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(Solved): using fourier transform convolution. the asterisk is convolution For each \\( a>0 \\) we define the ...



using fourier transform convolution. the asterisk is convolution

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For each \\( a>0 \\) we define the functions \\[ f_{a}(x)=\\left\\{\\begin{array}{ll} 1, & |x|


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.Solution

From the convolution is given as:
  
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