Recent content by Gaetano F
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Undergrad Trigonometric series with normalised coefficients
Thank you for you reply. I'm not sure this is homework, because it's actually a very tiny part of a research I'm doing in quantum optics. I'm aware this is a special case of Fourier series, that's why it is called trigonometric series. f(x) is a function defined like above, it has no other...- Gaetano F
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- Forum: Linear and Abstract Algebra
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Undergrad Trigonometric series with normalised coefficients
Hi all, I have a trigonometric function series $$f(x)={1 \over 2}{\Lambda _0} + \sum\limits_{l = 1}^\infty {{\Lambda _l}\cos \left( {lx} \right)} $$ with the normalization condition $$\Lambda_0 + 2\sum\limits_{l = 1}^\infty {{\Lambda _l} = 1} $$ and ##\Lambda_l## being monotonic decrescent...- Gaetano F
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- Coefficients Series Series convergence Trigonometric Trigonometric functions
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- Forum: Linear and Abstract Algebra