) A function f Cx) defines the Fourier tronsfor mation as follows: Î (w) = | f Cx) e - o. Similarly, the inverse ourier trons formation of a known function ê lw) is found os : P (x) = + f(w)e w dw 2π...


) A function f Cx) defines the Fourier tronsfor mation as<br>follows:<br>Î (w) = | f Cx) e<br>- o.<br>Similarly, the inverse ourier trons formation of a known<br>function ê lw) is found os :<br>P (x) = +<br>f(w)e w dw<br>2π<br>- の<br>by looking at this, find the Fourier transform of f ()<br>of the function given be low and verify<br>for<br>a > 0<br>the shope of the function f(x) given to you by calculating<br>the inverse fourier tronsform using the result you found<br>-ax<br>x > O<br>f (x) =<br>X <0<br>

Extracted text: ) A function f Cx) defines the Fourier tronsfor mation as follows: Î (w) = | f Cx) e - o. Similarly, the inverse ourier trons formation of a known function ê lw) is found os : P (x) = + f(w)e w dw 2π - の by looking at this, find the Fourier transform of f () of the function given be low and verify for a > 0 the shope of the function f(x) given to you by calculating the inverse fourier tronsform using the result you found -ax x > O f (x) = X <>

Jun 04, 2022
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