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Introduction to Walsh Analysis and Wavelets

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Construction of Wavelets Through Walsh Functions

Part of the book series: Industrial and Applied Mathematics ((INAMA))

Abstract

The trigonometric Fourier series has played a very significant role in solving problems of science and technology. The concept of non-trigonometric Fourier series such as Haar–Fourier series and Walsh–Fourier series were introduced by Haar [1] and Walsh [2], respectively; Kaczmarz, Steinhaus, and Paley studied some aspects of Walsh system between 1929 and 1931.

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References

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Authors and Affiliations

  1. Department of Applied Information Technology, School of Public Policy, Russian Presidential Academy of National Economy and Public Administration (RANEPA), Moscow, Russia

    Yu. A. Farkov

  2. Department of Mathematics, Guru Nanak Dev University, Amritsar, Punjab, India

    Pammy Manchanda

  3. School of Basic Sciences and Research and Centre for Advanced Research in Applied Mathematics and Physics, Sharda University, Greater Noida, Uttar Pradesh, India

    Abul Hasan Siddiqi

Authors
  1. Yu. A. Farkov
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  2. Pammy Manchanda
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  3. Abul Hasan Siddiqi
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Correspondence to Yu. A. Farkov .

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Farkov, Y.A., Manchanda, P., Siddiqi, A.H. (2019). Introduction to Walsh Analysis and Wavelets. In: Construction of Wavelets Through Walsh Functions. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-6370-2_1

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