Let G/H be a semisimple symmetric space. The main tool to embed a principal series representation of G into L(G/H) are the H -invariant distribution vectors. If G/H is a non-compactly causal symmetric space, then G/H can be realized as a boundary component of the complex crown Ξ. In this article we construct a minimal G-invariant subdomain ΞH of Ξ with G/H as Shilov boundary. Let π be a spheric...

In this paper, we aim to overcome three major shortcomings of the FDH (Free Disposal Hull) directional distance function through developing two new, named Linear and Fractional CDFDH, complete FDH measures of efficiency. To accomplish this, we integrate the concepts of similarity and FDH directional distance function. We prove that the proposed measures are translation invariant and unit invari...

We investigate the existence of a common hypercyclic vector for family $(T_\lambda)_{\lambda\in \Lambda}$ hypercyclic operators acting on same Banach space $X$. give positive and negative results involving dimension $\Lambda$ regularity each map $\lambda\in \Lambda\mapsto T_\lambda^n x$, $x\in X$, $n\in\mathbb N$.

We use shift-invariant Non-negative Matrix Factorization (NMF) for decomposing continuous-valued time series into a number of characteristic primitives, i.e. the basis vectors, and their activations, which results in a modelindependent and fully data driven parts-based representation. We interpret the basis vectors as short parts of motion that are shared between all trajectories in the data se...

In this paper wewill consider SL(2,R)-valued cocycles over aminimal homeomorphism f : K → K of a compact set K. Such a cocycle can be defined as a pair ( f ,A) where A : K → SL(2,R) is continuous. The cocycle acts on K ×R2 by (x, y) 7→ ( f (x),A(x) · y). The iterates of the cocycle are denoted ( f ,A) = ( f ,An). We say that ( f ,A) is uniformly hyperbolic if there exists ε > 0 and N > 0 such t...

The ability to detect and identify effluent gases is, and will continue to be, of great importance. This would not only aid in the regulation of pollutants but also in treaty enforcement and monitoring the production of weapons. Considering these applications, finding a way to remotely investigate a gaseous emission is highly desirable. This research utilizes hyperspectral imagery in the infrar...

Scale invariance provides a principled reason for the physical importance of Hilbert space, the Virasoro algebra, the string mode expansion, canonical commutators and Schroedinger evolution of states, independent of the assumptions of string theory and quantum theory. The usual properties of dimensionful fields imply an infinite, projective tower of conformal weights associated with the tangent...