The wave front set of oscillatory integrals with inhomogeneous phase function
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math-phmath.MP
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phasefrontfunctionsinhomogeneousintegralsorderoscillatorywave
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A generalized notion of oscillatory integrals that allows for inhomogeneous phase functions of arbitrary positive order is introduced. The wave front set of the resulting distributions is characterized in a way that generalizes the well-known result for phase functions that are homogeneous of order one.
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