Representation of quasianalytic ultradistributions
Representation of quasianalytic ultradistributions
We give the following representation theorem for a class containing quasianalytic ultradistributions and all the non-quasianalytic ultradistributions: Every ultradistribution in this class can be written as $u = P(\Delta )g(x) + h(x)$ where g(x) is a bounded continuous function, h(x) is a bounded real analytic function and P(d/dt) is an …