Question: Kindly solve the problem 5 (4) (40 points) Let f : 1R ) C be of moderate decrease and g : R > C in

Kindly solve the problem

5 (4) (40 points) Let f : 1R ) C be of moderate decrease and g : R > C in the Schwartz space. (a) Show that f why) = f (may) holds for all 3,.- in IR. (b) Show that if 9(3) = e_\""'1 for all 1' in R and farg = 0, then f = 0. (You are allowed to use conclusions of homework problems as theorems.)

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