The resources of the semantic web could be of great use to professional philosophers working in the analytic tradition. Given the highly structured and rapidly evolving nature of the state of the art in analytic discussions, it is argued that a semantic wiki would be the most appropriate tool to represent in a dynamic way the evolution of the state of the art. The massive collaboration of philo...

Localization properties of generalized functions defined on a broad class of test function spaces consisting of entire analytic functions are studied. This class includes the Gelfand–Shilov spaces S α(R ) with β < 1 and provides a flexible distribution-theoretic framework for the treatment of quantum fields with a highly singular infrared behavior. It is shown that the notion of carrier cone wh...

We study analytic properties of the Witten zeta function W(r, s, t), which is also named after Mordell and Tornheim. In particular, we evaluate the function W(s, s, τs) (τ > 0) at s = 0 and, as our main result, find the derivative of this function at s = 0. Our principal tool is an identity due to Crandall that involves a free parameter and provides an analytic continuation. Furthermore, we der...

The analytic aspects of the operator realization of Wick power series of infrared singular free fields are considered. Taking advantage of the holomorphy properties of the two-point correlation function and its Hilbert majorant in x-space, we solve in a general and model independent way the problem of finding the adequate test function space on which a given Wick series is convergent. Substanti...

Phonological ganging is a type of cumulativity in constraint interaction where one strong constraint C1 can be overtaken by two weaker constraints C2 and C3 together but not by C2 or C3 independently (e.g., Jäger and Rosenbach 2006). In strict-ranking Optimality Theory (OT), phonological ganging is achieved via (local) constraint conjunction (e.g., Smolensky 1993, 2006; Baković 2000; Ito and Me...

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...