Results 1 to 10 of about 13,837 (237)
Comparing Metrics at Large: Harmonic vs Quo-Harmonic Coordinates [PDF]
, 2001 To compare two space-times on large domains, and in particular the global structure of their manifolds, requires using identical frames of reference and associated coordinate conditions.
J. M. Aguirregabiria +4 more
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Asymptotic expansions for harmonic functions at conical boundary points [PDF]
Revista matemática iberoamericana, 2023 We prove three theorems about the asymptotic behavior of solutions u to the homogeneous Dirichlet problem for the Laplace equation at boundary points with tangent cones.
D. Kriventsov, Zongyuan Li
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Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions [PDF]
Journal of nonlinear science, 2022 For a smooth bounded domain $$G\subset {{\mathbb {R}}}^3$$ G ⊂ R 3 , we consider maps $$n:{\mathbb {R}}^3\setminus G\rightarrow {\mathbb {S}}^2$$ n : R 3 \ G → S 2 minimizing the energy $$E(n)=\int _{{\mathbb {R}}^3{\setminus } G}|\nabla n|^2 +F_s(n_ ...
S. Alama +3 more
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The Performance of PCM Quantization Under Tight Frame Representations [PDF]
SIAM Journal on Mathematical Analysis, 2011 In this paper, we study the performance of the PCM scheme for quantizing finite unit-norm tight frame expansions for $\mathbb{R}^d$ and derive the PCM quantization error without the white noise hypothesis.
Yang Wang, Zhiqiang Xu
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Harmonic analysis meets stationarity: A general framework for series expansions of special Gaussian processes [PDF]
Bernoulli, 2018 In this paper, we present a new approach to derive series expansions for some Gaussian processes based on harmonic analysis of their covariance function. In particular, a new simple rate-optimal series expansion is derived for fractional Brownian motion.
M. Ndaoud
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Spheroidal harmonic expansions for the solution of Laplace's equation for a point source near a sphere. [PDF]
Physical Review E, 2016 We propose a powerful approach to solve Laplace's equation for point sources near a spherical object. The central new idea is to use prolate spheroidal solid harmonics, which are separable solutions of Laplace's equation in spheroidal coordinates ...
Matt Majić, B. Auguié, E. L. Le Ru
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Entanglement of harmonic systems in squeezed states [PDF]
Journal of High Energy Physics, 2023 The entanglement entropy of a free scalar field in its ground state is dominated by an area law term. It is noteworthy, however, that the study of entanglement in scalar field theory has not advanced far beyond the ground state.
Dimitrios Katsinis +2 more
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Discrete harmonic analysis associated with Jacobi expansions I: The heat semigroup [PDF]
Journal of Mathematical Analysis and Applications, 2018 In this paper we commence the study of discrete harmonic analysis associated with Jacobi orthogonal polynomials of order $(\alpha,\beta)$. Particularly, we give the solution $W^{(\alpha,\beta)}_t$, $t\ge 0$, and some properties of the heat equation ...
Alberto Arenas +2 more
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Time-frequency analysis on the adeles over the rationals [PDF]
, 2018 We show that the construction of Gabor frames in $L^{2}(\mathbb{R})$ with generators in $\mathbf{S}_{0}(\mathbb{R})$ and with respect to time-frequency shifts from a rectangular lattice $\alpha\mathbb{Z}\times\beta\mathbb{Z}$ is equivalent to the ...
Enstad, Ulrik B. R. +2 more
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Physical and Chemical Aspects of the Study of Clusters Nanostructures and Nanomaterials, 2020 В статье представлены результаты применения модели общего гармонического поля для численного моделирования механических свойств близких по геометрической форме образцов наноструктур графена и силицена.
М. А. Журавков +2 more
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