Timeline for On the spectrum of Fokker–Planck with linear drift

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May 31, 2023 at 17:16	comment	added	Giorgio Metafune		It shoud follow by writing $f=\sum_k c_k u_k$ and computing $Lf$ by the recursion formulas. Then $Lf=\lambda f$ gives $c_{k+2}\sqrt{(k+2)(k+1)}=(\lambda+k)c_k$ and, after choosing $c_0$ or $c_1$ one imposes that the $(c_k)$ are square summable.
May 31, 2023 at 14:20	history	edited	mathamphetamine	CC BY-SA 4.0	added 67 characters in body
May 31, 2023 at 14:19	comment	added	mathamphetamine		@GiorgioMetafune Thanks, I see how we can derive the condition on $\lambda$ from the series formula. Do you any thoughts on the main claim ?
May 31, 2023 at 10:12	comment	added	Giorgio Metafune		Writing $\sum_n a_n$, I checked (for the first series) that $a_{n+1}/a_n=(1+(\lambda-3/2)/n+O(n^{-2}))$. Taking logarithms and summing you get $a_n \equiv Cn^{\lambda-3/2}$ which gives the result.
S May 31, 2023 at 3:36	history	edited	LSpice	CC BY-SA 4.0	Tidying
May 31, 2023 at 3:35	review	Suggested edits
S May 31, 2023 at 3:36
May 30, 2023 at 21:06	history	edited	mathamphetamine	CC BY-SA 4.0	deleted 38 characters in body
May 30, 2023 at 20:57	history	edited	mathamphetamine	CC BY-SA 4.0	deleted 3 characters in body
May 30, 2023 at 20:51	history	edited	mathamphetamine	CC BY-SA 4.0	added 64 characters in body
May 30, 2023 at 20:11	history	asked	mathamphetamine	CC BY-SA 4.0