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Article

On L2 -functions with bounded spectrum

Sbornik Mathematics. 2012. Vol. 203. No. 11. P. 1647-1653.
Translator: V. V. Lebedev.

We consider the Paley--Wiener spaces of L2-functions whose Fourier transform has a bounded support. We show that every continuous mapping that generates a superposition operator acting on these spaces is affine and injective.