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  • Book
  • © 1975

Minimum Norm Extremals in Function Spaces

With Applications to Classical and Modern Analysis

Part of the book series: Lecture Notes in Mathematics (LNM, volume 479)

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  • ISBN: 978-3-540-37599-9
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Table of contents (18 chapters)

  1. Front Matter

    Pages I-VIII
  2. Introduction

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 1-11
  3. Nonlinear minimization problems

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 12-22
  4. Minimization with linear operators

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 23-32
  5. Nonlinear operators in LP, 1 < p ≤ ∞

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 33-46
  6. L∞ Minimization problems for elliptic operators

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 47-53
  7. L1 minimization in one and several variables

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 54-63
  8. Sets of uniqueness in L∞ minimization problems

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 64-72
  9. Bang-Bang optimal controls

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 73-84
  10. A general theorem of Kuhn-Tucker type

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 85-89
  11. The trigonometric and algebraic favard problem

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 134-150
  12. Minimization and interpolation at integer points of the real axis

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 151-163
  13. The Landau problem and Kolmogorov’s theorem

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 164-171
  14. Perfect interpolating splines on compact intervals

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 172-176
  15. Application of the Riesz-Fredholm-Schauder theory to spline functions

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 195-205
  16. Epilogue

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 206-207
  17. Back Matter

    Pages 208-209

Keywords

  • Approximation
  • Function
  • Funktionenraum
  • Variationsrechnung
  • calculus
  • differential equation
  • extrema
  • minimum

Bibliographic Information

  • Book Title: Minimum Norm Extremals in Function Spaces

  • Book Subtitle: With Applications to Classical and Modern Analysis

  • Authors: Stephen D. Fisher, Joseph W. Jerome

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0097059

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1975

  • Softcover ISBN: 978-3-540-07394-9

  • eBook ISBN: 978-3-540-37599-9

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 214

  • Topics: Analysis

Buying options

eBook USD 54.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-37599-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 69.99
Price excludes VAT (USA)