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math.FA2024
Topology and regularity for generalized ultradistribution algebras
Stevan Pilipovic, Dragana Risteski, Dimitris Scarpalezos +1
Compiling essential results for non-quasianalytic ultradistribution spaces and Colombeau versions of generalized ultradistribution algebras, we analyze strong - and strong -a…
math.AP2024
An introduction to extended Gevrey regularity
Nenad Teofanov, Filip TomiÄ, Milica ŽigiÄ
Gevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider s…
math.PR2024
Stochastic evolution equations with Wick-analytic nonlinearities
Tijana Levajkovic, Stevan Pilipovic, Dora Selesi +1
We study nonlinear stochastic partial differential equations with Wick-analytic type nonlinearities set in the framework of white noise analysis. These equations include the stocha…