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, Bor{a}s University, Bor{a}s SE 501 90, Sweden
2Department of Mathematics, University of Central Florida, Orlando 32816-1364, FL, USA

Abstract

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