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© 1991

Walsh Series and Transforms

Theory and Applications

Book

Part of the Mathematics and Its Applications book series (MASS, volume 64)

Table of contents

  1. Front Matter
    Pages i-xiii
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  2. Walsh Functions and Their Generalizations
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 1-33
  3. Walsh-Fourier Series. Basic Properties
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 34-69
  4. General Walsh Series and Fourier-Stieltjes Series. Questions on Uniqueness of Representations of Functions by Walsh Series
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 70-93
  5. Summability of Walsh Series by the Method of Arithmetic Means
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 94-111
  6. Operators in the Theory of Walsh-Fourier Series
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 112-126
  7. Generalized Multiplicative Transforms
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 127-152
  8. Walsh Series with Monotone Decreasing Coefficients
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 153-172
  9. Lacunary Subsystems of the Walsh System
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 173-193
  10. Divergent Walsh-Fourier Series. Almost Everywhere Convergence of Walsh-Fourier Series of L2 Functions
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 194-212
  11. Approximations by Walsh and HAAR Polynomials
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 213-259
  12. Applications of Multiplicative Series and Transforms to Digital Information Processing
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 260-309
  13. Other Applications of Multiplicative Functions and Transformations
    B. Golubov, A. Efimov, V. Skvortsov
    Pages 310-339
  14. Back Matter
    Pages 341-368
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About this book

Keywords

Approximation Hilbert space Maxima algorithms image processing

Authors and affiliations

  1. 1.Moscow Institute of EngineeringMoscowUSSR
  2. 2.Moscow State UniversityMoscowUSSR

Bibliographic information

  • Book Title Walsh Series and Transforms
  • Book Subtitle Theory and Applications
  • Authors B. Golubov
    A. Efimov
    V. Skvortsov
  • Series Title Mathematics and Its Applications
  • DOI https://doi.org/10.1007/978-94-011-3288-6
  • Copyright Information Kluwer Academic Publishers 1991
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-7923-1100-3
  • Softcover ISBN 978-94-010-5452-2
  • eBook ISBN 978-94-011-3288-6
  • Series ISSN 0169-6378
  • Edition Number 1
  • Number of Pages XIII, 368
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published in Russian
  • Topics Fourier Analysis
    Computational Mathematics and Numerical Analysis
    Processor Architectures
  • Buy this book on publisher's site