Edge-of-the-wedge theorem

<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, Bogoliubov's  edge-of-the-wedge theorem implies that <a href="/facts/Holomorphic_function/kVzthtEf">holomorphic functions</a> on two "wedges" with an "edge" in common are <a href="/facts/Analytic_continuation/aBCuEgvt">analytic continuations</a> of each other provided they both give the same continuous function on the edge. It is used in <a href="/facts/Quantum_field_theory/VoewsNJV">quantum field theory</a> to construct the <a href="/facts/Analytic_continuation/aBCuEgvt">analytic continuation</a> of <a href="/facts/Wightman_function/xbPp5tYp">Wightman functions</a>. The formulation and the first proof of the theorem were presented by <a href="/facts/Nikolay_Bogoliubov/39w1trXl">Nikolay Bogoliubov</a> at the International Conference on Theoretical Physics, Seattle, USA (September, 1956) and also published in the book <i>Problems in the Theory of Dispersion Relations</i>. Further proofs and generalizations of the theorem were given by <a href="/facts/Res_Jost/XhtLbAWq">Res Jost</a> and <a href="/facts/Harry_Lehmann/BTrlwDJa">Harry Lehmann</a> (1957), <a href="/facts/Freeman_Dyson/kSRxTh2r">Freeman Dyson</a> (1958), H. Epstein (1960), and by other researchers.
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Edge-of-the-wedge theorem open-in-new

Edge-of-the-wedge theorem