Hermite展开与弱函数乘法的性质(英文)

Hermite Expansions and Properties of Multiplication of Weak Functions

根据丁夏畦院士利用Hermite展开定义的弱函数和广义弱函数以及函数的乘法等概念,来进一步研究弱函数乘法的相关性质,并证明了弱函数的乘法满足交换律、分配律和Leibniz法则,但不满足结合律。

Based on the definitions of weak function, generalized weak function and multiplication of weak functions through Hennite expansions by Ding Xiaqu, we study the properties of multiplication of weak functions. It is proved that the multiplication of weak functions obeys the eommutative law, the distributive law and the Leibniz rule, but not obeys the associative lwa.