International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 9, Pages 583-588

Boehmians on manifolds

Piotr Mikusiński

Department of Mathematics, University of Central Florida, Orlando 32816-1364, FL, USA

Received 13 March 2000

Copyright © 2000 Piotr Mikusiński. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The construction of Boehmians on a manifold requires a commutative convolution structure. We present such constructions in two specific cases: an N-dimensional torus and an N-dimensional sphere. Then we formulate conditions under which a construction of Boehmians on a manifold is possible.