Geometric characterization of interpolation in the space of Fourier-Laplace transforms of ultradistributions of Roumieu type
DOI10.1007/s13348-010-0022-8zbMath1218.30091OpenAlexW1970387286MaRDI QIDQ545667
Publication date: 22 June 2011
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13348-010-0022-8
interpolating varietyinterpolation of holomorphic functionsultradifferentiable functions of Roumieu type
Moment problems and interpolation problems in the complex plane (30E05) Convolution, factorization for one variable harmonic analysis (42A85) Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasianalytic wave front sets for solutions of linear partial differential operators
- Generalized Fourier expansions for zero-solutions of surjective convolution operators on \({\mathcal D}_\{\omega\}({\mathbb{R}})'\)
- Interpolating varieties for spaces of meromorphic functions
- Ultradifferentiable functions and Fourier analysis
- A comparison of two different ways to define classes of ultradifferentiable functions
- The structure of spaces of quasianalytic functions of Roumieu type
- Interpolation by entire functions with growth conditions
- Existence of Fundamental Solutions and Surjectivity of Convolution Operators on Classes of Ultra-Differentiable Functions
- Sequence space representations for zero-solutions of convolution equations on ultradifferentiable functions of Roumieu type
- Sequence space representations for (DFN)-algebras of entire functions modulo closed ideals.
- Sequence space representations for (FN)-algebras of entire functions modulo closed ideals
- Necessary Conditions for Universal Interpolation in
- Continuous linear right inverses for convolution operators in spaces of real analytic functions
- Surjectivity of convolution operators on spaces of ultradifferentiable functions of Roumieu type
- Geometric Characterization of Interpolating Varieties for the (FN)-Space A0p of Entire Functions
- Characterization of the Linear Partial Differential Operators with Constant Coefficients Which are Surjective on Non‐quasianalytic Classes of Roumieu Type on ℝN
- Continuous Linear Right Inverses for Partial Differential Operators on Non ‐ Quasianalytic Classes and on Ultradistributions
- Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse
- A geometric characterization of interpolation in ℰ̂′(ℝ)
- Ultradistributions of Roumieu type and projective descriptions
This page was built for publication: Geometric characterization of interpolation in the space of Fourier-Laplace transforms of ultradistributions of Roumieu type
