Abstract
It is well known that the history of Walsh series began with Haar’s(Hungarian Mathematician Alfred Haar) dissertation of 1909 Zur Theories Orthogonal Function system in which Haar system was introduced. Supervisor of Haar, David Hilbert at Göttingen university asked him to find an orthonormal system on the interval whose Fourier series of continuous functions converges uniformly. He constructed the system which is under discussion in this chapter, now known as Haar system provided answer to the problem posed by Hilbert.
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Farkov, Y.A., Manchanda, P., Siddiqi, A.H. (2019). Haar–Fourier Analysis. In: Construction of Wavelets Through Walsh Functions. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-6370-2_3
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DOI: https://doi.org/10.1007/978-981-13-6370-2_3
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