On a Class of Translation-invariant Spaces of Quasianalytic Ultradistributions

@inproceedings{Dimovski2015OnAC,
  title={On a Class of Translation-invariant Spaces of Quasianalytic Ultradistributions},
  author={Pavel Dimovski and Bojan Prangoski and Jasson Vindas},
  year={2015}
}
A class of translation-invariant Banach spaces of quasianalytic ultradistributions is introduced and studied. They are Banach modules over a Beurling algebra. Based on this class of Banach spaces, we define corresponding test function spaces D∗ E and their strong duals D′∗ E′ ∗ of quasianalytic type, and study convolution and multiplicative products on D′∗ E′ ∗ . These new spaces generalize previous works about translation-invariant spaces of tempered (non-quasianalytic ultra-) distributions… CONTINUE READING