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Titlebook: Forcing, Arithmetic, Division Rings; Joram Hirschfeld,William H. Wheeler Book 1975 Springer-Verlag Berlin Heidelberg 1975 Arithmetic.Arith

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Gabor Wave Packets and Evolution Operators,We perform a Gabor analysis for a large class of evolution equations with constant coefficients. We show that the corresponding propagators have a very sparse Gabor matrix, displaying off-diagonal exponential decay. The results apply to hyperbolic, weakly hyperbolic and parabolic equations. Some numerical experiments are provided.
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The Problem of Iterates in Some Classes of Ultradifferentiable Functions,We consider the problem of iterates in some spaces of ultradifferentiable classes in the sense of Braun, Meise and Taylor. In particular, we obtain a microlocal version, in this setting of functions, of the “Theorem of the iterates of Kotake and Narasimhan”.
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