Completeness of translates in weighted spaces on the half-line

DOI10.1007/BF02392801zbMath0830.46020OpenAlexW2097807760WikidataQ59288606 ScholiaQ59288606MaRDI QIDQ1346034

Alexander Borichev, Haakan Hedenmalm

Publication date: 4 February 1996

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392801

zbMATH Keywords

Fourier transformweight functiontranslation operatorweighted \(L^ p\) spacesavoiding the assumption of non- quasianalyticitydense sets in \(L^ p\)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Linear operators on function spaces (general) (47B38)

Related Items

Cyclicity of singular inner functions from the corona theorem, Countable inductive limits of Fréchet algebras, Nyman type theorem in convolution Sobolev algebras, Do some nontrivial closed 𝑧-invariant subspaces have the division property?, Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7--12, 2023, Levinson-type theorem and Dyn'kin problems, Surjectivity of certain adjoint operators and applications, Large Bergman spaces: Invertibility, cyclicity, and subspaces of arbitrary index., Cyclicity in weighted Bergman type spaces, Boundedness of the Bergman projection on \(L^p\)-spaces with exponential weights, Cyclicity of nonvanishing functions in the polydisk and in the ball, Wiener-type Tauberian theorems for Fourier hyperfunctions, Wiener's tauberian theorem for spherical functions on the automorphism group of the unit disk, Analytic continuation and stability of operator semigroups, Representation of analytic functions by exponential series in half-plane, Shift invariant subspaces with arbitrary indices in \(\ell^p\) spaces, Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Translation invariant spaces
• On the primary ideal structure at infinity for analytic Beurling algebras
• Esterle's proof of the Tauberian theorem for Beurling algebras
• Formal power series and nearly analytic functions
• Approximation in a class of Banach algebras of quasianalytically smooth analytic functions
• Spectral properties of invariant subspaces in the Bergman space
• Zur Operatorenmethode in der klassischen Mechanik
• Analytic continuation across a linear boundary
• On two problems concerning linear transformations in Hilbert space
• Uniform Boundedness in Families Related to Subharmonic Functions
• On the analytic transform of bounded linear functionals on certain Banach algebras
• Tauberian theorems