Ideals of differentiable functions

Keywords

Differentiable function, Mathematics, Taylor's theorem, Pure mathematics

References

• Sur le problème de la divisionStanisław Łojasiewicz — 1959
• Fonctions composées différentiablesGeorges Glaeser — 1963
• On the division of distributions by polynomialsLars Hörmander — 1958
• Sur les fonctions différentiables et les ensembles analytiquesBernard Malgrange — 1961
• Theorie Generale des Fonctions Moyenne-PeriodiquesLaurent Schwartz — 1947
• Local and global properties of fundamental solutionsLars Hörmander — 1957
• Analytic Extensions of Differentiable Functions Defined in Closed SetsHassler Whitney — 1934
• On Ideals Of Differentiable FunctionsHassler Whitney — 1948

Cited by

• Some geometrical applications of the preparation theorem of Weierstrass-MalgrangePedro Abellanas-Pérez — 1970
• A characterization of holomorphic germs on compact perfect setsGraciela Carboni, Angel Larotonda — 2004
• Extrema Constrained by a Family of Curves and Local ExtremaOltin Dogaru, Ionel Ţevy, Constantin Udrişte — 1998
• Schwartz functions on the Heisenberg group, spectral multipliers and Gelfand pairsFulvio Ricci — 2009
• The tangent stars of a set, and extensions of smooth functions.R.O. Watson, A.G. O'Farrell — 1991
• Holonomic D-module with Betti structureTakuro Mochizuki — 2010
• Gauge Fields with Generic SingularitiesSpyros N. Pnevmatikos, Dimitris Pliakis — 2000
• Semiglobal results for ∂ on a complex space with arbitrary singularitiesJohn Erik Fornæss, Nils Øvrelid, Sophia Vassiliadou — 2004
• A constructive method to get right-left equivalence for smooth map germs and its application to divergent diagramsTakashi Nishimura — 1993
• Zur Definition von HyperfunktionenArndt Blickensd�rfer — 1977
• Extensions and Smooth Approximations of Definable Functions in O-minimal StructuresAthipat Thamrongthanyalak — 2018
• Determinacy, transversality and Lagrange stabilityGoo Ishikawa — 1998
• On a noncommutative algebraic geometryPierre Dolbeault — 2015
• Parametrization of a Singular Lagrangian VarietyGoo Ishikawa — 1987
• Lectures on topics in analysisRaghavan Narasimhan, M. S. Rajwade — 1965
• Anneaux de séries formelles à croissance contrôléeAugustin Mouze — 2000
• Proceedings of the International Congress of MathematiciansSrishti D. Chatterji — 1995
• Introduction to Singularities and DeformationsGert–Martin Greuel, Christoph Lossen, Eugeniĭ Shustin — 2007
• Thurston's Work on SurfacesAlbert Fathi, François Laudenbach, Valentin Poénaru — 2012
• Conformal Fractals: Ergodic Theory MethodsFeliks Przytycki, Mariusz Urbański — 2010

Related papers

• Idéaux de fonctions différentiables. IIJean-Claude Tougeron, Jean Merrien — 1970
• Singular Integrals and Differentiability Properties of Functions.Elias M. Stein — 1971
• Sur le problème de la divisionStanisław Łojasiewicz — 1959
• An Introduction To Complex Analysis In Several VariablesVolker Scheidemann — 2016
• SMOOTH FUNCTIONS INVARIANT UNDER THE ACTION OF A COMPACT LIE GROUPGerald W. Schwarz — 1975
• Sheaves on ManifoldsMasaki Kashiwara, Pierre Schapira — 1990
• Topologie algébrique et théorie des faisceauxRoger Godement — 1960
• Analytic Functions of Several Complex Variables.J. W. Gray, Robert C. Gunning, Hugo Rossi — 1968
• Principles of Algebraic GeometryPhillip Griffiths, Joseph Harris — 1978