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Natural transform for distribution and Boehmian space. (English) Zbl 1270.46035

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.

MSC:

46F12 Integral transforms in distribution spaces
46F05 Topological linear spaces of test functions, distributions and ultradistributions
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