Characterization of surjective partial differential operators on spaces of real analytic functions
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Publication:4811157
DOI10.4064/sm162-1-4zbMath1073.35054OpenAlexW2005556848MaRDI QIDQ4811157
Publication date: 18 August 2004
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: http://journals.impan.gov.pl/sm/Inf/162-1-4.html
Hyperfunctions, analytic functionals (46F15) Convexity properties of solutions to PDEs with constant coefficients (35E10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)
Related Items (14)
Inheritance of surjectivity for partial differential operators on spaces of real analytic functions ⋮ Right Inverses for P(D) in Spaces of Real Analytic Functions ⋮ Hadamard type operators on spaces of real analytic functions in several variables ⋮ Real analytic parameter dependence of solutions of differential equations over Roumieu classes ⋮ Power bounded composition operators on spaces of analytic functions ⋮ Some results on surjectivity of augmented differential operators ⋮ Topological properties of kernels of partial differential operators ⋮ Characterization of splitting for Fréchet--Hilbert spaces via interpolation ⋮ Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ On the splitting relation for Fréchet-Hilbert spaces ⋮ The geometry of analytic varieties satisfying the local Phragmén-Lindelöf condition and a geometric characterization of the partial differential operators that are surjective on $\mathcal \{A\}(\mathbb \{R\}^4)$ ⋮ Convolution operators on spaces of real analytic functions ⋮ Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences ⋮ Interpolation of holomorphic functions and surjectivity of Taylor coefficient multipliers
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