Is there a way to replicate this gaussian blur as vector?

[SHIIFT]

I want to make a gradient that goes along this path, but I do not want to create a gaussian blur or a mesh since I cannot get the right shape. I usually apply this method (gaussian blur) when doing automotive illustrations but it makes the document way too heavy so it is not practical.

[Abambo]

What Adobe tool are you intending to use?

[SHIIFT]

Maybe there is a tool I am missing, but I am up to any solution as long as it does not make my computer crash

[kglad]

you can use animate to create gaussian blurs but you'd probably find it easier to use photoshop, Use the Blur Gallery in Photoshop