Limits of functions and elliptic operators
| dc.creator | Gadgil, Siddhartha | |
| dc.date | 2004-06-28 | |
| dc.date.accessioned | 2026-07-07T05:09:46Z | |
| dc.date.available | 2026-07-07T05:09:46Z | |
| dc.description | We show that a subspace $S$ of the space of real analytical functions on a manifold that satisfies certain regularity properties is contained in the set of solutions of a linear elliptic differential equation. The regularity properties are that $S$ is closed in $L^2(M)$ and that if a sequence of functions $f_n$ in $S$ converges in $L^2(M)$, then so do the partial derivatives of the functions $f_n$. | |
| dc.description | 6 pages, no figures, no tables | |
| dc.identifier | https://arxiv.org/abs/math/0406569 | |
| dc.identifier | http://arxiv.org/abs/math/0406569 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 2, May 2004, pp. 153-158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71704 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58J05, 32C05 | |
| dc.title | Limits of functions and elliptic operators | |
| dc.type | text |