The analytic signal of a real signal is a standard concept in 1D signal processing. However, the deenition of an analytic signal for real 2D signals is not possible by a straightforward extension of the 1D deenition. There rather occur several diierent approaches in the literature. We review the main approaches and propose a new deenition which is based on the recently introduced quaternionic F...

We consider a labelled tableau presentation of constant domain rst-order S5 and prove a strong cut-elimination theorem.

In this paper, we derive an analytic representation of the eigenvectors and coefficients for in-plane rotated images. This, on the one hand, allows an efficient PCA-basis calculation in the learning stage and on the other hand a direct computation of the rotation angle in the recognition stage. In the experimental section, we demonstrate that the new method is feasible and the recognition and o...

We study the phenomena of radiative-driven shock waves using a semi-analytic model based on self similar solutions radiative hydrodynamic problem. The relation between hohlraum drive temperature $T_{\mathrm{Rad}}$ and resulting ablative $D_S$ is well-known method for estimation temperature. However, various studies yield different scaling relations $D_S$, simulations. In [T. Shussman S.I. Heizl...

Analytic surgery, as defined in [9] and [6], is a one-parameter metric deformation of a Riemannian manifold M , which stretches M across a separating hypersurface H in a cylindrical fashion; the singular limit is a complete manifold with asymptotically cylindrical ends, M . In this paper, the analysis of [9] and [6] is used to study the behaviour of analytic torsion of unitary representations u...

One of the questions frequently asked nowadays about model theory is whether it is still logic. The reason for asking the question is mainly that more and more of model theoretic research focuses on concrete mathematical fields, uses extensively their tools and attacks their inner problems. Nevertheless the logical roots in the case of model theoretic geometric stability theory are not only cle...

This paper presents a comprehensive overview of Ultra-Wideband (UWB) measurements of all the empirical data available on various fading properties of the indoor radiowave communication channel. Our focus is on the essential propagation channel parameters which is used in the physics-based models. This overview is based on more than 50 measurement campaigns from 24 working groups in different co...