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Linear Spaces and Approximation / Lineare Räume und Approximation

Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 20–27,1977 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 20. bis 27. August 1977

  • Conference proceedings
  • © 1978

Overview

Editors:
  1. P. L. Butzer

    1. Lehrstuhl A für Mathematik, RWTH Aachen, Aachen, Western Germany

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  2. B. Szökefalvi-Nagy

    1. József Attila Tudományegyetem, Szeged, Hungary

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 40)

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Table of contents (55 papers)

  1. Harmonic Analysis

    1. Front Matter

      Pages 185-185
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    2. Differentiation on a p-Adic Or p-Series Field

      • C. W. Onneweer
      Pages 187-198

    3. Remarks on the Kronecker’s Approximation Theorem and a Unitary Measure

      • Satoru Igari
      Pages 199-202

    4. Lebesgue Constants for Certain Partial Sums of Fourier Series on Compact Lie Groups

      • Bernd Dreseler
      Pages 203-211

    5. Real Function Methods in Fourier Analysis

      • Miguel de Guzmán
      Pages 213-227

    6. Lipschitz Continuity of Spherical Means

      • Per Sjölin
      Pages 229-234

    7. Multiplier Representations of Sequence Spaces with Applications to Lipschitz Spaces and Spaces of Functions of Generalized Bounded Variation

      • Günther Goes
      Pages 235-245

    8. Multipliers for the Mellin Transformation

      • P. G. Rooney
      Pages 247-249

    9. On a Relation between the Norms of Cesaro Means of Jacobi Expansions

      • E. Görlich, C. Markett
      Pages 251-262

  2. Approximation Processes and Interpolation

    1. Front Matter

      Pages 263-263
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    2. Approximation Et Analyse Harmonique

      • Marc Zamansky
      Pages 265-288

    3. Estimations Involving a Modulus of Continuity for a Generalization of Korovkin’s Operators

      • P. C. Sikkema
      Pages 289-303

    4. Die Lokale Lp — Saturationsklasse des Verfahrens der Integralen Meyer — König und Zeller Operatoren

      • Manfred W. Müller, Volker Maier
      Pages 305-317

    5. Global Approximation Theorems for the Szász-Mirakjan Operators in Exponential Weight Spaces

      • M. Becker, D. Kucharski, R. J. Nessel
      Pages 319-333

    6. Approximation With Monotonic Operators in A-Distance

      • Bl. Sendov
      Pages 335-341

    7. Jackson’s Theorem for Polynomials and Exponential Sums with Restricted Coefficients

      • Manfred v. Golitschek
      Pages 343-358

    8. Birkhoff Quadrature Matrices

      • G. G. Lorentz, S. D. Riemenschneider
      Pages 359-374

    9. On some Problems in Interpolation Theory

      • József Szabados
      Pages 375-380

    10. Bivariate and Multivariate Interpolation with Noncommutative Projectors

      • W. J. Gordon, E. W. Cheney
      Pages 381-387

    11. Über Eine Hypothese von P.P. Korovkin

      • Viktor A. Baskakov
      Pages 389-393
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Keywords

About this book

The publication of Oberwolfach conference books was initiated by Birkhauser Publishers in 1964 with the proceedings of the conference 'On Approximation Theory', conducted by P. L. Butzer (Aachen) and J. Korevaar (Amsterdam). Since that auspicious beginning, others of the Oberwolfach proceedings have appeared in Birkhauser's ISNM series. The present volume is the fifth * edited at Aachen in collaboration with an external institution. It once again ad­ dresses itself to the most recent results on approximation and operator theory, and includes 47 of the 48 lectures presented at Oberwolfach, as well as five articles subsequently submitted by V. A. Baskakov (Moscow), H. Esser (Aachen), G. Lumer (Mons), E. L. Stark (Aachen) and P. M. Tamrazov (Kiev). In addition, there is a section devoted to new and unsolved problems, based upon two special problem sessions augmented by later communications from the participants. Corresponding to the nature of the conference, the aim of the organizers was to solicit both specialized and survey papers, ranging in the broad area of classical and functional analysis, from approximation and interpolation theory to Fourier and harmonic analysis, and to the theory of function spaces and operators. The papers were supplemented by lectures on fields represented for the first time in our series of Oberwolfach Conferences, so for example, complex function theory or probability and sampling theory.

Editors and Affiliations

  • Lehrstuhl A für Mathematik, RWTH Aachen, Aachen, Western Germany

    P. L. Butzer

  • József Attila Tudományegyetem, Szeged, Hungary

    B. Szökefalvi-Nagy

Bibliographic Information

  • Book Title: Linear Spaces and Approximation / Lineare Räume und Approximation

  • Book Subtitle: Proceedings of the Conference held at the Oberwolfach Mathematical Research Institute, Black Forest, August 20–27,1977 / Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, vom 20. bis 27. August 1977

  • Editors: P. L. Butzer, B. Szökefalvi-Nagy

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-7180-8

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1978

  • Softcover ISBN: 978-3-7643-0979-4Published: 01 January 1978

  • eBook ISBN: 978-3-0348-7180-8Published: 08 March 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: 685

  • Number of Illustrations: 4 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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