Matches in SemOpenAlex for { <https://semopenalex.org/work/W4286973652> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4286973652 abstract "Recent work showed that a theorem of Joris (that a function $f$ is smooth if two coprime powers of $f$ are smooth) is valid in a wide variety of ultradifferentiable classes $mathcal C$. The core of the proof was essentially $1$-dimensional. In certain cases a multidimensional version resulted from subtle reduction arguments, but general validity, notably in the quasianalytic setting, remained open. In this paper we give a uniform proof which works in all cases and dimensions. It yields the result even on infinite dimensional Banach spaces and convenient vector spaces. We also consider more general nonlinear conditions, namely general analytic germs $Phi$ instead of the powers, and characterize when $Phi circ f in mathcal C$ implies $f in mathcal C$." @default.
- W4286973652 created "2022-07-25" @default.
- W4286973652 creator A5013207700 @default.
- W4286973652 creator A5022474695 @default.
- W4286973652 creator A5088363908 @default.
- W4286973652 date "2021-09-16" @default.
- W4286973652 modified "2023-09-24" @default.
- W4286973652 title "Nonlinear conditions for ultradifferentiability: a uniform approach" @default.
- W4286973652 doi "https://doi.org/10.48550/arxiv.2109.07795" @default.
- W4286973652 hasPublicationYear "2021" @default.
- W4286973652 type Work @default.
- W4286973652 citedByCount "0" @default.
- W4286973652 crossrefType "posted-content" @default.
- W4286973652 hasAuthorship W4286973652A5013207700 @default.
- W4286973652 hasAuthorship W4286973652A5022474695 @default.
- W4286973652 hasAuthorship W4286973652A5088363908 @default.
- W4286973652 hasBestOaLocation W42869736521 @default.
- W4286973652 hasConcept C105795698 @default.
- W4286973652 hasConcept C111335779 @default.
- W4286973652 hasConcept C118615104 @default.
- W4286973652 hasConcept C120665830 @default.
- W4286973652 hasConcept C121332964 @default.
- W4286973652 hasConcept C132954091 @default.
- W4286973652 hasConcept C134306372 @default.
- W4286973652 hasConcept C136197465 @default.
- W4286973652 hasConcept C14036430 @default.
- W4286973652 hasConcept C158622935 @default.
- W4286973652 hasConcept C18762648 @default.
- W4286973652 hasConcept C202444582 @default.
- W4286973652 hasConcept C2164484 @default.
- W4286973652 hasConcept C23230895 @default.
- W4286973652 hasConcept C2524010 @default.
- W4286973652 hasConcept C33923547 @default.
- W4286973652 hasConcept C62520636 @default.
- W4286973652 hasConcept C78458016 @default.
- W4286973652 hasConcept C86803240 @default.
- W4286973652 hasConceptScore W4286973652C105795698 @default.
- W4286973652 hasConceptScore W4286973652C111335779 @default.
- W4286973652 hasConceptScore W4286973652C118615104 @default.
- W4286973652 hasConceptScore W4286973652C120665830 @default.
- W4286973652 hasConceptScore W4286973652C121332964 @default.
- W4286973652 hasConceptScore W4286973652C132954091 @default.
- W4286973652 hasConceptScore W4286973652C134306372 @default.
- W4286973652 hasConceptScore W4286973652C136197465 @default.
- W4286973652 hasConceptScore W4286973652C14036430 @default.
- W4286973652 hasConceptScore W4286973652C158622935 @default.
- W4286973652 hasConceptScore W4286973652C18762648 @default.
- W4286973652 hasConceptScore W4286973652C202444582 @default.
- W4286973652 hasConceptScore W4286973652C2164484 @default.
- W4286973652 hasConceptScore W4286973652C23230895 @default.
- W4286973652 hasConceptScore W4286973652C2524010 @default.
- W4286973652 hasConceptScore W4286973652C33923547 @default.
- W4286973652 hasConceptScore W4286973652C62520636 @default.
- W4286973652 hasConceptScore W4286973652C78458016 @default.
- W4286973652 hasConceptScore W4286973652C86803240 @default.
- W4286973652 hasLocation W42869736521 @default.
- W4286973652 hasOpenAccess W4286973652 @default.
- W4286973652 hasPrimaryLocation W42869736521 @default.
- W4286973652 hasRelatedWork W2021999779 @default.
- W4286973652 hasRelatedWork W2067425055 @default.
- W4286973652 hasRelatedWork W2084195435 @default.
- W4286973652 hasRelatedWork W2111352897 @default.
- W4286973652 hasRelatedWork W2127031931 @default.
- W4286973652 hasRelatedWork W2963381059 @default.
- W4286973652 hasRelatedWork W2964322172 @default.
- W4286973652 hasRelatedWork W4233543032 @default.
- W4286973652 hasRelatedWork W762108446 @default.
- W4286973652 hasRelatedWork W1922592665 @default.
- W4286973652 isParatext "false" @default.
- W4286973652 isRetracted "false" @default.
- W4286973652 workType "article" @default.