Abstract. We propose the fundamental and two dimensional representation of the Lorentz groups on a (3+1)-dimensional hypercubic lattice, from which representations of higher dimensions can be constructed. For the unitary representation of the discrete translation group we use the kernel of the Fourier transform. From the Dirac representation of the Lorentz group (including reflections) we deriv...

If immigration causes a decrease in social cohesion, then it may also be an important contributing factor in the recent failure of financial institutions. The present analysis finds some evidence for a negative relationship between immigration and volunteering from the Current Population Survey 2004–2008 September Supplements. Various specifications confirm the tendency of immigrant inflows to ...

Decomposition spaces are a class of function constructed out “well-behaved” coverings and partitions unity set. The structure the covering determines properties decomposition space. Besov spaces, shearlet mo

Title: Abstract: I will discuss a new decomposition of the 3D X-ray transform based on the shearlet representation, a multiscale directional representation which is optimally efficient in handling 3D data containing edge singularities. This decomposition yields a highly effective reconstruction algorithm providing a near-optimal rate of convergence in estimating piecewise smooth objects from 3D...

In this chapter, we illustrate the properties of the continuous shearlet transform with respect to its ability to describe the set of singularities of multidimensional functions and distributions. This is of particular interest since singularities and other irregular structures typically carry the most essential information in multidimensional phenomena. Consider, for example, the edges of natu...

Recently, the research towards Brodatz database for texture classification done at considerable amount of study has been published, the effective classification are vulnerable towards for training and test sets. This study presents the novel texture classification method based on feature descriptor, called spatial cooccurrence with discrete shearlet transformation through the LPboosting classif...

In the standard model matter fields form complete representations of a grand unified group whereas Higgs fields belong to incomplete ‘split’ multiplets. This remarkable fact is naturally explained by ‘local grand unification’ in higher-dimensional extensions of the standard model. Here, the generations of matter fields are localized in regions of compact space which are endowed with a GUT gauge...