On linear operators with an invariant subspace of functions
| dc.creator | Brihaye, Yves | |
| dc.date | 2004-01-05 | |
| dc.date | 2004-02-09 | |
| dc.date.accessioned | 2026-07-25T22:26:27Z | |
| dc.description | Let us denote ${\cal V}$, the finite dimensional vector spaces of functions of the form $ψ(x) = p_n(x) + f(x) p_m(x)$ where $p_n(x)$ and $p_m(x)$ are arbitrary polynomials of degree at most $n$ and $m$ in the variable $x$ while $f(x)$ represents a fixed function of $x$. Conditions on $m,n$ and $f(x)$ are found such that families of linear differential operators exist which preserve ${\cal V}$. A special emphasis is accorded to the cases where the set of differential operators represents the envelopping algebra of some abstract algebra. | |
| dc.description | 6 pages, LaTeX, discussion extended, reference added | |
| dc.identifier | https://arxiv.org/abs/math-ph/0401005 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0401005 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/89078 | |
| dc.subject | Mathematical Physics | |
| dc.title | On linear operators with an invariant subspace of functions | |
| dc.type | text |