First Occurring Singularities of Functions in Symplectic Semi-Space
classification
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firstfunctionsoccurringsingularitiessymplecticarnolboundaryclassical
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We explain how a classical theorem by Arnol'd and Melrose on non-singular functions on a symplectic manifold with boundary can be proved in few lines, and we use the same method to obtain a new result, which is a normal form with functional invariants for the first occurring singularities
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