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3 | LaTeX fix | ||
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Fourier series of a function(B function (B spline) are given by: $$s(x)=\sum_{j=-\infty}^{\infty}sinc[\pi\frac{j}{K}]^{p}exp[2\pi $s(x)=\sum_{j=-\infty}^{\infty}\operatorname{sinc}\Bigl[\pi\frac{j}{K}\Bigr]^{p}\exp[2\pi ijx]$$ But B-spline has only finite support. How to see it using its Fourier series representation? |
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2 | corrected problem with the index in the right hand side of the formula | ||
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Fourier series of a function(B spline) are given by: $$s(x)=\sum_{j=-\infty}^{\infty}sinc[\pi\frac{s}{K}]^{p}exp[2\pi isx]$$$s(x)=\sum_{j=-\infty}^{\infty}sinc[\pi\frac{j}{K}]^{p}exp[2\pi ijx]$$ But B-spline has only finite support. How to see it using its Fourier series representation? |
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fourier series of b-splineFourier series of a function(B spline) are given by: $$s(x)=\sum_{j=-\infty}^{\infty}sinc[\pi\frac{s}{K}]^{p}exp[2\pi isx]$$ But B-spline has only finite support. How to see it using its Fourier series representation?
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