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Analysis Meets Geometry

The Mikael Passare Memorial Volume

  • Book
  • © 2017

Overview

Editors:
  1. Mats Andersson

    1. Department of Mathematics, Chalmers University of Technology , Göteborg, Sweden

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  2. Jan Boman

    1. Department of Mathematics, Stockholm University, Stockholm, Sweden

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  3. Christer Kiselman

    1. Department of Information Technology, Uppsala University, Uppsala, Sweden

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  4. Pavel Kurasov

    1. Department of Mathematics, Stockholm University, Stockholm, Sweden

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  5. Ragnar Sigurdsson

    1. Science Institute, University of Iceland, Reykjavik, Iceland

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  • Introduces the reader to the theory of functions of several complex variables
  • Explains geometric ideas
  • Presents papers on the border between analysis and geometry

Part of the book series: Trends in Mathematics (TM)

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-viii
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  2. Memorial Contributions

    1. Front Matter

      Pages 1-2
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    2. Mikael Passare

      • Galina Passare, Mats Andersson, Jan Boman, Christer Kiselman, Pavel Kurasov, Ragnar Sigurdsson
      Pages 3-33

    3. Mikael Passare (1959–2011)

      • Christer O. Kiselman
      Pages 35-57

    4. Mikael Passare

      • Magnus Carlehed, Mats Andersson, Jan Boman, Christer Kiselman, Pavel Kurasov, Ragnar Sigurdsson
      Pages 59-60

  3. Research Articles

    1. Front Matter

      Pages 61-61
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    2. Amoebas and Coamoebas of Linear Spaces

      • Mounir Nisse, Mikael Passare
      Pages 63-80

    3. One Parameter Regularizations of Products of Residue Currents

      • Mats Andersson, Håkan Samuelsson Kalm, Elizabeth Wulcan, Alain Yger
      Pages 81-90

    4. On the Effective Membership Problem for Polynomial Ideals

      • Mats Andersson, Elizabeth Wulcan
      Pages 91-109

    5. On the Optimal Regularity of Weak Geodesics in the Space of Metrics on a Polarized Manifold

      • Robert J. Berman
      Pages 111-120

    6. A Comparison Principle for Bergman Kernels

      • Bo Berndtsson
      Pages 121-126

    7. Suita Conjecture from the One-dimensional Viewpoint

      • Zbigniew Błocki
      Pages 127-133

    8. Siciak’s Theorem on Separate Analyticity

      • Jan Boman
      Pages 135-145

    9. Mikael Passare, a Jaunt in Approximation Theory

      • Jean-Paul Calvi
      Pages 147-156

    10. Amoebas and their Tropicalizations – a Survey

      • Timo de Wolff
      Pages 157-190

    11. Coamoebas of Polynomials Supported on Circuits

      • Jens Forsgård
      Pages 191-212

    12. Limit of Green Functions and Ideals, the Case of Four Poles

      • Duong Quang Hai, Pascal J. Thomas
      Pages 213-227

    13. Geodesics on Ellipsoids

      • Jens Hoppe
      Pages 229-238

    14. Welschinger Invariants Revisited

      • Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin
      Pages 239-260

    15. Some Results on Amoebas and Coamoebas of Affine Spaces

      • Petter Johansson
      Pages 261-285
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, Chalmers University of Technology , Göteborg, Sweden

    Mats Andersson

  • Department of Mathematics, Stockholm University, Stockholm, Sweden

    Jan Boman, Pavel Kurasov

  • Department of Information Technology, Uppsala University, Uppsala, Sweden

    Christer Kiselman

  • Science Institute, University of Iceland, Reykjavik, Iceland

    Ragnar Sigurdsson

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