Ultradifferentiable Functions on Compact Intervals
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Publication:3034342
DOI10.1002/mana.19891400111zbMath0692.46030OpenAlexW2065968850MaRDI QIDQ3034342
Publication date: 1989
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.19891400111
Roumieu typespaces of ultradifferentiable functions which are linear topologically isomorphic to a power series spaceultradifferentiable functions of the Beurling type
Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Related Items (16)
Hermite functions and weighted spaces of generalized functions ⋮ Bases in spaces of ultradifferentiable functions with compact support ⋮ Extension of ultradifferentiable functions of Roumieu type ⋮ On E. Borel's theorem ⋮ Negative results on the Nash-Moser theorem for Köthe sequence spaces and for spaces of ultradifferentiable functions ⋮ A nonlinear theory of infrahyperfunctions ⋮ Surjective partial differential operators on spaces of ultradifferentiable functions of Roumieu type ⋮ Ultradifferentiable extension theorems: a survey ⋮ Ultraholomorphic extension theorems in the mixed setting ⋮ Global hypoelliptic vector fields in ultradifferentiable classes and normal forms ⋮ Topological properties of convolutor spaces via the short-time Fourier transform ⋮ Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences ⋮ The splitting condition for the weighted \(\overline \partial\)-complex ⋮ Inverse closed ultradifferential subalgebras ⋮ Global regularity in ultradifferentiable classes ⋮ On certain linear operators in spaces of ultradifferentiable functions
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