Strong boundedness of analytic functions in tubes
1979 ◽
Vol 2
(1)
◽
pp. 15-28
Keyword(s):
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′.
1958 ◽
Vol 89
(2)
◽
pp. 450
◽
1990 ◽
Vol 13
(3)
◽
pp. 431-441
2008 ◽
Vol 144
(2)
◽
pp. 495-498
◽
2015 ◽
pp. 133-146
1958 ◽
Vol 89
(2)
◽
pp. 450-450
◽