On the Characterizations of Wave Front Sets in Terms of the Short-Time Fourier Transform

Mathematical Notes - It is well known that the classical and Sobolev wave fronts were extended to nonequivalent global versions by the use of the short-time Fourier transform. In this very short...     

On the convolution of Roumieu ultradistributions through the \epsilon tensor product

The equivalence of several definitions of convolution of two Roumieu ultradistributions is proved. For that purpose, the $\varepsilon $ tensor product of $\dot{\tilde{\mathcal{B }}}^{\{M_p\}}$ and a locally convex space $E$ is considered.