Vol. 90, No. 1, 1980

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Analytic functions in tubes which are representable by Fourier-Laplace integrals

Richard D. Carmichael and Elmer Kinji Hayashi

Vol. 90 (1980), No. 1, 51–61
Abstract

Spaces of analytic functions in tubes in Cn which generalize the Hardy Hp spaces are defined and studied. In addition Cauchy and Poisson integrals of distributions in 𝒟′Lp are analyzed.

Mathematical Subject Classification 2000
Primary: 32A15
Secondary: 32A07, 32A25, 46F10
Milestones
Received: 19 October 1978
Revised: 22 June 1979
Published: 1 September 1980
Authors
Richard D. Carmichael
Elmer Kinji Hayashi