We use Cramér-Chernoff type estimates in order to study the Calderón-Zygmund structure of kernels ? I ? D a ( ? ) ? x y , and their concentration about mean, where are subgaussian independent random variables { : } is wavelet basis dyadic intervals R . consider both, cases standard smooth wavelets case Haar wavelet.

In this paper we present certain results about the compression of images using wavelets. We concentrate on the simplest case of the Haar decomposition and compression in L. Further results about compression in L, p 6= 2 are mentioned. §

The collocation problem for noisy data with a piecewise constant noise variance is considered. An equivalence to the WIENERKOLMOGOROV equations in stationary collocation theory is constructed. A numerical solution based on HAAR wavelets is given.

Image sequences from functional neuroimaging experiments with 3-D magnetic resonance scans of the human brain were wavelet transformed using a variety of orthogonal and biorthogonal wavelet filters with different treatments of the image borders. Contrary to the expectation that higher-order wavelets with more sophisticated boundary treatments would yield better compression, simple Haar wavelets...

In the present paper Haar wavelet method is implemented on advectiondispersion equation representing one dimensional contaminant transport through a porous medium. Non uniform flow is considered by assuming velocity and dispersion varying with time as an exponentially increasing function. Expressing the Haar wavelets in advection-dispersion equation into Haar series provides the main advantage ...

Abstract. In order to get an efficient representation of images which contain orientated edges we construct a directional wavelet basis for L(R). The wavelets basis consists of Haar wavelets with compact support on triangles. In comparison with the classical wavelet transform our functions offer two more directions (diagonal directions). Applying our simple wavelet system to image denoising and...