An analog of Watson's theorem, generalized convolution for the Kontorovich-Lebedev, Fourier transforms and applications to acoustic fields.
Speaker: Pham Van Hoang

Time: 9h30, 23/09/2014

Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract: 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. 

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