can we find a set of Orthogonal Polynomials so in the limit $ n \rightarrow \infty $ satisfty $ \frac{\sin(x)}{x}= \frac{p_{2n}(x)}{p_{2n}(0)} $
the set of orthogonal polynomials satisfy $ \int_{-\infty}^{\infty}dx w(x) P_{n}(x)P_{m}(x)= \delta _{n}^{m} $ and the measure $ w(x) \ge 0 $ and $ w(x)=w(-x) $ is this problem solvable