- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Boehmians on the torus Bull. Korean Math. Soc. 2006 Vol. 43, No. 4, 831-839 Printed December 1, 2006 Dennis Nemzer California State University Abstract : By relaxing the requirements for a sequence of functions to be a delta sequence, a space of Boehmians on the torus $\beta(T^d)$ is constructed and studied. The space $\beta(T^d)$ contains the space of distributions as well as the space of hyperfunctions on the torus. The Fourier transform is a continuous mapping from $\beta(T^d)$ onto a subspace of Schwartz distributions. The range of the Fourier transform is characterized. A necessary and sufficient condition for a sequence of Boehmians to converge is that the corresponding sequence of Fourier transforms converges in $\mathcal{D}'(\RR^d)$. Keywords : Boehmian, Fourier transform, distribution MSC numbers : 44A40, 46F12, 42B05 Downloads: Full-text PDF