Research output: Contribution to journal › Article › peer-review
Let Ω ⊂ ℝ2 be a countably connected domain. With any closed differential form of degree 1 in Ω with components in L2(Ω) one associates the sequence of its periods around the holes in Ω that is around the bounded connected components of ℝ2 \ Ω. For which Ω the collection of such period sequences coincides with ℓ2 We give an answer in terms of metric properties of holes in Ω.
| Translated title of the contribution | Интерполяция по периодам в плоской области |
|---|---|
| Original language | English |
| Pages (from-to) | 597-669 |
| Number of pages | 73 |
| Journal | St. Petersburg Mathematical Journal |
| Volume | 28 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Jan 2017 |
ID: 36498082