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Titlebook: Analysis Meets Geometry; The Mikael Passare M Mats Andersson,Jan Boman,Ragnar Sigurdsson Book 2017 Springer International Publishing AG 201

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楼主: Halcyon
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State of Development and Research,A personal and informal presentation of the contributions of Mikael Passare to the field of approximation theory.
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Mikael Passare (1959–2011)Mikael Passare was a brilliant mathematician who died much too early. In this chapter we present a sketch of his work and life.
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Mikael PassareI got to know Mikael in the eighties, when I was a PhD student at Stockholm University. I had completed a number of graduate courses and became interested in complex analysis. Mikael was a young lecturer in Stockholm, and our overlapping interest in that subject brought us into each other’s orbits.
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One Parameter Regularizations of Products of Residue CurrentsWe show that Coleff–Herrera type products of residue currents can be defined by analytic continuation of natural functions depending on one complex variable.
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A Comparison Principle for Bergman KernelsWe give a version of the comparison principle from pluripotential theory where the Monge–Ampère measure is replaced by the Bergman kernel and use it to derive a maximum principle.
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