Analysis Meets Geometry (eBook)

Part I.- Mikael Passare: Curriculum Vitae.- Mikael Passare’s Publications.- List of Visited Countries.- G. Passare - My Life with Mikael.- C.O. Kiselman - Mikael Passare (1959–2011).- M. Carlehed - Mikael Passare.- Part II.- Amoebas and Coamoebas of Linear Spaces.- One Parameter Regularizations of Products of Residue Currents.- On the Effective Membership Problem for Polynomial Ideals.- On the Optimal Regularity of Weak Geodesics in the Space of Metrics on a Polarized Manifold.- A Comparison Principle for Bergman Kernels.- Suita Conjecture from the One-dimensional Viewpoint.- Siciak’s Theorem on Separate Analyticity.- Mikael Passare, a Jaunt in Approximation Theory.- Amoebas and their Tropicalizations – a Survey.- Coamoebas of Polynomials Supported on Circuits.- Limit of Green Functions and Ideals, the Case of Four Poles.- Geodesics on Ellipsoids.- Welschinger Invariants Revisited.- Some Results on Amoebas and Coamoebas of Affine Spaces.- Convexity of Marginal Functions in the Discrete Case.- Modules of Square Integrable Holomorphic Germs.- An Effective Uniform Artin–Rees Lemma.- Amoebas of Half-dimensional Varieties.- A log Canonical Threshold Test.- Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials.- Interior Eigenvalue Density of Jordan Matrices with Random Perturbations.