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Apr 7, 2020 at 14:33 comment added Daniele Tampieri Yes, that work is a clever and modern study on some slightly shaded aspects of functional analysis. If I could give one more advice, I’ll say to have a look at the book by Hille and Phillips, where the theory is however developed in Banach algebras, so in general the product of two functions is meaningful and belongs to the same space.
Apr 7, 2020 at 14:11 comment added JustWannaKnow @DanieleTampieri thanks so much!! Seems an amazing reference!
Apr 7, 2020 at 6:47 comment added Daniele Tampieri Will, just an observation: in the monograph linked by prof. Michor in his answer at pages 73-77 and 116, there are some interesting insights on how the functional calculus evolved.
Apr 7, 2020 at 0:06 history became hot network question
Apr 6, 2020 at 18:32 vote accept JustWannaKnow
Apr 6, 2020 at 18:09 answer added Alexander Schmeding timeline score: 6
Apr 6, 2020 at 17:38 history edited JustWannaKnow CC BY-SA 4.0
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Apr 6, 2020 at 17:21 history edited JustWannaKnow
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Apr 6, 2020 at 17:20 comment added JustWannaKnow Ok. I'll replace it by a more adequate one.
Apr 6, 2020 at 17:17 comment added YCor I still don't see the link with distributions. 'schwartz-distribution' is a tag about distributions, not about Schwartz functions.
Apr 6, 2020 at 17:13 comment added JustWannaKnow I thought that if such a result exits, it'd be possible to be best known for more especific spaces like $\mathcal{S}(\mathbb{R}^{n})$.
Apr 6, 2020 at 17:08 comment added YCor Why did you put the 'distributions' tag?
Apr 6, 2020 at 17:08 history edited YCor CC BY-SA 4.0
removed capitals from title
Apr 6, 2020 at 16:04 history asked JustWannaKnow CC BY-SA 4.0