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Generalized heat kernel related to the operator L^k_m and spectrum
Heat Kernel Dirac-delta distribution Spectrum
2010/9/21
We obtain the solution of such equation which is related to the spectrum and the kernel. Moreover, such the kernel has interesting properties and also related to the kernel of an extension of the heat...
Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder
spectrum the periodic Schrö dinger operator layer smooth cylinder
2010/11/11
We consider the Schr\"odinger operator $H = -\Delta + V$ in a layer or in a $d$-dimensional cylinder. The potential $V$ is assumed to be periodic with respect to some lattice. We establish the absolu...
We construct an algebraic commutative ring T- spectrum BO which is stably fibrant and (8,4)- periodic and such that on SmOp/S the cohomology theory (X,U) -> BO^{p,q}(X_{+}/U_{+}) and Schlichting's he...
Singular continuous spectrum of one-dimensional Schrödinger operator with point interactions on a sparse set
Singular continuous spectrum one-dimensional Schrö dinger operator
2010/11/18
We say that a discrete set $X =\{x_n\}_{n\in\dN_0}$ on the half-line $$0=x_0 < x_1 sparse in the case the distances $\Delta x_n = x_{n+1} -x_n$ between neighboring p...
Wideband Spectrum Sensing at Sub-Nyquist Rates
Wideband Spectrum Sensing Sub-Nyquist Rates
2010/12/15
Spectrum sensing refers to the task of identifying the frequency support of a given input
signal. Standard radio-frequency (RF) lab equipment can provide this functionality. An
example is a spectrum...
Optimal Power Allocation for Secrecy Fading Channels Under Spectrum-Sharing Constraints
Power Allocation Secrecy Fading Channels Spectrum-Sharing Constraints
2010/12/15
In the spectrum-sharing technology, a secondary user may utilize the primary user’s licensed band as long as its interference to the primary user is below a tolerable value. In this paper, we consider...
Corrigendum on the paper: 'Lower Bounds for the Infimum of the Spectrum of the Schr鮠inger Operator in \mathbb{R}^N and the Sobolev Inequalities' published in JIPAM, vol. 3, no. 4. (2002), Article 63
Optimal lower bound infimum spectrum Schrõ dinger operator Sobolev inequality
2008/7/2
This paper is a corrigendum on a paper published in an earlier volume of JIPAM, 'Lower Bounds for the Infimum of the Spectrum of the Schrodinger Operator in and the Sobolev Inequalities' published in...
Lower Bounds for the Infimum of the Spectrum of the Schrödinger Operator in $\mathbb{R}^n$ and the Sobolev Inequalities
Optimal lower bound Infimum spectrum Schrö dinger operator Sobolev inequality
2008/7/1
Lower Bounds for the Infimum of the Spectrum of the Schrödinger Operator in $\mathbb{R}^n$ and the Sobolev Inequalities.