Abstract
Given non empty open subsets $\Omega$ of $\mathbb{R}^r$ and $\Omega'$ of $\mathbb{R}^s$, and sequences $\mathscr{M}$ and $\mathscr{M}'$, we recall the definition of the space ${\mathscr{D}^{\{\mathscr{M},\mathscr{M}'\}}{(\Omega \times \Omega')}}$. Given $p \in [1,+\infty[$, we also introduce the space $\mathscr{D}_{(L^p)}^{\{\mathscr{M},\mathscr{M}'\}}{(\Omega \times \Omega')}$. By use of a basic idea due to Valdivia, we obtain a global representation of the corresponding ultradistributions, i.e. of the elements of the topological duals of these spaces.
Citation
Jean Schmets. Manuel Valdivia. "Global representation of some mixed ultradistributions." Bull. Belg. Math. Soc. Simon Stevin 19 (1) 91 - 106, march 2012. https://doi.org/10.36045/bbms/1331153411
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