Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418315 | Journal of Mathematical Analysis and Applications | 2014 | 32 Pages |
Abstract
We deal with a problem of the explicit reconstruction of any holomorphic function f on a ball of C2 from its restrictions on a union of complex lines. The validity of such a reconstruction essentially depends on the mutual repartition of these lines. This criterion can be analytically described and it is also possible to give geometrical sufficient conditions. The motivation of this problem also comes from possible applications in mathematical economics and medical imaging.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Amadeo Irigoyen,