Fourier series of a function (B spline) are given by: $$s(x)=\sum_{j=-\infty}^{\infty}\operatorname{sinc}\Bigl[\pi\frac{j}{K}\Bigr]^{p}\exp[2\pi ijx]$$

But B-spline has only finite support. How to see it using its Fourier series representation?

The Fourier series of a function (B-spline) is given by: $$s(x)=\sum_{j=-\infty}^{\infty}\operatorname{sinc}\Bigl[\pi\frac{j}{K}\Bigr]^{p}\exp[2\pi ijx]$$

But the B-spline has only finite support. How can one see this using its Fourier series representation?

Fourier series of a function(B spline) are given by: $$s(x)=\sum_{j=-\infty}^{\infty}sinc[\pi\frac{j}{K}]^{p}exp[2\pi ijx]$$

But B-spline has only finite support. How to see it using its Fourier series representation?

Fourier series of a function  (B spline) are given by: $$s(x)=\sum_{j=-\infty}^{\infty}\operatorname{sinc}\Bigl[\pi\frac{j}{K}\Bigr]^{p}\exp[2\pi ijx]$$

But B-spline has only finite support. How to see it using its Fourier series representation?

Fourier series of a function(B spline) are given by: $$s(x)=\sum_{j=-\infty}^{\infty}sinc[\pi\frac{s}{K}]^{p}exp[2\pi isx]$$

But B-spline has only finite support. How to see it using its Fourier series representation?

Fourier series of a function(B spline) are given by: $$s(x)=\sum_{j=-\infty}^{\infty}sinc[\pi\frac{j}{K}]^{p}exp[2\pi ijx]$$

But B-spline has only finite support. How to see it using its Fourier series representation?