图书简介
This book is dedicated to the memory of Mikael Passare, an outstanding Swedish mathematician who devoted his life to developing the theory of analytic functions in several complex variables and exploring geometric ideas first-hand. It includes several papers describing Mikael?s life as well as his contributions to mathematics, written by friends of Mikael?s who share his attitude and passion for science. A major section of the book presents original research articles that further develop Mikael?s ideas and which were written by his former students and co-authors. All these mathematicians work at the interface of analysis and geometry, and Mikael?s impact on their research cannot be underestimated. Most of the contributors were invited speakers at the conference organized at Stockholm University in his honor. This book is an attempt to express our gratitude towards this great mathematician, who left us full of energy and new creative mathematical ideas.
Part I.- Mikael Passare: Curriculum Vitae.-燤ikael Passare?s Publications.-燣ist of Visited Countries.-燝. Passare -燤y Life with Mikael.-燙.O. Kiselman -燤ikael Passare (1959?2011).-燤. Carlehed -燤ikael Passare.- Part II.-燗moebas and Coamoebas of Linear Spaces.-燨ne Parameter Regularizations of Products of Residue Currents.-燨n the Effective Membership Problem for Polynomial Ideals.- On the Optimal Regularity of Weak Geodesics in the Space of燤etrics on a Polarized Manifold.-燗 Comparison Principle for Bergman Kernels.-燬uita Conjecture from the One-dimensional Viewpoint.-燬iciak?s Theorem on Separate Analyticity.-燤ikael Passare, a Jaunt in Approximation Theory.-燗moebas and their Tropicalizations ? a Survey.-燙oamoebas of Polynomials Supported on Circuits.-燣imit of Green Functions and Ideals, the Case of Four Poles.-燝eodesics on Ellipsoids.-燱elschinger Invariants Revisited.-燬ome Results on Amoebas and Coamoebas of Affine Spaces.-燙onvexity of Marginal Functions in the Discrete Case.-燤odules of Square Integrable Holomorphic Germs.-燗n Effective Uniform Artin?Rees Lemma.-燗moebas of Half-dimensional Varieties.-燗 log Canonical Threshold Test.-燫oot-counting Measures of Jacobi Polynomials and Topological燭ypes and Critical Geodesics of Related Quadratic Differentials.-營nterior Eigenvalue Density of Jordan Matrices with Random燩erturbations.
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