Abstract
In chapter II we have seen that the theory of analytic functions plays an important role when one wants to characterize support properties in momentum space by properties in configuration space. For the further development of the theory of local observables one has to look at the interplay between the spectrum condition in momentum space and the locality condition in configuration space. The main tool for treating such problems has turned out, so far, to be the theory of analytic functions. This chapter is devoted to a presentation of these techniques.KeywordsWave EquationAnalytic ContinuationConfiguration SpaceSupporting PointReal PointThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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