Browsing by Subject "Convolution"
Now showing items 1-5 of 5
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Article
Centered densities on Lie groups of polynomial volume growth
(2002)We study the asymptotic behavior of the convolution powers φ*n =φ*φ*⋯φ* of a centered density φ on a connected Lie group G of polynomial volume growth. The main tool is a Harnack inequality which is proved by using ideas ...
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Article
Fault-tolerant convolution via chinese remainder codes constructed from non-coprime moduli
(2008)This paper develops a framework for performing fault-tolerant convolution via error-correcting codes based on the chinese remainder theorem (CRT) with non-coprime moduli. In contrast to convolution that is protected through ...
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Article
Multichannel deconvolution with long range dependence: Upper bounds on the Lp-risk (1 ≤ p < ∞)
(2015)We consider multichannel deconvolution in a periodic setting with long-memory errors under three different scenarios for the convolution operators, i.e., super-smooth, regular-smooth and box-car convolutions. We investigate ...
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Article
Random walks on discrete groups of polynomial volume growth
(2002)Let μ be a probability measure with finite support on a discrete group Γ of polynomial volume growth. The main purpose of this paper is to study the asymptotic behavior of the convolution powers μ*n μ. If μ is centered, ...
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Article
Systems of hyperbolic conservation laws with memory
(2007)Global weak solutions of bounded variation to systems of balance laws with non-local source are constructed by the method of vanishing viscosity. Suitable dissipativeness assumptions are imposed on the source terms to ...