International Journal of Mathematics and Mathematical Sciences 
Volume 2005 (2005), Issue 16, Pages 2579-2584
doi:10.1155/IJMMS.2005.2579

On the Fourier transform and the exchange property

Dragu Atanasiu1 and Piotr Mikusiński2

 1School of Engineering, Borås University, Borås SE 501 90, Sweden
2Department of Mathematics, University of Central Florida, Orlando 32816-1364, FL, USA
Received 19 June 2005

Abstract

A simplified construction of tempered Boehmians is presented. The new construction shows that considering delta sequences and convergence arguments is not essential.