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Minimum Norm Extremals in Function Spaces

With Applications to Classical and Modern Analysis

  • Book
  • © 1975

Overview

Authors:
  1. Stephen D. Fisher
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  2. Joseph W. Jerome
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 479)

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Table of contents (18 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  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. Stable and unstable elastica equilibrium and the problem of minimum curvature

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 90-106

  12. Approximation by extremals of nonlinear differential expressions in one variable and quadratic forms in several variables

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 107-133

  13. The trigonometric and algebraic favard problem

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 134-150

  14. Minimization and interpolation at integer points of the real axis

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 151-163

  15. The Landau problem and Kolmogorov’s theorem

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 164-171

  16. Perfect interpolating splines on compact intervals

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 172-176

  17. A pólya algorithm for the favard solution, N-width characterizations and Whitney type theorems

    • Stephen D. Fisher, Joseph W. Jerome
    Pages 177-194

  18. Application of the Riesz-Fredholm-Schauder theory to spline functions

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

  19. Epilogue

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

  20. Back Matter

    Pages 208-209
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Keywords

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: 978-3-540-07394-9Published: 01 September 1975

  • eBook ISBN: 978-3-540-37599-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 214

  • Topics: Analysis

  • Industry Sectors: Energy, Utilities & Environment, Engineering, IT & Software

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