Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43941/1/11512_2006_Article_BF02386123.pd
The Borel map takes a smooth function to its infinite jet of derivatives (at zero). We study the res...
AbstractA new construction of linear continuous right inverses for the asymptotic Borel map is provi...
We prove the following inclusion WF*(u)⊂ WF*(Pu)∪ Σ, u∈ε′* (Ω) where WF* denotes the non-quasianalyt...
This note can be considered as a long summary of the invited lecture given by J. Bonet in the Second...
[EN] We investigate the surjectivity of the Borel map in the quasianalytic setting for classes of u...
Let $ℇ_{(ω)}(Ω)$ denote the non-quasianalytic class of Beurling type on an open set Ω in $ℝ^n$. For ...
We study boundary values of harmonic functions in spaces of quasianalytic functionals and spaces of ...
We investigate the surjectivity of the Borel map in the quasianalytic setting for classes of ultradi...
Recent work showed that a theorem of Joris (that a function $f$ is smooth if two coprime powers of $...
In this paper we give a global characterisation of classes of ultradifferentiable functions and corr...
M. Jacques CHAUMAT Directeur de thèse M. Pierre GOETGHELUCK Examinateur M. Jean-Pierre KAHANE Présid...
We prove that functions with compact support in non-quasianalytic classes $\mathcal{E}_{\{\mathcal{M...
AbstractFor a weight function ω : [0, ∞[ → [0, ∞[ we denote by E(ω)(RN) the class of all ω-ultradiff...
A class of translation-invariant Banach spaces of quasianalytic ultradistributions is introduced and...
Dedicated to the memory of Klaus Floret Abstract. We show that Whitney’s approximation theorem holds...
The Borel map takes a smooth function to its infinite jet of derivatives (at zero). We study the res...
AbstractA new construction of linear continuous right inverses for the asymptotic Borel map is provi...
We prove the following inclusion WF*(u)⊂ WF*(Pu)∪ Σ, u∈ε′* (Ω) where WF* denotes the non-quasianalyt...
This note can be considered as a long summary of the invited lecture given by J. Bonet in the Second...
[EN] We investigate the surjectivity of the Borel map in the quasianalytic setting for classes of u...
Let $ℇ_{(ω)}(Ω)$ denote the non-quasianalytic class of Beurling type on an open set Ω in $ℝ^n$. For ...
We study boundary values of harmonic functions in spaces of quasianalytic functionals and spaces of ...
We investigate the surjectivity of the Borel map in the quasianalytic setting for classes of ultradi...
Recent work showed that a theorem of Joris (that a function $f$ is smooth if two coprime powers of $...
In this paper we give a global characterisation of classes of ultradifferentiable functions and corr...
M. Jacques CHAUMAT Directeur de thèse M. Pierre GOETGHELUCK Examinateur M. Jean-Pierre KAHANE Présid...
We prove that functions with compact support in non-quasianalytic classes $\mathcal{E}_{\{\mathcal{M...
AbstractFor a weight function ω : [0, ∞[ → [0, ∞[ we denote by E(ω)(RN) the class of all ω-ultradiff...
A class of translation-invariant Banach spaces of quasianalytic ultradistributions is introduced and...
Dedicated to the memory of Klaus Floret Abstract. We show that Whitney’s approximation theorem holds...
The Borel map takes a smooth function to its infinite jet of derivatives (at zero). We study the res...
AbstractA new construction of linear continuous right inverses for the asymptotic Borel map is provi...
We prove the following inclusion WF*(u)⊂ WF*(Pu)∪ Σ, u∈ε′* (Ω) where WF* denotes the non-quasianalyt...