2 papers
math.FA2023
Composition operators on Gelfand-Shilov classes
Héctor Ariza, Carmen Fernández, Antonio Galbis
We study composition operators on global classes of ultradifferentiable functions of Beurling type invariant under Fourier transform. In particular, for the classical Gelfand-Shilo…
math.FA2014
Convenient descriptions of weight functions in time-frequency analysis
Carmen Fernandez, Antonio Galbis, Joachim Toft
Let be a submultiplicative weight. Then we prove that satisfies GRS-condition, if and only if $v\cdot e^{-\ep |\cdo |}$ is bounded for every positive $\ep$. We use this equ…