On the Angular Moment Operators of Attenuated Ray Transforms of Scalar 3D-Fields

Результат исследования: Научные публикации в периодических изданияхстатья

Аннотация

Under consideration are the operators of angular moments which map the values ofgeneralized attenuated ray transforms (ART) into the set of symmetric p-tensor fields. The differential relations between thevalues of ARTs of various orders, acting on stationary or dynamic source distributionsf, serve as the basis for establishing the differentialconnections between the tensor fields of angular moments of various orders k and ranks p. The particular cases are indicated allowing us toobtain some previously known results. Connections of the ARTs of order k with the problems of tomography and integralgeometry as well as the established properties and connections between ARTs and angularmoments can be useful as additional information when constructing the iterative algorithms forsolving the problems of dynamic refraction tensor tomography.

Язык оригиналаанглийский
Страницы (с-по)256-264
Число страниц9
ЖурналJournal of Applied and Industrial Mathematics
Том14
Номер выпуска2
DOI
СостояниеОпубликовано - 1 мая 2020

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