Prove that the complex differential operator is self-adjoint with respect to the L2 Hermitian inner product on

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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 n periodic functions: n(x + 2Ï€) = u(x).

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 18, 2016 09:06 AM

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Prove that the complex differential operator is self-adjoint with respect to the L2 Hermitian inner product on

Question:

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

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Use integration by parts where the ...View the full answer

Applied Linear Algebra

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