Given the operator defined by
How do I find adjoint of ? I'm totally lost as to how to go about doing this. Thanks in advance!
In an inner product space, the "adjoint" of a linear transformation, A, is the linear transformation A* such that <Au, v>= <u, A*v>. Here the inner product is . So you are looking for A* such that . Do the integrals on the left and find the function A* that makes the right side equal to that. I would suggest using "integration by parts".