Titlebook: Algebraic and Analytic Microlocal Analysis; AAMA, Evanston, Illi Michael Hitrik,Dmitry Tamarkin,Steve Zelditch Conference proceedings 2018

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Upper Bounds for Bergman Kernels Associated to Positive Line Bundles with Smooth Hermitian Metricsmptotically as the power . tends to infinity. The line bundle is assumed to be equipped with a Hermitian metric with positive curvature form, which is . but not necessarily real analytic. The bounds are of the form . where . tends to infinity at a non-universal rate. This form is best possible.

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Two Minicourses on Analytic Microlocal Analysisniversity in May 2013. The first part of the text gives an elementary introduction to some global aspects of the theory of metaplectic FBI transforms, while the second part develops the general techniques of the analytic microlocal analysis in exponentially weighted spaces of holomorphic functions.

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Conference proceedings 2018s, geodesics in the space of K?hler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.

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