Results 311 to 320 of about 2,478,358 (353)
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The Quarterly Journal of Mathematics, 1993
The author considers the differential operator \(H\) acting on \(L^2(- \alpha, +\alpha)\) given by \[ Hf= -{d\over dx} \Biggl(a(x) {df\over dx}\Biggr) \] and subject to Dirichlet boundary conditions at \(-\alpha\) and \(+\alpha\), where \(a: (- \alpha, +\alpha)\to (0, +\infty)\) is measurable with \(\gamma^{- 1}\leq a(x)\leq \gamma\) for all \(x\in (- \
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The author considers the differential operator \(H\) acting on \(L^2(- \alpha, +\alpha)\) given by \[ Hf= -{d\over dx} \Biggl(a(x) {df\over dx}\Biggr) \] and subject to Dirichlet boundary conditions at \(-\alpha\) and \(+\alpha\), where \(a: (- \alpha, +\alpha)\to (0, +\infty)\) is measurable with \(\gamma^{- 1}\leq a(x)\leq \gamma\) for all \(x\in (- \
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Canadian Mathematical Bulletin, 1999
AbstractWe obtain an explicit formula for heat kernels of Lorentz cones, a family of classical symmetric cones. By this formula, the heat kernel of a Lorentz cone is expressed by a function of timetand two eigenvalues of an element in the cone. We obtain also upper and lower bounds for the heat kernels of Lorentz cones.
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AbstractWe obtain an explicit formula for heat kernels of Lorentz cones, a family of classical symmetric cones. By this formula, the heat kernel of a Lorentz cone is expressed by a function of timetand two eigenvalues of an element in the cone. We obtain also upper and lower bounds for the heat kernels of Lorentz cones.
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The term a_4 in the heat kernel expansion of noncommutative tori
, 2016We consider the Laplacian associated with a general metric in the canonical conformal structure of the noncommutative two torus, and calculate a local expression for the term a_4 that appears in its corresponding small-time heat kernel expansion.
A. Connes, Farzad Fathizadeh
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A quad-tree-based fast and adaptive Kernel Density Estimation algorithm for heat-map generation
International Journal of Geographical Information Science, 2019Kernel Density Estimation (KDE) is a classic algorithm for analyzing the spatial distribution of point data, and widely applied in spatial humanities analysis.
Kunxiaojia Yuan +4 more
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Multiple kernel clustering with local kernel reconstruction and global heat diffusion
Information Fusion, 2023Yan Chen +4 more
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Transforming heat transfer with thermal metamaterials and devices
Nature Reviews Materials, 2021Ying Li, Wei Li, Tiancheng Han
exaly
Photothermal Nanomaterials: A Powerful Light-to-Heat Converter
Chemical Reviews, 2023Ximin Cui, Qifeng Ruan, Xiaolu Zhuo
exaly
Heat kernel bounds for nonlocal operators with singular kernels
Journal des Mathématiques Pures et Appliquées, 2019M. Kassmann, Kyung-Youn Kim, T. Kumagai
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