The injectivity of the pompeiu transform andL p -analogues of the Wiener-Tauberian theorem

Аналоги Свойства Лиувилля Для Гармонических Функций На Неограниченных Областях

“…[12,13]), что указанное условие убывания функции f точное. Теорема Йона получила дальнейшее развитие и уточнение в разных направлениях [14][15][16][17][18][19][20][21][22][23]. Во-первых, изучались ее обобщения для функций f , удовлетворяющих уравнению свертки f * T = 0, где T заданное ненулевое распределение в R n с компактным носителем.…”

The two-sided Pompeiu problem for discrete groups

“…It is known that disks of positive radius do not have the Pompeiu property, see [15,Section 6] and the references therein for the details. The Pompeiu problem and some of its variations have been studied in various contexts, see [1,3,11,13,14,15] and the references therein for more information.…”

The Pompeiu problem and discrete groups

“…The answer to this two radius problem is also yes as long as the quotient r 1 /r 2 avoids a certain exceptional subset, depending on n, of R. For more information see [15,Section 11]. The Pompeiu problem and some of its variations have been studied in various contexts, see [1,2,4,11,13,14,15] and the references therein for more information.…”