Results 81 to 90 of about 1,315,432 (182)
The spectrum of the sub-Laplacian on the Heisenberg group
, 2011 We give a complete analysis of the spectrum of the unique self-adjoint extension of the sub-Laplacian on the one-dimensional Heisenberg group.Articledepartmental bulletin ...
Molahajloo, Shahla +2 more
core
Laplacian spectral characterization of disjoint union of paths and cycles
, 2011 The Laplacian spectrum of a graph consists of the eigenvalues (together with multiplicities) of the Laplacian matrix. In this article we determine, among the graphs consisting of disjoint unions of paths and cycles, those ones which are determined by ...
Huang, Q. X. +13 more
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Modified absolute value cumulating spectrum sensing algorithm in cognitive radio
Dianxin kexue, 2017 Absolute value cumulating (AVC) algorithm is a common spectrum sensing method in Laplacian noise (LED) surroundings,however,the ‘spikes or outliers' in Laplacian noise can't be fully smoothed,which results in bad detection performance.Aiming at this ...
Zhiyong HE
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A New Like Quantity Based on “Estrada Index”
Journal of Inequalities and Applications, 2010 We first define a new Laplacian spectrum based on Estrada index, namely, Laplacian Estrada-like invariant, LEEL, and two new Estrada index-like quantities, denoted by S and EEX, respectively, that are generalized versions of the Estrada index. After that,
A. Dilek Güngör
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The spectrum of the Laplacian on forms.
, 2017 The essential spectrum of the Laplacian on functions over a noncompact Riemannian manifold has been extensively studied. It is known that on hyperbolic space a spectral gap appears, whereas is has been conjectured that on manifolds with uniformly ...
Charalambous, Nelia
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The essential spectrum of the Laplacian
, 2012 In this article we prove a generalization of Weyl's criterion for the essential spectrum of a self-adjoint operator on a Hilbert space. We then apply this criterion to the Laplacian on functions over open manifolds and get new results for its essential spectrum.
Charalambous, Nelia, Lu, Zhiqin
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The spectrum of the Laplacian on forms
, 2018 In this article we prove a generalization of Weyl's criterion for the spectrum of a self-adjoint nonnegative operator on a Hilbert space. We will apply this new criterion in combination with Cheeger-Fukaya-Gromov and Cheeger-Colding theory to study the $k$-form essential spectrum over a complete manifold with vanishing curvature at infinity or ...
Charalambous, Nelia, Lu, Zhiqin
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Trapped modes in a waveguide with a thick obstacle [PDF]
, 2004 The problem of finding necessary and sufficient condi-tions for the existence of trapped modes in waveguides has been known since 1943. [10]. The problem is the following: consider an infinite strip M in xs211D2(or an infinite cylinder with the smooth ...
Parnovski, L, Hawkins, H
core
The exact Laplacian spectrum for the Dyson hierarchical network. [PDF]
Sci Rep, 2017 Agliari E, Tavani F.
europepmc +1 more source
International Journal of Mathematics and Mathematical SciencesFor the Weinstein Laplacian considered on the Hilbert space which makes it a self-adjoint operator, the Von Neumann spectral decomposition is given. As applications, a new integral representation for the Weinstein heat kernel is given. Also, it is proved
Abdelilah El Mourni +2 more
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