a long-standing problem that arises when constructing the mathematical apparatus of quantum...
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Carleson measures and Berezin-type operators on Fock spaces
We characterize (vanishing) Fock–Carleson measures by products of functions in Fock spaces. We also study the boundedness of Berezin-type operators...
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Fock Spaces, Fermi Fields, and Applications
After introducing the symmetric Fock space structure associated with the free field, we define the fermionic field from creation and annihilation...