Abstract
Carleman formulae with a holomorphic kernel and integration over a boundary set of maximum dimension are obtained. These formulae have a uniqueness property: if a limit in the formula exists, it gives exactly the function which was an integrand. The Cauchy formula and its multidimensional analogies lack this property. The Carleman formulae are proved by approximating the kernel (M.M. Lavrent'ev's method).
| Original language | English |
|---|---|
| Pages (from-to) | 169-176 |
| Number of pages | 8 |
| Journal | Journal of Inverse and Ill-Posed Problems |
| Volume | 1 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jan 1993 |
| Externally published | Yes |
Bibliographical note
Funding Information:*Institute of Physics, Russia 660036, Krasnoyarsk-36, Akademgorodok. This research was supported by the Russian foundation for fundamental research, grant No.93-011-258.
Funding
*Institute of Physics, Russia 660036, Krasnoyarsk-36, Akademgorodok. This research was supported by the Russian foundation for fundamental research, grant No.93-011-258.
| Funders | Funder number |
|---|---|
| Russian foundation for fundamental research |