The table below shows some useful Fourier Transforms of common functions. For each case the function...
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The table below shows some useful Fourier Transforms of common functions. For each case the function f(x) is given (second column of the table) along with its graph (first column). The third column gives g(k)√27, where g(k)= F(f). 433 aH(r), Re(a) > 0 ez H(-2), Re (a) >0 e aH(2)+eH(-x), a > 0 e-H (2)-eª H(-2), a>0 0-∞<I<-T -T<<0 0<x<s a b 0 8<<∞ H(x) = 1 a + ik 1 a-ik 2a a²+k² -2ik a²+k² Calculate g(k) for the last two cases in the table, and check if you reproduce the result shown in the table. You will need the definition of the Heaviside function H(x): 1 for x>0 0 for x < 0 [(b-a) +aeikr-be-ika] The table below shows some useful Fourier Transforms of common functions. For each case the function f(x) is given (second column of the table) along with its graph (first column). The third column gives g(k)√27, where g(k)= F(f). 433 aH(r), Re(a) > 0 ez H(-2), Re (a) >0 e aH(2)+eH(-x), a > 0 e-H (2)-eª H(-2), a>0 0-∞<I<-T -T<<0 0<x<s a b 0 8<<∞ H(x) = 1 a + ik 1 a-ik 2a a²+k² -2ik a²+k² Calculate g(k) for the last two cases in the table, and check if you reproduce the result shown in the table. You will need the definition of the Heaviside function H(x): 1 for x>0 0 for x < 0 [(b-a) +aeikr-be-ika]
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Related Book For
Fundamentals of Corporate Finance
ISBN: 978-0077861629
8th edition
Authors: Richard Brealey, Stewart Myers, Alan Marcus
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