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Hegemonialmächte im Vorderen und Mittleren Orient : die Dritte Partei in internationalen Konflikten
(1997)
During the last five decades hegemons played an important role in de-escalating international conflicts in the subregion defined as the core of Oriens Islamicus. Statistical analysis of large datasets shows that half of all conflicts remained without any interference from the hegemonial powers at all - both on global scale and in the subregion. In all other cases however, hegemons (especially super-powers in the role of patrons) tended more often to act as (power-) mediators when their client-state was engaged in conflict with a client of the opposing superpower in Oriens Islamicus than they did on global scale. They did this in their own interest in order to avoid direct involvement, i.e. possible danger of a nuclear escalation. In contrast to conventional mediation theory they were more effective in conflict de-escalation than other mediators, especially in conflicts between Israel and its Arab neighbours. The end of bipolarity in the international system also brought this mechanism of de-escalation to an end. It leaves the hegemon(s) as a potentially powerful third party on the one hand, but on the other their inclination to become involved in regional conflict remains rather diminished as long as the basic national interests in the area are not at stake.
The paper is an enquiry into dynamic social contract theory. The social contract defines the rules of resource use. An intergenerational social contract in an economy with a single exhaustible resource is examined within a framework of an overlapping generations model. It is assumed that new generations do not accept the old social contract, and access to resources will be renegotiated between any incumbent generation and their successors. It turns out that later generations will be in an unfortunate position regardless of their bargaining power.
The paper contains the proof of the index formula for manifolds with conical points. For operators subject to an additional condition of spectral symmetry, the index is expressed as the sum of multiplicities of spectral points of the conormal symbol (indicial family) and the integral from the Atiyah-Singer form over the smooth part of the manifold. The obtained formula is illustrated by the example of the Euler operator on a two-dimensional manifold with conical singular point.
It is shown that the Hankel transformation Hsub(v) acts in a class of weighted Sobolev spaces. Especially, the isometric mapping property of Hsub(v) which holds on L²(IRsub(+),rdr) is extended to spaces of arbitrary Sobolev order. The novelty in the approach consists in using techniques developed by B.-W. Schulze and others to treat the half-line Rsub(+) as a manifold with a conical singularity at r = 0. This is achieved by pointing out a connection between the Hankel transformation and the Mellin transformation.The procedure proposed leads at the same time to a short proof of the Hankel inversion formula. An application to the existence and higher regularity of solutions, including their asymptotics, to the 1-1-dimensional edge-degenerated wave equation is given.
For general elliptic pseudodifferential operators on manifolds with singular points, we prove an algebraic index formula. In this formula the symbolic contributions from the interior and from the singular points are explicitly singled out. For two-dimensional manifolds, the interior contribution is reduced to the Atiyah-Singer integral over the cosphere bundle while two additional terms arise. The first of the two is one half of the 'eta' invariant associated to the conormal symbol of the operator at singular points. The second term is also completely determined by the conormal symbol. The example of the Cauchy-Riemann operator on the complex plane shows that all the three terms may be non-zero.
In the preceding paper we proved an explicit index formula for elliptic pseudodifferential operators on a two-dimensional manifold with conical points. Apart from the Atiyah-Singer integral, it contains two additional terms, one of the two being the 'eta' invariant defined by the conormal symbol. In this paper we clarify the meaning of the additional terms for differential operators.