Operator product expansions as a consequence of phase space properties

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The paper presents a model-independent, nonperturbative proof of operator product expansions in quantum field theory. As an input, a recently proposed phase space condition is used that allows a precise description of point field structures. Based on the product expansions, we also define and analyze normal products (in the sense of Zimmermann).
v3: minor wording changes, as to appear in J. Math. Phys.; 12 pages

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