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S May 1 at 22:02 history bounty ended CommunityBot
S May 1 at 22:02 history notice removed CommunityBot
S Apr 23 at 20:11 history bounty started Dispersion
S Apr 23 at 20:11 history notice added Dispersion Draw attention
Apr 23 at 1:37 comment added Dispersion The reason we consider a measure supported on $L^2$ comes from a quantum de Finetti theorem which tells us that for a natural initial datum, it may be written as the convex combination of tensorized states with respect to exactly a Borel measure supported on $S$.
Apr 23 at 1:29 comment added Dispersion I actually want $\hat{\phi}$ since I am interested for various reason in studying the Gross-Pitaevksi hierarchy with initial data lying in some tensorized version of the space $\mathcal{F}L^1(\mathbb{R}^d)$, one of them being that the space is an algebra.
Apr 23 at 1:17 comment added Liding Yao The Fourier transform is isometry on $L^2(\Bbb R^d)$. Should we better replace $\hat\phi$ by $\phi$?
Apr 22 at 19:14 comment added Dispersion Why the downvote? I am definitely open to editing the question given suggestions to improve it.
Apr 22 at 19:14 history edited Dispersion CC BY-SA 4.0
added 146 characters in body; edited title
Apr 17 at 4:14 history asked Dispersion CC BY-SA 4.0