Ultradifferentiable
Definition, Meaning & Examples
Part of speech adjective
Quick meaning: Ultradifferentiable is an adjective meaning (mathematics) Having all derivatives over an open set bounded by an indexed value in an ultradistribution (times a constant).
Meaning
(mathematics) Having all derivatives over an open set bounded by an indexed value in an ultradistribution (times a constant).
Example Sentences
Under this assumption, and through the characterization of strongly regular sequences in terms of so-called regular variation, we show that the growth index #92;gamma(#92;mathbb#123;M#125;) defined by V.Thilliez (Division by flat ultradifferentiable functions and sectorial extensions, Results Math. 44 (2003), 169--188) and the order of quasianalyticity #92;omega(#92;mathbb#123;M#125;) introduced by the second author (Flat functions in Carleman ultraholomorphic classes via proximate orders, J.
Related Words
Related dictionary entries include ultradifferential, ultraholomorphic, superdifferentiable, differentiable, subdifferentiable, ultradiscrete.
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Sources & Attribution
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