Notions of Positivity and the Geometry of Polynomials

  • Petter Brändén
  • Mikael Passare
  • Mihai Putinar

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Alexandru Aleman, Andreea Sarafoleanu
    Pages 1-15
  3. Mats Andersson, Elizabeth Wulcan
    Pages 17-31
  4. Bo Berndtsson
    Pages 33-37
  5. Jan-Erik Björk, Julius Borcea, Rikard Bøgvad
    Pages 39-62
  6. Petter Brändén, James Haglund, Mirkó Visontai, David G. Wagner
    Pages 63-78
  7. Matej Brešar, Igor Klep
    Pages 79-101
  8. Klaas Deschout, Arno B. J. Kuijlaars
    Pages 115-161
  9. Peter Duren, Harold S. Shapiro
    Pages 163-166
  10. Alexandre Eremenko, Andrei Gabrielov
    Pages 167-178
  11. Michael Gekhtman, Olena Korovnichenko
    Pages 221-237
  12. Björn Gustafsson, Vladimir Tkachev
    Pages 239-257
  13. Mourad Ismail, Plamen Simeonov
    Pages 259-274
  14. C. R. Johnson, C. Marijuán, M. Pisonero, O. Walch
    Pages 275-282
  15. Dmitry Khavinson, Rajesh Pereira, Mihai Putinar, Edward B. Saff, Serguei Shimorin
    Pages 283-309
  16. Thomas M. Liggett, Alexander Vandenberg-Rodes
    Pages 311-329
  17. Kristian Ranestad, Bernd Sturmfels
    Pages 331-344
  18. Bruce Reznick
    Pages 345-373
  19. Bernard Shiffman, Steve Zelditch
    Pages 375-400

About this book


The book consists of solicited articles from a select group of mathematicians and physicists working at the interface between positivity and the geometry, combinatorics or analysis of polynomials of one or several variables. It is dedicated to the memory of Julius Borcea (1968-2009), a distinguished mathematician, Professor at the University of Stockholm. With his extremely original contributions and broad vision, his impact on the topics of the planned volume cannot be underestimated. All contributors knew or have exchanged ideas with Dr. Borcea, and their articles reflect, at least partially, his heritage.


multivariate polynomials positivity

Editors and affiliations

  • Petter Brändén
    • 1
  • Mikael Passare
    • 2
  • Mihai Putinar
    • 3
  1. 1., Department of MathematicsRoyal Institute of TechnologyStockholmSweden
  2. 2., Mathematical DepartmentStockholm UniversityStockholmSweden
  3. 3., Department of MathematicsUniversity of CaliforniaSanta BarbaraUSA

Bibliographic information

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