APM346-2015S > HA10

HA10 Problem 3

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Victor Ivrii:
Consider distributions now. Calculate right from the definition

a. $x^3\delta''(x)$;
b. $x^2\delta''(x)$;
c. $x^2\delta '''(x)$.

The results may be written through $\delta$-function or its derivatives of the smallest possible order.

Chaojie Li:
My answer

Mark Nunez:
Different answers.  :-\

Victor Ivrii:
Mark is completely correct. Chaojie gave a correct answer to b, correct but unfinished to a (he got $2x\delta$ but this is just $0$—see Mark's solution)

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