(06/04/2021, 10:25 PM)JmsNxn Wrote: Yes! That was it; I'm glad I don't have to go searching for it. I'm gonna spend some time fiddling with,
I expected to blow your mind dropping those analogies... xD but you are cold as ice. I mean, those regularities are fire... something magic.Quote:\(
(f,x^{\overline{z}}) = \Gamma(z) \frac{d^{-z}}{dw^{-z}}\vartheta\\
(Hf,x^{\overline{z}}) = \Gamma(z) \frac{d^{-z}}{dw^{-z}}H\vartheta\\
\)
...
We are assuming that \( |f(z)| < M \) is bounded for \( \Re(z) > 0 \). We are assuming it takes \( \mathbb{R}^+ \to \mathbb{R}^+ \); and additionally that \( f : \mathbb{C}_{\Re(z) > 0} \to \mathbb{C}_{\Re(z) > 0} \). This is enough for these transforms to converge.
Mmhh but what \( x^{\overline{z}} \) is? I can't follow properly.
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)