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.
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 callDisclaimer: 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.
