Analysis Meets Geometry

The Mikael Passare Memorial Volume

Mats Andersson, Jan Boman, Christer Kiselman, Pavel Kurasov, Ragnar Sigurdsson (Herausgeber)

Buch | Hardcover

VIII, 466 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-52469-6 (ISBN)

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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.- 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.

Erscheinungsdatum	19.09.2017
Reihe/Serie	Trends in Mathematics
Zusatzinfo	VIII, 466 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Analysis • analytic spaces • Complex analysis, complex variables • Differential calculus and equations • Geometry • Mathematics • mathematics and statistics • Partial differential equations • Several Complex Variables • Several Complex Variables and Analytic Spaces • tropical geometry
ISBN-10	3-319-52469-0 / 3319524690
ISBN-13	978-3-319-52469-6 / 9783319524696
Zustand	Neuware