a) Consider the operator(adsbygoogle = window.adsbygoogle || []).push({}); x d/dx(where 1std/dxacts on the function, thenxacts on the resulting function by simply multiplying byx)acting on the set of functions of a real variablexforx>0. What are the eigenvalues and the corresponding eigenfunctions of this operator?

b) What aboutd/dx x(where 1stxacts on the function, thend/dxacts upon the resulting function)? What are the eigenvaules and corresponding eigenfunctions for this?

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# Homework Help: Eigenvalues of the operator x d/dx

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