Tempered Boehmians and Ultradistributions
Piotr Mikusiński · Proceedings of the American Mathematical Society · 1995
An extension of the Fourier transform which is a one-to-one continuous mapping from the space of tempered Boehmians onto the space of Schwartz distributions is introduced. This shows that the space of tempered Boehmians can be identified with the space xi(1) of ultradistributions.