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

DOI: 10.2140/pjm.1980.90.51

Abstract

Spaces of analytic functions in tubes in Cⁿ which generalize the Hardy H^p spaces are defined and studied. In addition Cauchy and Poisson integrals of distributions in 𝒟′_L^p 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