Results 11 to 20 of about 155 (39)
Geometric maximizers of Schatten norms of some convolution type integral operators [PDF]
, 2017 In this paper we prove that the ball is a maximizer of the Schatten $p$-norm of some convolution type integral operators with non-increasing kernels among all domains of a given measure in $\mathbb R^{d}$.
Ruzhansky, Michael, Suragan, Durvudkhan
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Analysis of the divide-and-conquer method for electronic structure calculations [PDF]
, 2015 We study the accuracy of the divide-and-conquer method for electronic structure calculations. The analysis is conducted for a prototypical subdomain problem in the method.
Chen, Jingrun, Lu, Jianfeng
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A Spectral Gap Estimate and Applications
, 2017 We consider the Schr\"odinger operator $$-\frac{d^2}{d x^2} + V \qquad \mbox{on an interval}~~[a,b]~\mbox{with Dirichlet boundary conditions},$$ where $V$ is bounded from below and prove a lower bound on the first eigenvalue $\lambda_1$ in terms of ...
Georgiev, Bogdan +2 more
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The asymptotic limits of zero modes of massless Dirac operators
, 2007 Asymptotic behaviors of zero modes of the massless Dirac operator $H=\alpha\cdot D + Q(x)$ are discussed, where $\alpha= (\alpha_1, \alpha_2, \alpha_3)$ is the triple of $4 \times 4$ Dirac matrices, $ D=\frac{1}{i} \nabla_x$, and $Q(x)=\big(q_{jk} (x) \
A.A. Balinsky +13 more
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Carleson Measures and Logvinenko-Sereda sets on compact manifolds [PDF]
, 2010 Given a compact Riemannian manifold $M$ of dimension $m\geq 2$, we study the space of functions of $L^2(M)$ generated by eigenfunctions of eigenvalues less than $L\geq 1$ associated to the Laplace-Beltrami operator on $M$.
Ortega-Cerdà, Joaquim +1 more
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Laplacian eigenvalues functionals and metric deformations on compact manifolds [PDF]
, 2007 In this paper, we investigate critical points of the Laplacian's eigenvalues considered as functionals on the space of Riemmannian metrics or a conformal class of metrics on a compact manifold.
Agricola +33 more
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Hearing the shape of a triangle
, 2013 In 1966 Mark Kac asked the famous question 'Can one hear the shape of a drum?'. While this was later shown to be false in general, it was proved by C. Durso that one can hear the shape of a triangle.
Grieser, Daniel, Maronna, Svenja
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Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk
, 2018 It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole $a\neq 0$
Abatangelo, Laura
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On occurrence of spectral edges for periodic operators inside the Brillouin zone [PDF]
, 2007 The article discusses the following frequently arising question on the spectral structure of periodic operators of mathematical physics (e.g., Schroedinger, Maxwell, waveguide operators, etc.). Is it true that one can obtain the correct spectrum by using
+44 more
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On the location of spectral edges in $\mathbb{Z}$-periodic media
, 2010 Periodic $2$nd order ordinary differential operators on $\R$ are known to have the edges of their spectra to occur only at the spectra of periodic and antiperiodic boundary value problems.
Exner, Pavel +2 more
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