e的-(t^2+iwt)次方对t在负无穷到正无穷积分怎么算

2025-01-20 17:00:38
推荐回答(1个)
回答1:

这是广义积分,用分部积分法,
S(e的-(t^2+iwt)次方,t,-inf,+inf)dt
=S(e的-(t^2+iwt)次方,t,-inf,+inf)dt

解得
exp(-1/4*w^2)*pi^(1/2)