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Results tagged with fa.functional-analysis
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user 146152
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
1
vote
0
answers
66
views
Order of ultradistribution
I know that the order of any distribution of compact support is finite. Is this true in the case of ultra distribution of compact support ( dual of Denjoy-Carleman space)?
- 75
2
votes
1
answer
204
views
Relation between Gevrey space $G^s$ and Schwartz space $S$
I want to decide whether there is a relation between the Gevrey space $G^s(\mathbb{R}^m)\;(s>1)$ and the schwartz space of rapidly decreasing functions $S(\mathbb{R}^m)$. I know that polynomials are i …
- 16.2k
2
votes
1
answer
186
views
The inclusion $G^s\subset C^\infty$ is strict [closed]
I'm studying the Gevrey class $G^s,\;s>1$, which is a subset of the $C^\infty$ class. I want to find an example of a function that is $C^\infty$ but not $G^s$.
- 4,432