On an identity for the iterated weighted spherical mean and its applications

Spherical means are well-known useful tool in the theory of partial differential equations with applications to solving hyperbolic and ultrahyperbolic equations and problems of integral geometry, tomography and Radon transforms.We generalize iterated spherical means to weighted ones based on generalized translation operators and consider applications to B-hyperbolic equations and transmission tomography problems. © 2016 Shishkina, E.L., Sitnik, S.M.

Авторы
Shishkina E.L.1 , Sitnik S.M. 2, 3
Издательство
Sobolev Institute of Mathematics
Язык
Русский
Страницы
849-860
Статус
Опубликовано
Том
13
Год
2016
Организации
  • 1 Voronezh State University, Universitetskaya pl. 1, Voronezh, 394000, Russian Federation
  • 2 Voronezh Institute of the Ministry of Internal Affairs, pr. Patriotov, 53, Voronezh, 394065, Russian Federation
  • 3 Peoples' Friendship University of Russia, M. - Maklaya str., 6, Moscow, 117198, Russian Federation
Ключевые слова
B-hyperbolic equation; Integral geometry; Iterated means; Spherical means; Tomography; Weighted means; Àsgeirsson theorem
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/4304/