Question: Exercise Is Closed under Multiplication and Differentia - tion ) . Show that if f , ginS ( R ) , then the products f

Exercise Is Closed under Multiplication and Differentia-
tion). Show that if f,ginS(R), then the products fg,xkf(x) for all
k0, and e-2ixf(x) for all inR belong to S(R). Show also that
the derivatives f(l) belong to S(R), for all l0.
Our first examples of Schwartz functions are the compactly sup-
ported functions in C(R). DO NOT USE FKING CHAT GTP!!!!! I NEED THIS FK QUESTION FK ANSWER (CORRECT ANSWER!!) I really want to quit your chegg VIP I send three question not even one is right
Exercise Is Closed under Multiplication and Differentia- tion). Show that if

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