Étude de quelques algèbres tayloriennes

From MaRDI portal
Publication:771972

DOI10.1007/BF02790231zbMath0091.28103OpenAlexW2313098395MaRDI QIDQ771972

Georges Glaeser

Publication date: 1958

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790231




Related Items

Differentiable functionsLocally \(C^{1,1}\) convex extensions of \(1\)-jetsGlobal geometry and \(C^1\) convex extensions of 1-jetsFiniteness principles for smooth selectionExplicit formulas for 𝐶^{1,1} Glaeser-Whitney extensions of 1-Taylor fields in Hilbert spacesPlongements lipschitziens dans ${\bbfR}\sp n$An extension theorem for convex functions of class \(C^{1,1}\) on Hilbert spacesFunctions not Constant on Fractal Quasi-Arcs of Critical PointsSur la géométrie des prolongements des espaces fibres vectorielsOn Jordan arcs and Lipschitz classes of functions defined on themO-minimal version of Whitney's extension theorem\(C^m\) semialgebraic sections over the planeMinimal Lipschitz extensions to differentiable functions defined on a Hilbert spaceSmooth selection for infinite setsTangent cones and \(C^{1}\) regularity of definable sets\({\mathcal C}^m\)-norms on finite sets and \({\mathcal C}^m\) extensionSmooth convex extensions of convex functionsCalculation of the bidual for some function spaces. Integrable distributionsThe \(C^m\) norm of a function with prescribed jets. I.Whitney's extension theorem and the finiteness principle for curves in the Heisenberg group\(C^2\) interpolation with range restrictionHölder estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundarySmoothness of spectral subbundles and reducibility of quasi periodic linear differential systemsOn Whitney-type extension theorems on Banach spaces for \(C^{1, \omega}, C^{1,+}, C_{\operatorname{loc}}^{1, +}\), and \(C_{\operatorname{B}}^{1, +}\)-smooth functionsOn p‐adic semi‐algebraic continuous selectionsLifting-Probleme für Vektorfunktionen und Tensorprodukt-SequenzenA note on subsets of positive reach\(C^{1}\)-Weierstrass for compact sets in Hilbert space.Théorème de Newton pour les fonctions de classe $C^r$Interpolating and orthogonal polynomials on fractalsExplicit formulas for \(C^{1,1}\) and \(C_{\operatorname{conv}}^{1, \omega}\) extensions of 1-jets in Hilbert and superreflexive spacesApproximate extension in Sobolev spaceSobolev -spaces on -thick closed subsets ofOn \(C^m\) solutions to systems of linear inequalitiesWhitney’s extension problem for multivariate 𝐶^{1,𝜔}-functionsSobolev \(L_p^2\)-functions on closed subsets of \(\mathbb R^2\)Reconstruction and interpolation of manifolds. I: The geometric Whitney problemThe Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spacesTopologie de certains espaces de plongementsMultiplicateurs rugueux des fonctions différentiables et synthèse spectraleA linear extension operator for Whitney fields on closed o-minimal setsHolomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and MergelyanSup-inf explicit formulas for minimal Lipschitz extensions for 1-fields on \(\mathbb R^n\)A joint generalization of Whitney's extension theorem and Aversa-Laczkovich-Preiss' extension theoremNotes on Global Stress and Hyper-Stress TheoriesBanach Algebras which are not WedderburnianTaylorian fields and subdivision algorithms\(C^1\) extensions of functions and stabilization of Glaeser refinementsA constructive proof of a Whitney extension theorem in one variableThe trace of jet space 𝐽^{𝑘}Λ^{𝜔} to an arbitrary closed subset of ℝⁿRegularity of the singular set in a two-phase problem for harmonic measure with Hölder dataA coordinate-free proof of the finiteness principle for Whitney's extension problemWhitney-type extension theorems for jets generated by Sobolev functionsSmooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systemsSmooth extensions of functions on separable Banach spacesNonsmooth Morse-Sard theoremsWhitney's problem on extendability of functions and an intrinsic metricÜber das Dirichletsche Problem bei der BipotentialgleichungNon-existence of a continuum that models a Newtonian system of interacting particlesRestrictions of smooth functions to a closed subset.Prescribing tangent hyperplanes to $C^{1,1}$ and $C^{1,\omega}$ convex hypersurfaces in Hilbert and superreflexive Banach spacesUniversal stratifications and a Bertini-type theoremOn properties of geometric preduals of \({\mathrm C^{k,\omega}}\) spaces\( \mathcal{C}^m\) solutions of semialgebraic or definable equationsMeasuring sample quality with diffusionsAn example related to Whitney extension with almost minimal \(C^m\) normOn the differentiability of functionsWhitney’s extension problems and interpolation of dataSplitting lemma for biholomorphic mappings with smooth dependence on parameters\(C^{1, \omega }\) extension formulas for $1$-jets on Hilbert spacesPotentialtheoretische Betrachtungen bei der BipotentialgleichungEfficient algorithms for approximate smooth selectionRegularity of a \(\overline{\partial}\)-solution operator for strongly \(\mathbf{C}\)-linearly convex domains with minimal smoothnessThe Structure of Ideals and Point Derivations in Banach Algebras of Lipschitz FunctionsSome remarks about the Morse-Sard theorem and approximate differentiabilityExtension of \(C^{m, \omega}\)-smooth functions by linear operatorsFitting a \(C^m\)-smooth function to data. IIThe \(C^m\) norm of a function with prescribed jets. II\(\Lambda\)-manifoldsPointwise characterization of ideals of differentiable functionsOn the classification of spaces of Hölder continuous functionsDensity and extension of differentiable functions on metric measure spacesProlongement extremal de fonctions différentiables d'une variableWhitney's extension problem in o-minimal structuresTraces of $C^{k}$ functions on weak Markov subsets of $\mathbb R^{n}$Higher order differentiability properties of the composition and of the inversion operatorThe Whitney problem of existence of a linear extension operatorPolarizations and differential calculus in affine spacesNodal sets for broken quasilinear partial differential equations with Dini coefficientsPointwise characterization of Sobolev classesSobolev extension by linear operatorsA generalized sharp Whitney theorem for jetsOn the Whitney-Schwartz theoremTwo stars theorems for traces of the Zygmund spaceApproximation et interpolation des fonctions différentiables de plusieurs variablesZur Potentialtheorie für stark elliptische Systeme mit konstanten Koeffizienten Dem 25. Jahrestag der DDR gewidmetLipschitz selections of set-valued mappings and Helly's theoremExtensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups



Cites Work