Functional Analysis and Approximation

Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, August 9–16, 1980

  • P. L. Butzer
  • B. Sz.-Nagy
  • E. Görlich

Table of contents

  1. Front Matter
    Pages 1-10
  2. Zur Tagung

    1. P. L. Butzer, E. Görlich, B. Sz.-Nagy
      Pages 11-11
  3. List of Participants

    1. P. L. Butzer, B. Sz.-Nagy, E. Görlich
      Pages 12-14
  4. Program of the Sessions

    1. P. L. Butzer, B. Sz.-Nagy, E. Görlich
      Pages 15-17
  5. Jacob Lionel Bakst Cooper — In Memoriam

  6. A Testimony from a Friend

    1. A. J. W. Hill
      Pages 25-26
  7. Operator Theory

  8. Functional Analysis

    1. Front Matter
      Pages 97-97
    2. Colin Bennett, Robert Sharpley
      Pages 111-116
  9. Abstract Harmonic Analysis

  10. Fourier Analysis and Integral Transforms

  11. Best Approximation

    1. Front Matter
      Pages 246-246
    2. L. Bijvoets, W. Hogeveen, J. Korevaar
      Pages 265-281
    3. Rick Beatson, Charles K. Chui
      Pages 283-296
  12. Approximation by Linear Operators

    1. Front Matter
      Pages 297-297
    2. Pál Erdős, Péter Vértesi
      Pages 299-309
    3. P. C. Sikkema
      Pages 323-334
  13. Strong and Müntz Approximation

  14. Number Theory and Probability

  15. Splines and Numerical Integration

    1. Front Matter
      Pages 407-407
    2. Walter Schempp
      Pages 409-420
    3. Narayan S. Murthy, Charles F. Osgood, Oved Shisha
      Pages 433-442
    4. Eberhard L. Stark
      Pages 443-461

About this book


These Proceedings form a record of the lectures presented at the interna­ tional Conference on Functional Analysis and Approximation held at the Ober­ wolfach Mathematical Research Institute, August 9-16, 1980. They include 33 of the 38 invited conference papers, as well as three papers subsequently submitted in writing. Further, there is a report devoted to new and unsolved problems, based on two special sessions of the conference. The present volume is the sixth Oberwolfach Conference in Birkhauser's ISNM series to be edited at Aachen *. It is once again devoted to more significant results obtained in the wide areas of approximation theory, harmonic analysis, functional analysis, and operator theory during the past three years. Many of the papers solicited not only outline fundamental advances in their fields but also focus on interconnections between the various research areas. The papers in the present volume have been grouped into nine chapters. Chapter I, on operator theory, deals with maps on positive semidefinite opera­ tors, spectral bounds of semigroup operators, evolution equations of diffusion type, the spectral theory of propagators, and generalized inverses. Chapter II, on functional analysis, contains papers on modular approximation, interpolation spaces, and unconditional bases.


Distribution Evolution Operator theory calculus convolution functional analysis harmonic analysis integral transform mathematics

Editors and affiliations

  • P. L. Butzer
    • 1
  • B. Sz.-Nagy
    • 2
  • E. Görlich
    • 1
  1. 1.Lehrstuhl A für MathematikRhein.-Westf. Techn. Hochschule AachenAachenGermany
  2. 2.József Attila TudományegyetemSzegedHungary

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