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Roe's theorem revisited

Nils Byrial Andersen
Analysis Seminar
Thursday, 12 December, 2013, at 16:15, in Aud. D3 (1531-215)
Roe's theorem states that a function on the real line, with the property that all its derivatives and antiderivatives (with constants zero) are uniformly bounded, must be a linear combination of sin x and cos x.
The results still hold with considerably weaker growth conditions, and there are also generalizations to invariant differential operators.

I will discuss the connections to real Paley-Wiener theorems, which helps to give a new (and I believe, simpler) proof of the theorem, whilst also shedding light on the optimal form of the growth conditions.
Contact person: Bent Ørsted