A DISTRIBUTION SPACE FOR FOURIER TRANSFORM  

作　　者：Zhou Chaoying Yang Lihua Huang Daren 

机构地区：[1]School of Mathematics and Computing Science, Sun Yat-sen University, Guangzhou, 510275, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2007年第2期229-234,共6页高校应用数学学报（英文版）（B辑）

基　　金：Supported by NNSF of China (60475042,10631080).

摘　　要：A space Df is constructed and some characterizations of space Df are given. It is shown that the classical Fourier transform is extended to the distribution space Df, which can be embedded into the Schwartz distribution space D＇ continuously. It is also shown that D＇f is the biggest embedded subspace of D on which the extended Fourier transform, f, is a homeomorphism of D＇f onto itself.A space Df is constructed and some characterizations of space Df are given. It is shown that the classical Fourier transform is extended to the distribution space Df, which can be embedded into the Schwartz distribution space D＇ continuously. It is also shown that D＇f is the biggest embedded subspace of D on which the extended Fourier transform, f, is a homeomorphism of D＇f onto itself.

关 键 词：Fourier transform DISTRIBUTION conjugate operator 

分 类 号：O174.2[理学—数学]