Question: Prove that the complex differential operator is self-adjoint with respect to the L2 Hermitian inner product on the vector space of continuously differentiable, complex-valued, 2

Prove that the complex differential operator
Prove that the complex differential operator
is self-adjoint with respect to

is self-adjoint with respect to the L2 Hermitian inner product

Prove that the complex differential operator
is self-adjoint with respect to

on the vector space of continuously differentiable, complex-valued, 2 n periodic functions: n(x + 2Ï€) = u(x).

(u,v)= a(x) V(x) dx

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