Representation of the Fourier Transform of Distributions in $K'_{p,k}$, $k<0$


Saleh Abdullah




In this note we give a structure theorem of the distributions in the space $K'_{p,k}$, $k<0$, which is a subspace of the space of distributions which grow no faster than $e^{|x|^p} $, $p>1$, and use this structure theorem to give a representation of the Fourier transform of the distributions in these spaces.