Characterization of Mellin distributions supported by certain noncompact sets
Volume 102 / 1992
Studia Mathematica 102 (1992), 25-38
DOI: 10.4064/sm-102-1-25-38
Abstract
A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on $C_0^∞(K)$. The proof is based on a parameter version of the Seeley extension theorem.