The implicit function theorem for ultradifferentiable mappings

From MaRDI portal
Publication:1155734

DOI10.3792/pjaa.55.69zbMath0467.26004OpenAlexW1989535319MaRDI QIDQ1155734

Hikosaburo Komatsu

Publication date: 1979

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.55.69



Related Items

Summability of canard-heteroclinic saddle connections, A new higher order chain rule and Gevrey class, On ODEs in the ultradifferentiable class, Solutions of quasianalytic equations, Monomialization of a quasianalytic morphism, Quasianalytic solutions of differential equations at singular points, Upper bounds on the size of nodal sets for Gevrey and quasianalytic Riemannian manifolds, The exponential law for spaces of test functions and diffeomorphism groups, Gevrey global solvability of non-singular real first-order differential operators, Holomorphic approximation of ultradifferentiable functions, Geometric microlocal analysis in Denjoy-Carleman classes, The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings, Smooth Gevrey normal forms of vector fields near a fixed point, Ultradifferentiability of solutions of ordinary differential equations, Homomorphism of quasianalytic local rings, Denjoy-Carleman classes: boundary values, approximate solutions and applications, Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems, The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type, Wave front set at infinity for tempered ultradistributions and hyperbolic equations, Inverse mapping theorem in the ultradifferentiable class, On quasianalytic local rings, Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear PDEs, Quasianalytic Denjoy-Carleman classes and o-minimality, Spaces of anisotropic ultradifferentiable functions and local solvability for semilinear partial differential equations, On the Siegel-Sternberg linearization theorem, Hamiltonian perturbation theory for ultra-differentiable functions, Invariant functions in Denjoy-Carleman classes, Inverse map theorem in the ultra-\(F\)-differentiable class, Quasianalytic multiparameter perturbation of polynomials and normal matrices, The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings, Composite quasianalytic functions, Quantifier elimination in quasianalytic structures via non-standard analysis, Equivalence of stability properties for ultradifferentiable function classes



Cites Work