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(iii) Next let us modify the inner product space by introducing a weight function w(x) e-a and considering functions from (-0, ∞) rather than the interval. The new inner product is (f\g) = / f*(x)g(x)w(x)dx.

(iii) Next let us modify the inner product space by introducing a weight function w(x) e-a and considering functions from (-0, ∞) rather than the interval. The new inner product is (f\g) = / f*(x)g(x)w(x)dx.

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My question is: Is x2 a normalizable function with respect to this inner product defined in the image?

(iii) Next let us modify the inner product space by introducing a weight function w( and considering functions from (-o, 0) rather than the interval. The new inner product is e (f\g) = / f*(x)g(x)w(x)dx.
Transcribed Image Text:(iii) Next let us modify the inner product space by introducing a weight function w( and considering functions from (-o, 0) rather than the interval. The new inner product is e (f\g) = / f*(x)g(x)w(x)dx.
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