Abstract
We consider convolution equations in the space K e ′ \mathcal {K}_e’ of distributions which "grow" no faster than exp ( e k | x | ) \exp ({e^{k|x|}}) for some constant k k . Our main results are to find conditions for convolution operators to be hypoelliptic in K e ′ \mathcal {K}_e’ in terms of their Fourier transforms.
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