The Paley-Wiener theorem in the non-commutative and non-associative octonions  

作　　者：LI XingMin PENG LiZhong QIAN Tao 

机构地区：[1]School of Computer,South China Normal University,Guangzhou 510631,China [2]LMAM,School of Computer,Peking University,Beijing 100871,China [3]Faculty of Science and Technology,the University of Macao,3001,Macao

出　　处：《Science China Mathematics》2009年第1期129-141,共13页中国科学：数学（英文版）

基　　金：supported by the National Basic Research Program of China (Grant No. 1999075105);the National Natural Science Foundation of China (Grant No. 10471002);Research Foundation for Doctoral Programm (Grant No. 20050574002)

摘　　要：The Paley-Wiener theorem in the non-commutative and non-associative octonion analytic function space is proved.The Paley-Wiener theorem in the non-commutative and non-associative octonion analytic function space is proved.

关 键 词：octonionic exponential function octonionic Taylor expansion Fourier transform Paley-Weiner theorem 42B35 30G35 17A35 

分 类 号：O151.24[理学—数学]