Pseudoanalytic extension of smooth functions. The uniform scale
From MaRDI portal
Publication:3935488
DOI10.1090/trans2/115/02zbMath0478.30039OpenAlexW4244651275MaRDI QIDQ3935488
Publication date: 1980
Published in: Twelve Papers in Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/trans2/115/02
Lipschitz (Hölder) classes (26A16) (C^infty)-functions, quasi-analytic functions (26E10) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Analytic continuation of functions of one complex variable (30B40)
Related Items (32)
On the stability of analytic germs under ultradifferentiable perturbations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Nonlinear conditions for ultradifferentiability ⋮ Ultradifferentiable extension theorems: a survey ⋮ Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces ⋮ Ultradifferentiable CR manifolds ⋮ Hypoellipticity for certain systems of complex vector fields ⋮ Functions with ultradifferentiable powers ⋮ Quasianalytic functionals and ultradistributions as boundary values of harmonic functions ⋮ Approximate solutions of vector fields and an application to Denjoy–Carleman regularity of solutions of a nonlinear PDE ⋮ Approximation by entire functions on countable unions of segments of the real axis. II: Proof of the main theorem ⋮ Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors ⋮ Approximations by entire functions on countable unions of segments of the real axis ⋮ Entire functions of order 1/2 in the approximation to functions on a semiaxis ⋮ Unnamed Item ⋮ A universal criterion for quasi-analytic classes in Jordan domains ⋮ Foundational aspects of singular integrals ⋮ On the representation and the uniform polynomial approximation of polyanalytic functions of Gevrey type on the unit disk ⋮ Analytic description of the spaces dual to spaces of holomorphic functions of given growth on Carathéodory domains ⋮ The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type ⋮ Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences ⋮ Superposition in classes of ultradifferentiable functions ⋮ Solid hulls and cores of classes of weighted entire functions defined in terms of associated weight functions ⋮ Ultradifferentiable functions on smooth plane curves ⋮ Approximation by entire functions on a countable union of segments on the real axis. III: Further generalization ⋮ Intersection properties of Gevrey classes and of certain other classes ⋮ Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis ⋮ Indices of O-regular variation for weight functions and weight sequences ⋮ Soliton Theory and Hankel Operators ⋮ Surjectivity of the restriction map to a compact in classes of ultradifferentiable functions ⋮ Equivalence of stability properties for ultradifferentiable function classes
This page was built for publication: Pseudoanalytic extension of smooth functions. The uniform scale