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Feb 4, 2020 at 21:34 comment added JustWannaKnow Thanks for your answer! I followed your advice but I'm still a little confused. As you said, $(F')^{\Lambda}$ should be a function of the remaining fields but this is actually a composite function, as it seems. For instance, the function $F^{\Lambda}$ should be defined over $\Omega$ but it can be written as $F^{\Lambda} = f(\zeta_{j+1},\psi_{j+1})$ for some function $f:\mathbb{R}^{2\Lambda}\to \mathbb{R}$, so that $F^{\Lambda}(\omega) = f(\zeta_{j+1}(\omega),\psi_{j+1}(\omega))$. But Brydges integrates $F^{\Lambda$ over $\mathbb{R}^{\Lambda}$ as some sort of functional integral. I'm lost here.
Feb 4, 2020 at 17:28 history edited Abdelmalek Abdesselam CC BY-SA 4.0
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Feb 4, 2020 at 16:45 history answered Abdelmalek Abdesselam CC BY-SA 4.0