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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
1
vote
Confusion around uniform integrability and Vitali convergence theorem
This is a comment which I hope will be of interest to you, but it will be too long for this format. The type of conditions that you mention were analysed in some detail by Walter Schachermayer in the …
3
votes
Fourier transform of periodic distributions
This is a comment rather than an answer but it will be too long. There is a confusion in your statement which I find rather irritating and which has not, as far as I can see, been addressed here. I …