Abstract
The inversion formula for Fourier series obtained in Chapter A2 requires a rather strong condition of summability of the Fourier coefficients series. Moreover, this condition implies that the function itself is almost everywhere equal to a continuous function. In this section, the class of functions for which the inversion formula holds is extended.
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Brémaud, P. (2002). Pointwise Convergence of Fourier Series. In: Mathematical Principles of Signal Processing. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3669-4_3
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DOI: https://doi.org/10.1007/978-1-4757-3669-4_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2956-3
Online ISBN: 978-1-4757-3669-4
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