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Abstract Spaces and Approximation / Abstrakte Räume und Approximation

Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, July 18–27, 1968 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 18. bis 27. Juli 1968

  • Editors
  • P. L. Butzer
  • B. Szőkefalvi-Nagy

Table of contents

  1. Front Matter
    Pages 1-17
  2. Jean Favard 1902–1965

    1. G. Alexits, M. Zamansky
      Pages 19-24
  3. Operator Theory

    1. Front Matter
      Pages 25-25
    2. P. R. Halmos
      Pages 26-30
    3. R. S. Phillips
      Pages 67-71
    4. Béla Sz.-Nagy
      Pages 72-81
  4. Interpolation and Approximation on Banach Spaces

  5. Harmonic Analysis and Approximation

  6. Algebraic and Complex Approximation

  7. Numerical and Spline Approximation, Differential Equations

  8. Back Matter
    Pages 423-423

About this book

Introduction

The present conference took place at Oberwolfach, July 18-27, 1968, as a direct follow-up on a meeting on Approximation Theory [1] held there from August 4-10, 1963. The emphasis was on theoretical aspects of approximation, rather than the numerical side. Particular importance was placed on the related fields of functional analysis and operator theory. Thirty-nine papers were presented at the conference and one more was subsequently submitted in writing. All of these are included in these proceedings. In addition there is areport on new and unsolved problems based upon a special problem session and later communications from the partici­ pants. A special role is played by the survey papers also presented in full. They cover a broad range of topics, including invariant subspaces, scattering theory, Wiener-Hopf equations, interpolation theorems, contraction operators, approximation in Banach spaces, etc. The papers have been classified according to subject matter into five chapters, but it needs little emphasis that such thematic groupings are necessarily arbitrary to some extent. The Proceedings are dedicated to the memory of Jean Favard. It was Favard who gave the Oberwolfach Conference of 1963 a special impetus and whose absence was deeply regretted this time. An appreciation of his li fe and contributions was presented verbally by Georges Alexits, while the written version bears the signa­ tures of both Alexits and Marc Zamansky. Our particular thanks are due to E.

Keywords

addition approximation approximation theory banach spaces boundary element method communication function functional functional analysis interpolation Mathematica operator scattering theory theorem time

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-5869-4
  • Copyright Information Birkhäuser Basel 1969
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-5871-7
  • Online ISBN 978-3-0348-5869-4
  • Series Online ISSN 2296-6072
  • Buy this book on publisher's site