Total Positivity and Its Applications

  • Mariano Gasca
  • Charles A. Micchelli

Part of the Mathematics and Its Applications book series (MAIA, volume 359)

Table of contents

  1. Front Matter
    Pages i-x
  2. Spline Functions

    1. Front Matter
      Pages 1-1
    2. Tom Lyche, Larry L. Schumaker
      Pages 35-46
    3. Knut Mørken
      Pages 47-84
  3. Matrix Theory

    1. Front Matter
      Pages 95-95
    2. Mariano Gasca, Juan M. Peña
      Pages 109-130
  4. Geometric Modeling

    1. Front Matter
      Pages 131-131
    2. J. M. Carnicer, J. M. Peña
      Pages 133-155
    3. Tim N. T. Goodman
      Pages 157-186
    4. Marie-Laurence Mazure, Helmut Pottnann
      Pages 187-218
  5. Probability and Mathematical Biology

  6. Approximation Theory

    1. Front Matter
      Pages 275-275
    2. J. M. Carnicer, J. M. Peña
      Pages 277-300
    3. R. A. Zalik
      Pages 301-332
  7. Complex Analysis

    1. Front Matter
      Pages 333-333
  8. Statistics

  9. Real Analysis

    1. Front Matter
      Pages 401-401
    2. Rong-Qing Jia
      Pages 403-427
    3. Samuel Karlin
      Pages 429-432
  10. Combinatorics

    1. Front Matter
      Pages 449-449
  11. Integral Equations

    1. Front Matter
      Pages 475-475
  12. Back Matter
    Pages 513-518

About this book


This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994. There were present at the meeting almost fifty researchers from fourteen countries. Their interest in thesubject of Total Positivity made for a stimulating and fruitful exchange of scientific information. Interest to participate in the meeting exceeded our expectations. Regrettably, budgetary constraints forced us to restriet the number of attendees. Professor S. Karlin, of Stanford University, who planned to attend the meeting had to cancel his participation at the last moment. Nonetheless, his almost universal spiritual presence energized and inspired all of us in Jaca. More than anyone, he influenced the content, style and quality of the presentations given at the meeting. Every article in these Proceedings (except some by Karlin hirnself) references his influential treatise Total Positivity, Volume I, Stanford University Press, 1968. Since its appearance, this book has intrigued and inspired the minds of many researchers (one of us, in his formative years, read the galley proofs and the other of us first doubted its value but then later became its totally committed disciple). All of us present at the meeting encourage Professor Karlin to return to the task of completing the anxiously awaited Volume 11 of Total Positivity.


Interpolation Matrix Matrix Theory Vertex numerical quadrature real analysis

Editors and affiliations

  • Mariano Gasca
    • 1
  • Charles A. Micchelli
    • 2
  1. 1.Department of Applied MathematicsUniversity of ZaragozaZaragozaSpain
  2. 2.IBMT.J. Watson Research CenterYorktown HeightsUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1996
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4667-3
  • Online ISBN 978-94-015-8674-0
  • Buy this book on publisher's site
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