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1. The problem statement, all variables and given/known data

For What Values of [tex]\psi(x)=\frac{1}{x^{\alpha}}[/tex] belong in a Hilbert Sapce?

2. Relevant equations

[tex]\int x^{a}=\frac{1}{a+1} x^{a+1} [/tex]

3. The attempt at a solution

I tried to use the condition that function in Hilbert space should satisfy:

[tex]\int\psi^{2}=A[/tex] but it seems always infinite exist in x=0 or x=infinite

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# Homework Help: Hilbert Space

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