On the Fourier transform, Boehmians, and distributions
Colloquium Mathematicum 108 (2007), 263-276 MSC: Primary 42B10, 44A40; Secondary 44A35, 46F12. DOI: 10.4064/cm108-2-8
We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.