%0 Journal Article
%T Strong boundedness of analytic functions in tubes
%A Richard D. Carmichael
%J International Journal of Mathematics and Mathematical Sciences
%D 1979
%I Hindawi Publishing Corporation
%R 10.1155/s0161171279000028
%X Certain classes of analytic functions in tube domains TC= бщ    n+iC in n-dimensional complex space, where C is an open connected cone in  бщ    n, are studied. We show that the functions have a boundedness property in the strong topology of the space of tempered distributions g бщ ? 2. We further give a direct proof that each analytic function attains the Fourier transform of its spectral function as distributional boundary value in the strong (and weak) topology of g бщ ? 2.
%K analytic function in tubes
%K strong boundedness
%K tempered distributions
%K distributional boundary value.
%U http://dx.doi.org/10.1155/S0161171279000028