Журнал СФУ. Математика и физика / Generalized Convolutions for the Fourier Integral Transforms and Applications

Полный текст (.pdf)
Номер
Журнал СФУ. Математика и физика. 2008 1 (4)
Авторы
Bui Thi Giang; Nguyen Minh Tuan
Контактная информация
Bui Thi Giang: Department of Basic Science Institute of Cryptography Science 141 Chien Thang Str., Hanoi Vietnam; Nguyen Minh Tuan: Department of Mathematical Analysis University of Hanoi 334 Nguyen Trai Str., Hanoi Vietnam, e-mail: ;
Ключевые слова
generalized convolution; normed ring; integral equation of convolution type
Аннотация

This paper provides some generalized convolutions for the Fourier integral transforms and treats the applications. Namely, there are six generalized convolutions with weight-function for the Fourier integral transforms. As for applications, the normed ring structures on L1(Rd) are constructed, and the explicit solution in L1(Rd) of the integral equations with the mixed Toeplitz-Hankel kernel are obtained.

Страницы
371-379
Статья в архиве электронных ресурсов СФУ
https://elib.sfu-kras.ru/handle/2311/820