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Results tagged with real-analysis
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user 204122
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
3
votes
Accepted
What is the distribution of the following limit?
This question already has an impeccable answer but I would like to give a second one in the hope that it might be of interest to the OP. Before so doing, I will list the properties of distributions ( …
- 266
7
votes
Nonseparable counterexamples in analysis
As seen in some contributions here, non separability of a Banach space can lead to pathology in the properties of measures or measurable functions with values therein. As an example of this phenomeno …
9
votes
Nonseparable counterexamples in analysis
One situation which highlights the difference between separability and non separability is that of an important class of locally convex spaces which fail many of the properties which are relevant to c …
13
votes
How to generalize the various vector calculus theorems to distributions?
This is an addition to Dirk's answer. It is of course impossible to give an all-embracing answer to your question—there are so many identities. But the general answer is a resounding YES. The proof …
- 266