Results 81 to 90 of about 374,962 (187)
On the inverse power inequality for the Berezin number of operators
, 2018 The Berezin symbol à of operator A acting on the reproducing kernel Hilbert space H = H (Ω) over some set Ω is defined by Ã(λ) = 〈 Ak̂H ,λ , k̂H ,λ 〉 , λ ∈ Ω, where k̂H ,λ = kH ,λ ‖kH ,λ‖H is the normalized reproducing kernel of H . The Berezin number of
M. Garayev, S. Saltan, Dilara Gündoğdu
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Branes, Quantization and Fuzzy Spheres
, 2011 We propose generalized quantization axioms for Nambu-Poisson manifolds, which allow for a geometric interpretation of n-Lie algebras and their enveloping algebras.
Saemann, Christian, Szabo, Richard J.
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On unbounded, non-trivial Hochschild cohomology in finite von Neumann algebras and higher order Berezin's quantization [PDF]
, 2014 We introduce a class of densely defined, unbounded, 2-Hochschild cocycles ([PT]) on finite von Neumann algebras $M$. Our cocycles admit a coboundary, determined by an unbounded operator on the standard Hilbert space associated to the von Neumann algebra $
Radulescu, Florin
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On some problems related to Berezin symbols
Comptes Rendus. Mathématique, 2005 The following problem was formulated by Zorboska [Proc. Amer. Math. Soc. 131 (2003) 793–800]: It is not known if the Berezin symbols of a bounded operator on the Bergman space La2(D) must have radial limits almost everywhere on the unit circle. In this Note we solve this problem in the negative, showing that there is a concrete class of diagonal ...
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Currents on Grassmann algebras
, 1993 We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret the currents in terms of ${\Z}_2$-graded Hochschild cohomology and closed currents in terms ...
Berezin +10 more
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Toeplitz operators on Bergman spaces of polyanalytic functions
, 2010 We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators of Toeplitz operators with harmonic symbols.
Cuckovic, Zeljko, Le, Trieu
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Berezin-Toeplitz Quantization and Star Products for Compact Kaehler Manifolds
, 2012 For compact quantizable K\"ahler manifolds certain naturally defined star products and their constructions are reviewed. The presentation centers around the Berezin-Toeplitz quantization scheme which is explained.
Schlichenmaier, Martin
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Description of Bloch spaces, weighted Bergman spaces and invariant subspaces, and related questions
Kuwait Journal of Science, 2016 Let D be the unit disc of complex plane C, and H=Hol(D) the class of functions analytic in D. Recall that an f∈Hol(D) is said to belong to the Bloch space B=B(D) if ‖f‖_{B}:=sup_{z∈D}(1-|z|²)|f′(z)|
Mübariz T. Garayev +2 more
doaj
Description of invariant subspaces in terms of Berezin symbols
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: We consider the stretching operator \( T_{w}f) (z) =f(wz)\) and the multiple shift operator \(S^{n}f=z^{n}f\) on the Hardy spaces \( H^{p}(\mathbb{D})\) (\( 1\leq ...
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Correspondence Rules for SU(1,1) Quasidistribution Functions and Quantum Dynamics in the Hyperbolic Phase Space. [PDF]
Entropy (Basel), 2022 Baltazar M, Valtierra IF, Klimov AB.
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