Abstract

Let L(z) be the Lie norm on Ẽ = Cn+1 and L∗(z) the dual Lie norm. We denote by O∆(B(R)) the space of complex harmonic functions on the open Lie ball B(R) and by Exp∆(Ẽ; (A,L ∗)) the space of entire harmonic functions of exponential type (A,L∗). A continuous linear functional on these spaces will be called a harmonic functional or an entire harmonic functional. We shall study the conical Fourier–Borel transformations on the spaces of harmonic functionals or entire harmonic functionals.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.