ultradifferentiability en · NOUN
Etymology
Etymology tree Proto-Indo-European *h₂el- Latin ūls Proto-Indo-European *-teros? Latin -ter Old Latin -ād Latin -ā Latin ultrābor. English ultra- Proto-Indo-European *dwóh₁ ▲ Proto-Indo-European *trísinflu. Proto-Indo-European *d(w)is- Proto-Italic *dis- Latin dis- Proto-Indo-European *bʰer- Proto-Indo-European *-eti Proto-Indo-European *bʰéreti Proto-Italic *ferō Latin ferō Latin differō Latin differēns Proto-Indo-European *-(i)yós Proto-Italic *-ijos Proto-Italic *-ios Old Latin -ios Latin -ius Latin -ia Latin differentia New Latin differentiō New Latin differentiātusbor. English differentiate Proto-Indo-European *-dʰlom Proto-Italic *-ðlom Proto-Italic *-ðlis Latin -bilis Latin -ābilis Old French -ablebor. Middle English -able English -able English differentiable Proto-Indo-European *-teh₂ Proto-Indo-European *-ts Proto-Indo-European *-teh₂ts Latin -itāsder. Old French -itebor. Middle English -ite English -ity English differentiability English ultradifferentiability From ultra- + differentiability.
Meanings
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(uncountable) The condition of being ultradifferentiable
A characterization of the scalar type spectral generators of Beurling type Carleman ultradifferentiable C#95;0-semigroups is established, the important case of the Gevrey ultradifferentiability is considered in detail, the implementation of the general criterion corresponding to a certain rapidly growing defining sequence is observed..
2016, Marat V. Markin, “On the generation of Beurling type Carleman ultradifferentiable C_0-semigroups by scalar type spectral operators”, in arXiv: