Representation of One-Parameter Semi-Groups of Linear Transformations

On One-Sided Ideals of Rings of Linear Transformations

Lie Theory of Semi-groups of Linear Transformations

Such families arise in the most varied branches of classical and of modern analysis and are interesting for their own sake as well as for the many applications. An extension to the w-parameter case was presented to the Society in October 1944 (abstract 51-1-15). Here the parameter a = (au ai, • • • , an) is a vector in ^-dimensional real euclidean space En, the operators T(a) are denned for non...

on one-sided ideals of rings of linear transformations

Hyperspectral Image Classification Based on the Fusion of the Features Generated by Sparse Representation Methods, Linear and Non-linear Transformations

The ability of recording the high resolution spectral signature of earth surface would be the most important feature of hyperspectral sensors. On the other hand, classification of hyperspectral imagery is known as one of the methods to extracting information from these remote sensing data sources. Despite the high potential of hyperspectral images in the information content point of view, there...

Representation Growth of Linear Groups

Let Γ be a group and rn(Γ) the number of its n-dimensional irreducible complex representations. We define and study the associated representation zeta function ZΓ(s) = ∞ ∑ n=1 rn(Γ)n . When Γ is an arithmetic group satisfying the congruence subgroup property then ZΓ(s) has an “Euler factorization”. The “factor at infinity” is sometimes called the “Witten zeta function” counting the rational rep...