Richard D. Carmichael, "Strong boundedness of analytic functions in tubes", International Journal of Mathematics and Mathematical Sciences, vol. 2, Article ID 609627, 14 pages, 1979. https://doi.org/10.1155/S0161171279000028
Strong boundedness of analytic functions in tubes
Certain classes of analytic functions in tube domains in -dimensional complex space, where is an open connected cone in , are studied. We show that the functions have a boundedness property in the strong topology of the space of tempered distributions . 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 .
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