Browsing by Subject "Fourier analysis"
Now showing items 1-9 of 9
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Article
Functional deconvolution in a periodic setting: Uniform case
(2009)We extend deconvolution in a periodic setting to deal with functional data. The resulting functional deconvolution model can be viewed as a generalization of a multitude of inverse problems in mathematical physics where ...
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A grid-free abstraction of the Navier-Stokes equations in Fortran 95/2003
(2008)Computational complexity theory inspires a grid-free abstraction of the Navier-Stokes equations in Fortran 95/2003. A novel complexity analysis estimates that structured programming time grows at least quadratically with ...
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Article
Manganese citrate chemistry: Syntheses, spectroscopic studies, and structural characterizations of novel mononuclear, water-soluble manganese citrate complexes
(2000)The first two mononuclear manganese citrate complexes, (NH4)4[Mn(II)(C6H5O7)2] (1) and (NH4)5[Mn(III)(C6H4O7)2]·2H2O (2) were synthesized in aqueous solutions near physiological pH values. They were isolated in their pure ...
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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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Multichannel deconvolution with long-range dependence: A minimax study
(2014)We consider the problem of estimating the unknown response function in the multichannel deconvolution model with long-range dependent Gaussian or sub-Gaussian errors. We do not limit our consideration to a specific type ...
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On convergence rates equivalency and sampling strategies in functional deconvolution models
(2010)Using the asymptotical minimax framework, we examine convergence rates equivalency between a continuous functional deconvolution model and its real-life discrete counterpart over a wide range of Besov balls and for the ...
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On Locally Dyadic Stationary Processes
(2017)We introduce the concept of local dyadic stationarity, to account for nonstationary time series, within the framework of Walsh-Fourier analysis. We define and study time-varying, dyadic, autoregressive, moving average ...
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Article
Rapidly sheared homogeneous stratified turbulence in a rotating frame
(2007)Rapid distortion theory is applied to stratified homogeneous turbulence that is sheared in a rotating frame. Insight into the stabilizing and destabilizing effects of the combined stratification and frame rotation is gained ...
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Wavelet analysis and its statistical applications
(2000)In recent years there has been a considerable development in the use of wavelet methods in statistics. As a result, we are now at the stage where it is reasonable to consider such methods to be another standard tool of the ...