Homework 4

Due: 13 November 2020

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23. page 384, 7.12.1
24. page 384, 7.12.2
25. page 384, 7.12.9
26. page 385, 7.12.22
27. page 389, 7.13.19
28. If a is a real and positive constant, show that that C_ω[f(at)] is (1/a)C_ω[f(t/a)]. Here, C_ω[f(at)] means the Fourier transform of f(at). Show that the above holds for sine and cosine transforms as well.
29. Using the convolution theorem, find the inverses of the Fourier transforms (a) (a+iω)^-2; and (b) (a+iω)^-3.

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