On a space of rapidly decreasing infinitely differentiable functions on an unbounded convex set in \mathbb Rⁿ and its dual

2010/03/17 by I. Kh. Musin, Musin, I. Kh., P. V. Yakovleva +1
Mathematics · #32A10 #46F05 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #math.CV #math.FA #msc:32A10 #msc:46F05

paper · pdf · doi:10.48550/arxiv.1003.3302

LaTeX, 24 pages

arxiv created 2010/03/17 · arxiv updated 2010/03/18

Abstract

Description of linear continuous functionals on a space of rapidly decreasing infinitely differentiable functions on an unbounded closed convex set in \mathbb Rⁿ in terms of their Fourier-Laplace transform is obtained.

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