Analysis meets geometry : the Mikael Passare memorial volume

Description

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. Front Matter ....Pages i-viii Front Matter ....Pages 1-2 Mikael Passare (Galina Passare, Mats Andersson, Jan Boman, Christer Kiselman, Pavel Kurasov, Ragnar Sigurdsson)....Pages 3-33 Mikael Passare (1959–2011) (Christer O. Kiselman)....Pages 35-57 Mikael Passare (Magnus Carlehed, Mats Andersson, Jan Boman, Christer Kiselman, Pavel Kurasov, Ragnar Sigurdsson)....Pages 59-60 Front Matter ....Pages 61-61 Amoebas and Coamoebas of Linear Spaces (Mounir Nisse, Mikael Passare)....Pages 63-80 One Parameter Regularizations of Products of Residue Currents (Mats Andersson, Håkan Samuelsson Kalm, Elizabeth Wulcan, Alain Yger)....Pages 81-90 On the Effective Membership Problem for Polynomial Ideals (Mats Andersson, Elizabeth Wulcan)....Pages 91-109 On the Optimal Regularity of Weak Geodesics in the Space of Metrics on a Polarized Manifold (Robert J. Berman)....Pages 111-120 A Comparison Principle for Bergman Kernels (Bo Berndtsson)....Pages 121-126 Suita Conjecture from the One-dimensional Viewpoint (Zbigniew Błocki)....Pages 127-133 Siciak’s Theorem on Separate Analyticity (Jan Boman)....Pages 135-145 Mikael Passare, a Jaunt in Approximation Theory (Jean-Paul Calvi)....Pages 147-156 Amoebas and their Tropicalizations – a Survey (Timo de Wolff)....Pages 157-190 Coamoebas of Polynomials Supported on Circuits (Jens Forsgård)....Pages 191-212 Limit of Green Functions and Ideals, the Case of Four Poles (Duong Quang Hai, Pascal J. Thomas)....Pages 213-227 Geodesics on Ellipsoids (Jens Hoppe)....Pages 229-238 Welschinger Invariants Revisited (Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin)....Pages 239-260 Some Results on Amoebas and Coamoebas of Affine Spaces (Petter Johansson)....Pages 261-285 Convexity of Marginal Functions in the Discrete Case (Christer O. Kiselman, Shiva Samieinia)....Pages 287-309 Modules of Square Integrable Holomorphic Germs (László Lempert)....Pages 311-333 An Effective Uniform Artin–Rees Lemma (Johannes Lundqvist)....Pages 335-348 Amoebas of Half-dimensional Varieties (Grigory Mikhalkin)....Pages 349-359 A log Canonical Threshold Test (Alexander Rashkovskii)....Pages 361-368 Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials (Boris Shapiro, Alexander Solynin)....Pages 369-438 Interior Eigenvalue Density of Jordan Matrices with Random Perturbations (Johannes Sjöstrand, Martin Vogel)....Pages 439-466