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math.FA2015★ 29 cited
On quasianalytic classes of Gelfand-Shilov type. Parametrix and convolution
Stevan Pilipovic, Bojan Prangoski, Jasson Vindas
We develop a convolution theory for quasianalytic ultradistributions of Gelfand-Shilov type. We also construct a special class of ultrapolynomials, and use it as a base for the par…
math.FA2015
On a class of translation-invariant spaces of quasianalytic ultradistributions
Pavel Dimovski, Bojan Prangoski, Jasson Vindas
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 o…