Silva tempered ultradistributions
Let L be a closed convex subset of some proper cone in ℂ. The image of the space of analytic functionals Q'(L) with non-bounded carrier in L under the Taylor transformation as well as the representation of analytic functionals from Q'(L) as the boundary values of holomorphic functions outside L are given. Multipliers and operators in Q'(L) are described.
We study the representation of distributions (and ultradistributions of Beurling type) of Lp-growth, 1 ≤ p ≤ ∞, on RNas boundary values of holomorphic functions on (C R)N.