Consider the linear integral operator, math homework help

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Given the linear operator K : C 0, L  C 0, L defined by


Ku  x    cos  x  y  u  y  dy


Notice that cos  x  y   cos x cos y  sin x sin y . Therefore, Ku  x  is degenerated function since

cos  x  y  can be expressed as a finite sum of separated terms of the form:
n

cos  x  y    i  x  i  y 
i 1

where i , i : 0, L 

are continuous...


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