  It is well-known that the Fourier coefficients of Siegel-Eisenstein series
can be expressed in terms of the Siegel series. The functional equation of the
Siegel series of a quadratic form over $\mathbb{Q}_p$ was first proved by
Katsurada. In this paper, we prove the functional equation of the Siegel series
over a non-archimedean local field by using the representation theoretic
argument by Kudla and Sweet.
