Timeline for Is $f^{-a}$ locally integrable if $f\geq 0$ has a unique stationary point ( a minimum) at which the Hessian is positive definite, $0<a<d/2$
Current License: CC BY-SA 4.0
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| Apr 27, 2023 at 8:26 | comment | added | Bazin | It seems correct, but the Morse lemma is truly the adequate answer (in my opinion), since you do have a normal form for your function near $0$; also the Morse lemma is not difficult to prove and its proof is shorter than you specific argument. | |
| Apr 27, 2023 at 7:24 | comment | added | Medo | I edited the question. Do you find my answer correct ? Thanks | |
| Apr 26, 2023 at 20:26 | history | answered | Bazin | CC BY-SA 4.0 |