On linear operators with an invariant subspace of functions

Details On linear operators with an invariant subspace of functions On linear operators with an invariant subspace of functions

2004-01-05

arxiv.org/abs/math-ph/0401005v2

Physics

Mathematical Physics

6 pages, LaTeX, discussion extended, reference added

Scientific paper

Let us denote ${\cal V}$, the finite dimensional vector spaces of functions of the form $\psi(x) = p_n(x) + f(x) p_m(x)$ 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.

Affiliated with

Also associated with

No associations

Rating

On linear operators with an invariant subspace of functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On linear operators with an invariant subspace of functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On linear operators with an invariant subspace of functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-288365