Dear researchers,
I have been asking if there is any intricated analysis for infering the Fourier series of csc^2(t) as it seems difficut to find against other functions.
Can let me knowwhat is the correct analysis and deduction of Fourier series of csc^2(t) which can represent all the real values as I need to replace the csc^2(t) by the correct series into a Riemann-Stieltjes integral to lead an anaysis.
Best regards,
Carlos
The Fourier series expansion of csc(t) can only be defined in the sense of distributions.
https://math.stackexchange.com/questions/2948774/where-does-this-derivation-of-the-fourier-series-for-cscx-go-wrong
I expect that in your case - the Fourier series of cosecant squared only makes sense as a distribution.
Truman Prevatt many thanks for that clarification. There many ideas behind forms involving csc and csc^2, certainly not easy function. I have abandoned the approach I wanted initially, as a Fourier series of csc^2 cannot offer stability in the function I wanted to integrate.
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