A Brief History of Self-Reciprocal Functions
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DOI:
https://doi.org/10.18311/jims/1935/17397Abstract
By means of Fourier's Cosine-Integral, a function is, subject to certain conditions, capable of being represented as a repeated integral
f(x)=2/π∫cosux du ∫f(y) cosuy dy
in the interval (0, ∞).