Results 31 to 40 of about 187 (131)
Berezin symbol inequalities via Grüss type inequalities and related questions
Turkish Journal of Mathematics, 2022 Summary: We prove some new inequalities for Berezin symbols of operators via classical Grüss type inequalities. Some other related questions are also discussed.
Tapdıgoğlu, Ramiz +2 more
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The Berezin Symbol and Multipliers of Functional Hilbert Spaces [PDF]
Proceedings of the American Mathematical Society, 1995 Summary: This paper focuses on a multiplicative property of the Berezin symbol \(\widetilde A\), of a given linear map \(A: {\mathcal H}\mapsto {\mathcal H}\), where \(\mathcal H\) is a functional Hilbert space of analytic functions. We show \(\widetilde{AB}= \widetilde A\widetilde B\) for all \(B\) in \({\mathcal B}({\mathcal H})\) if and only if \(A\)
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Journal of Diabetes Research, Volume 2026, Issue 1, 2026.The rising prevalence of diabetes has been closely linked to increased mortality and morbidity, particularly as its complications become more widespread. Among the most challenging of these complications are cognitive impairments and diabetic neuropathies, which are neurodegenerative conditions that significantly diminish the quality of life in the ...
Sepideh Poshtdar +3 more
wiley +1 more source
Semi-classical properties of Berezin–Toeplitz operators with $\mathscr {C}^k$Ck-symbol [PDF]
Journal of Mathematical Physics, 2014 We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with \documentclass[12pt]{minimal}\begin{document}$\mathscr {C}^k$\end{document}Ck-symbol on a symplectic manifold. We also give a semi-classical estimate of the distance of a Toeplitz operator to the space of self-adjoint and multiplication operators.
Barron, Tatyana +3 more
openaire +4 more sources
New Inequalities and an Integral Expression for the 𝒜‐Berezin Number
Journal of Mathematics, Volume 2026, Issue 1, 2026.This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi +4 more
wiley +1 more source
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
Central limit theorem for smooth statistics of one‐dimensional free fermions
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract We consider the determinantal point processes associated with the spectral projectors of a Schrödinger operator on R$\mathbb {R}$, with a smooth confining potential. In the semiclassical limit, where the number of particles tends to infinity, we obtain a Szegő‐type central limit theorem for the fluctuations of smooth linear statistics.
Alix Deleporte, Gaultier Lambert
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Bounds on Riesz Means of the Eigenvalues for Baouendi–Grushin Type Operators
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The aim of this paper is to consider spectral inequalities of a class of Baouendi–Grushin type operators in cylinders. Such operators are hypoelliptic and we obtain non‐Weyl type inequalities depending on the rate of the degeneracy. We also give an example where all eigenvalues and eigenfunctions are computed explicitly.
Alaa Aljahili, Ari Laptev, Shikha Binwal
wiley +1 more source
The British Journal of Sociology, Volume 75, Issue 5, Page 908-921, December 2024.Abstract To the extent that emotions are noticed in consideration of crisis they are typically thought to be negative, linked to the disruptive consequences of crisis. Based on semi‐structured in‐depth interviews the article shows that crisis precipitates not only negative but also positive emotions and that the complex of emotional experiences that ...
Xiaoying Qi
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International Journal of Urban and Regional Research, Volume 48, Issue 5, Page 743-763, September 2024.Abstract During the late 2010s, pro‐immigrant activists in the politically progressive municipality of Mayville, California (pseudonym) mounted a campaign to enact a radically egalitarian sanctuary city policy (“sanctuary for all”) that would have changed the boundaries of urban citizenship.
Walter Nicholls
wiley +1 more source