Abstract
D. Bernoulli, D’ Alembert, Lagrange, and Euler, from about 1740 onward, were led by problems in mathematical physics to consider and discuss heatedly the possibility of representing a more or less arbitrary function f with period 2n as the sum of a trigonometric series of the form
or of the formally equivalent series in its so-called “complex” form
in which, on writing b0 = 0, the coefficients cn are given by the formulae
This discussion sparked off one of the crises in the development of analysis.
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© 1979 Springer-Verlag New York, Inc.
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Edwards, R.E. (1979). Trigonometric Series and Fourier Series. In: Fourier Series. Graduate Texts in Mathematics, vol 64. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6208-4_1
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DOI: https://doi.org/10.1007/978-1-4612-6208-4_1
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