Аннотация
The momentum ray transform I k integrates a rank m symmetric tensor field f over lines of with the weight t k: We give the range characterization for the operator on the Schwartz space of rank m smooth fast decaying tensor fields. In dimensions, the range is characterized by certain differential equations of order which generalize the classical John equations. In the two-dimensional case, the range is characterized by certain integral conditions which generalize the classical Gelfand-Helgason-Ludwig conditions.
Язык оригинала | английский |
---|---|
Номер статьи | 045009 |
Число страниц | 33 |
Журнал | Inverse Problems |
Том | 36 |
Номер выпуска | 4 |
DOI | |
Состояние | Опубликовано - апр 2020 |