Convex additively slowly varying functions

AbstractWe study the problem of subtraction of slowly varying functions. It is well-known that the difference of two slowly varying functions need not be slowly varying and we look for some additional conditions which guarantee the slow variation of the difference. To this end we consider all possible decompositions L=F+G of a given increasing convex additively slowly varying function L into a sum of two increasing convex functions F and G. We characterize the class of functions L for which in every such decomposition the summands are necessarily additively slowly varying. The class OΠ2+ we obtain is related to the well-known class OΠg where, instead of first order differences as in OΠg, we have second order differences

Power as well as Persuasion: Political Communication and Party Development

This extract is taken from the author's original manuscript and has not been reviewed or edited. The definitive version of this extract may be found in the work, Political Communication Transformed by Bartle and Griffiths, which can be purchased from www.palgrave.com.In the run-up to and during the 1997 general election political discourse was dominated by references to the supposed power and influence of the so-called 'spin doctors' and 'image makers'. These terms are often, and quite erroneously, used interchangeably. Those charged with 'doctoring' the 'spin' are primarily concerned with managing so-called 'free' media which is the coverage given politicians by print and broadcast journalists. Working in tandem with this group, the 'image makers' are those marketing experts charged with interpreting popular opinion and developing a strategy to promote their particular party, candidate or leader by use of 'paid' or 'controlled' communications such as advertising...

Homogeneous cones and abelian theorems

This paper deals with analysis on homogeneous cones in ℝn. This subject has its origins in one-dimensional topics that are connected, often implicitely, with some group properties. The homogeneous cones are open convex cones in ℝn that are at the same time homogeneous spaces, and they are more general than the classical, or symmetric cones. As an example of application of the theory of homogeneous cones we study the asymptotic behaviour of some integral transforms