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here is my solution
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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