Нет обложки

The space {\cal P}_n of bivariate generalised Hermite polynomials of degree n is invariant under rotations. We exploit this symmetry to construct an orthonormal basis for {\cal P}_n which consists of the rotations of a single polynomial through the angles {\ell\pi\over n+1} , ℓ=0,...n. Thus we obtain an orthogonal expansion which retains as much of the symmetry of {\cal P}_n as is possible. Indeed we show that a continuous version of this orthogonal expansion exists.

Скачать книгу бесплатно (pdf, 247 Kb)

---

Читать «Hermite polynomials on the plane»