Thời gian: 9h30, thứ 3, ngày 23/9/2014

Địa điểm: Phòng 4, Nhà A14, Viện Toán học, 18 Hoàng Quốc Việt Cầu Giấy, Hà nội

Tóm tắt: In this paper, in order to study the boundedness of a case of the acoustic field in Lp(R+; dx) and its asymptotic behavior, we introduce a new generalized convolution for the Kontorovich-Lebedev (KL) and the Fourier transforms, and a new presentation of the acoustic field via this generalized convolution. The existence and boundedness of the new generalized convolution are obtained. Moreover, an analog of Watson’s theorem in which we obtain the necessary and sufficient conditions for a class of isomorphisms-isometric generalized convolution transforms is considered.