Single Scale Analysis of Many Fermion Systems. Part 3: Sectorized Norms

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The generic renormalization group map associated to a weakly coupled system of fermions at temperature zero is treated by supplementing the methods of Part 1. The interplay between position and momentum space is captured by `sectors'. It is shown that the difference between the complete four legged vertex and its `ladder' part is irrelevant for the sequence of renormalization group maps.
82 pages, 6 figures

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