Loonker, Deshna; Banerji, P. K. Natural transform for distribution and Boehmian space. (English) Zbl 1270.46035 Math. Eng. Sci. Aerosp. MESA 4, No. 1, 69-76 (2013). Summary: The natural transform (\(N\) transform) is employed for distribution spaces \(\mathcal D^{\prime}\), the dual of the space \(\mathcal D\). Basic theorems and properties are proved for this space. The integrable Boehmian space is also defined for the natural transform. Cited in 4 Documents MSC: 46F12 Integral transforms in distribution spaces 46F05 Topological linear spaces of test functions, distributions and ultradistributions Keywords:natural transform; Fourier transform; Laplace transform; test function space; distribution spaces; Boehmian spaces PDFBibTeX XMLCite \textit{D. Loonker} and \textit{P. K. Banerji}, Math. Eng. Sci. Aerosp. MESA 4, No. 1, 69--76 (2013; Zbl 1270.46035) Full Text: Link