International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 9, Pages 583-588
doi:10.1155/S0161171200004762

Boehmians on manifolds

Piotr Mikusiński

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

Abstract

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.