Abstract:In [Adv. Math. 196 (2005) 310-345] the author introduced a new generalized
function space $\mathcal U(R^k)$ which can be naturally interpreted as the
Fourier transform of the space of Sato's hyperfunctions on $R^k$. It was shown
that all Gelfand--Shilov spaces $S^{\prime 0}_\alpha(R^k)$ ($\alpha>1$) of
analytic functionals are canonically embedded in $\mathcal U(R^k)$. While the
usual definition of support of a generalized function is inapplicable to
elements of $S^{\prime 0}_\alpha(R^k)$ and $\mathcal U(R^k)$… Show more
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