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Walsh Series and Transforms

Theory and Applications

  • Book
  • © 1991

Overview

Authors:
  1. B. Golubov

    1. Moscow Institute of Engineering, Moscow, USSR

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  2. A. Efimov

    1. Moscow Institute of Engineering, Moscow, USSR

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  3. V. Skvortsov

    1. Moscow State University, Moscow, USSR

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

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  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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Keywords

Authors and Affiliations

  • Moscow Institute of Engineering, Moscow, USSR

    B. Golubov, A. Efimov

  • Moscow State University, Moscow, USSR

    V. Skvortsov

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

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1991

  • Hardcover ISBN: 978-0-7923-1100-3Published: 28 February 1991

  • Softcover ISBN: 978-94-010-5452-2Published: 30 October 2012

  • eBook ISBN: 978-94-011-3288-6Published: 06 December 2012

  • Series ISSN: 0169-6378

  • Edition Number: 1

  • Number of Pages: XIII, 368

  • Additional Information: Originally published in Russian

  • Topics: Fourier Analysis, Computational Mathematics and Numerical Analysis, Processor Architectures

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