Strong boundedness of analytic functions in tubes

Richard D. Carmichael

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-14

Abstract:

Certain classes of analytic functions in tube domains T C = ℝ n + i C in n -dimensional complex space, where C is an open connected cone in ℝ n , are studied. We show that the functions have a boundedness property in the strong topology of the space of tempered distributions g ′ . 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 ′ .

Date: 1979
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2/609627.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2/609627.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:609627

DOI: 10.1155/S0161171279000028

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().