Publication Date:
1979-01-01
Description:
Certain classes of analytic functions in tube domainsTC=ℝn+iCinn-dimensional complex space, whereCis an open connected cone inℝn, are studied. We show that the functions have a boundedness property in the strong topology of the space of tempered distributionsg′. 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 ofg′.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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