Non-Liouville numbers and a theorem of Hörmander
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Publication:1255202
DOI10.1016/0022-1236(78)90002-2zbMath0401.46023OpenAlexW2034473102MaRDI QIDQ1255202
Gary H. Meisters, Edith Kregelius Petersen
Publication date: 1978
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(78)90002-2
Operations with distributions and generalized functions (46F10) Spaces of bounded analytic functions of one complex variable (30H05) Distributions, generalized functions, distribution spaces (46F99) Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Related Items (8)
On Lojasiewicz-type inequalities for exponential polynomials ⋮ Translation-invariant linear forms on \({\mathcal E}'(G)\) and non-Liouville tuples on G ⋮ Le problème de la deconvolution ⋮ Bézout identities for certain systems of exponential sums ⋮ Generators for rings of compactly supported distributions ⋮ Fonctions définies dans le plan et vérifiant certaines propriétés de moyenne ⋮ Solutions to deconvolution equations using nonperiodic sampling ⋮ Nonperiodic sampling and the local three squares theorem
Cites Work
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- Periodic distributions and non-Liouville numbers
- Translation-invariant linear forms on C\(_0\)(G), C(G), L\(^p\)(G) for noncompact groups
- Translation-invariant linear forms and a formula for the Dirac measure
- Approximation to algebraic numbers
- On the structure of some distributions discovered by Meisters
- Translationinvariant linear forms on L\(^2\)(G) for compact Abelian groups G
- Some discontinuous translation-invariant linear forms
- Discontinuous translation invariant linear functional on L¹(G)
- Generators for some rings of analytic functions
- Translation-invariant linear forms and a formula for the Dirac measure
- A Guichard theorems on connected monothetic groups
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