Results 51 to 60 of about 254 (149)
The Berezin transform and Laplace–Beltrami operator
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Abstract Advancements in vaccination technologies mitigate disease transmission risks but may inadvertently suppress the behavioral immune system, an evolved disease avoidance mechanism. Applying behavioral immune system theory and utilizing robust big data analytics, we examined associations between rising vaccination coverage and government policies,
Mac Zewei Ma +2 more
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The Berezin transform and radial operators [PDF]
Summary: We analyze the connection between compactness of operators on the Bergman space and the boundary behaviour of the corresponding Berezin transform. We prove that for a special class of operators that we call radial operators, an oscillation criterion is a sufficient condition under which the compactness of an operator is equivalent to the ...
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Berezin transforms on noncommutative polydomains
This paper is an attempt to unify the multivariable operator model theory for ball-like domains and commutative polydiscs and extend it to a more general class of noncommutative polydomains D q m
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Berezin transforms on pluriharmonic Bergman spaces [PDF]
The author discusses a possibility of extension of the Berezin--Toeplitz and Berezin quantization schemes known for holomorphic weighted Bergman spaces to various (non-holomorphic) Bergman type spaces. The main result states that the asymptotic behaviour of the reproducing kernels of Toeplitz operators and of the Berezin transform on some weighted ...
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On the $p$-norm of the Berezin transform
Let \(\nu_n\) denote the normalized Lebesgue measure on the unit ball \(B_n\) of \(\mathbb{C}^n\), \(n\geq 1\). Given \(f\in L^1(B_n, \nu_n)\), the Berezin transform \(\mathcal{B}f\) is defined by the formula \[ \mathcal{B} f(z)= (1-|z|^2)^{n+1} \int_{B_n} \frac{f(w)\, d\nu_n(w)}{|1-\langle z, w \rangle|^{2(n+1)}}, \quad z\in B_n.
Liu, Congwen, Zhou, Lifang
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The Berezin transform and 𝑚th-order Bergman metric [PDF]
We improve upon recent directional derivative estimates for Berezin’s operator calculus, and consider the relation between the m m th-order Bergman metric of Burbea and the classical Bergman metric in the analysis of higher order directional derivative estimates of the Berezin symbols of general bounded operators.
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Generalized Berezin Transform and Commutator Ideals
For a quasi-free module over a function algebra $A( )$, we define an analogue of the Berezin transform and relate this to the quotient of the C*-algebra it generates modulo the commutator ideal.
Davidson, Kenneth R., Douglas, Ronald G.
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Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensembles. [PDF]
Abreu LD.
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Iterates of a Berezin-type transform
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