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Titlebook: Geometric Methods in Physics XXXV; Workshop and Summer Piotr Kielanowski,Anatol Odzijewicz,Emma Previato Conference proceedings 2018 Sprin

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In Memory of S. Twareque Ali,We remember a valued colleague and dear friend, S. Twareque Ali, who passed away unexpectedly in January 2016.
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Formal Normal Forms for Germs of Vector Fields with Quadratic Leading Part. The Rational First IntegWe complete classification of germs of plane vector fields with quadratic leading part initiated in [1]. There were two cases completely analyzed, a simplest one and a most complex one. Here we study the remaining cases. In the proofs we use a new method introduced in the work [2] concerning the Bogdanov–Takens singularity.
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Weighted Szegő KernelsIn this paper we define a weighted Szegő kernel by putting a measurable almost everywhere positive function μ under the inner product integral and try to answer which conditions it must satisfy in order to give a ‘good generalization’ of a classical case.
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