Description of the duals of subspaces of infinitely differentiable functions

DOI10.1007/s10958-024-07027-xzbMATH Open1548.46022MaRDI QIDQ6564077

A. V. Lutsenko, Il'dar Khamitovich Musin, R. S. Yulmukhametov

Publication date: 28 June 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

Fourier-Laplace transformentire functionsinfinitely differentiable functions

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Duality theory for topological vector spaces (46A20) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

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• On a space of smooth functions on a convex unbounded set in \(\mathbb R^{n }\) admitting holomorphic extension in \(\mathbb C^{n }\)
• On a space of entire functions rapidly decreasing on \(\mathbb R^n\) and its Fourier transform
• Ultradifferentiable functions and Fourier analysis
• On the Fourier-Laplace transform of functionals on a space of infinitely differentiable functions on a convex compact
• Analytically uniform spaces of infinitely differentiable functions

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