3 papers
math.FA2019
Characterizations of a class of Pilipovi{ć} spaces by powers of harmonic oscillator
Ahmed Abdeljawad, Carmen Fernandez, Antonio Galbis +2
We show that a smooth function on belongs to the Pilipovi{ć} space or the Pilipovi{ć} space $\mathcal H_{0,\flat _σ}(\mathbf…
math.FA2015
The Bargmann transform and powers of harmonic oscillator on Gelfand-Shilov subspaces
Carmen Fernandez, Antonio Galbis, Joachim Toft
We consider the counter images $\maclJ (\rr d)$ and $\maclJ _0(\rr d)$ of entire functions with exponential and almost exponential bounds, respectively, under the Bargmann transfor…
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…