Interpolation and Realization Theory with Applications to Control Theory: In Honor of Joe Ball

Vladimir Bolotnikov (Editor), André C.M Ran (Editor), Sanne Ter Horst (Editor), V Vinnikov (Editor)

Research output: Book/ReportBookpeer-review

Abstract

This volume is devoted to Joseph A. (Joe) Ball’s contributions to operator theory and its applications and in celebration of his seventieth birthday. Joe Ball’s career spans over four and a half decades, starting with his work on model theory and related topics for non-contractions and operators on multiply connected domains. Later on, more applied operator theory themes appeared in his work, involving factorization and interpolation for operator-valued functions, with extensive applications in system and control theory. He has worked on nonlinear control, time-varying systems and, more recently, on multidimensional systems and noncommutative H∞-theory on the unit ball and polydisk, and more general domains, and these are only the main themes in his vast oeuvre. Fourteen research papers constitute the core of this volume, written by mathematicians who have collaborated with Joe or have been influenced by his vast mathematical work. A curriculum vitae, a publications list and a list of Joe Ball’s PhD students are included in this volume, as well as personal reminiscences by colleagues and friends. Contributions by Yu. M. Arlinskii, S. Hassi, M. Augat, J. W. Helton, I. Klep, S. McCullough, S. Balasubramanian, U. Wijesooriya, N. Cohen, Q. Fang, S. Gorai, J. Sarkar, G. J. Groenewald, S. ter Horst, J. Jaftha, A. C. M. Ran, M.A. Kaashoek, F. van Schagen, A. Kheifets, Z. A. Lykova, N. J. Young, A. E. Ajibo, R. T. W. Martin, A. Ramanantoanina, M.-J. Y. Ou, H. J. Woerdeman, A. van der Schaft, A. Tannenbaum, T. T. Georgiou, J. O. Deasy and L. Norton.
Original languageEnglish
Place of PublicationCham
PublisherSpringer International Publishing; Imprint: Birkhäuser
Number of pages390
Edition1st ed. 2019
ISBN (Electronic)303011614X, 978-3-030-11614-9
ISBN (Print)978-3-030-11613-2
DOIs
StatePublished - 2019

Publication series

NameOperator Theory: Advances and Applications
PublisherSpringer International Publishing; Imprint: Birkhäuser
Volume272
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Keywords

  • selfadjoint systems
  • holomorphic
  • inverse problem
  • model theory
  • factorization
  • interpolation

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