Humi, Mayer Factorisation of separable partial differential equations. (English) Zbl 0633.35079 J. Phys. A 20, 4577-4585 (1987). We study the factorization of partial differential equations which admit a separation of variables. As a particular application we study the algebraic structure of the resulting raising and lowering operators for the spherical harmonics in three and four dimensions. Cited in 4 Documents MSC: 35Q99 Partial differential equations of mathematical physics and other areas of application 47F05 General theory of partial differential operators Keywords:factorization; separation of variables; algebraic structure; spherical harmonics PDFBibTeX XMLCite \textit{M. Humi}, J. Phys. A, Math. Gen. 20, 4577--4585 (1987; Zbl 0633.35079) Full Text: DOI