Results 41 to 50 of about 1,132 (169)
Positive Toeplitz operators between doubling Fock spaces
In this paper, we characterize the boundedness and compactness of the Toeplitz operator between doubling Fock spaces in terms of averaging functions and t-Berezin transform.
JIAN Shu-Man, WANG Xiao-Feng, XIA Jin
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Best Approximations in Hardy Spaces on Infinite-Dimensional Unitary Matrix Groups
We investigate the problem of best approximations in the Hardy space of complex functions, defined on the infinite-dimensional unitary matrix group. Applying an abstract Besov-type interpolation scale and the Bernstein-Jackson inequalities, a behavior of
Oleh Lopushansky
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Wick Products Under Bogoliubov Transformations on Guichardet–Fock Space
We construct Wick products by creation and annihilation operators on Guichardet–Fock spaces F and obtain commutation relations and s—adapted characters about the Wick products.
Jihong Zhang, Xiaochun Sun
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In the present work, the nuclear shell model with Hartree–Fock (HF) calculations have been used to investigate the nuclear structure of 24Mg nucleus. Particularly, elastic and inelastic electron scattering form factors and transition probabilities have ...
NOORI S. Manie, Ali A. Alzubadi
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The Generalized Mehler–Fock Transform over Lebesgue Spaces
This paper focuses on establishing boundedness properties and Parseval–Goldstein-type relations for the generalized Mehler–Fock transform initially introduced by B. L. J. Braaksma and B. M. Meulenbeld (Compositio Math., 18(3):235–287, 1967).
Jeetendrasingh Maan +2 more
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Sarason’s Conjecture of Toeplitz Operators on Fock-Sobolev Type Spaces
In this note, we will solve Sarason’s conjecture on the Fock-Sobolev type spaces and give a well solution that if Toeplitz product TuTv¯, with entire symbols u and v, is bounded if and only if u=eq, v=Ce-q, where q is a linear complex polynomial and C is
Xiaofeng Wang, Jianjun Chen, Jin Xia
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CLUSTER STRUCTURES ON HIGHER TEICHMULLER SPACES FOR CLASSICAL GROUPS
Let $S$ be a surface, $G$ a simply connected classical group, and $G^{\prime }$ the associated adjoint form of the group. We show that the moduli spaces of framed local systems ${\mathcal{X}}_{G^{\prime },S}$ and ${\mathcal{A}}_{G,S}$, which were ...
IAN LE
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Linear differential equations with coefficients in Fock type space
In this paper we deal with complex differential equations of the form \begin{eqnarray*} f^{(k)}+a_{k-1}(z)f^{(k-1)}+\cdot\cdot\cdot+a_{1}(z)f^{'}+a_{0}(z)f=0 \end{eqnarray*} with the coefficients in Fock type space.
Xiang Dong Yang, Jin Tu
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Toeplitz Operators on Harmonic Fock Spaces with Radial Symbols
The main aim of this paper is to study new features and specific properties of the Toeplitz operator with radial symbols in harmonic Fock spaces. A new spectral decomposition of a Toeplitz operator with Wick symbols is also established.
Zhi-Ling Sun, Wei-Shih Du, Feng Qi
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An Analytic Characterization of p,q-White Noise Functionals
In this paper, a characterization theorem for the S-transform of infinite dimensional distributions of noncommutative white noise corresponding to the p,q-deformed quantum oscillator algebra is investigated.
Anis Riahi +3 more
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