Mincheva-Kamińska, Svetlana Sequential approach to integrable distributions. (English) Zbl 1265.46056 Novi Sad J. Math. 41, No. 1, 123-131 (2011). The test function space for integrable distributions is the space \(\mathcal B_0\) of smooth functions vanishing at infinity together with all of their derivatives. The list of equivalent conditions for a distribution to be integrable is given in [P. Dierolf and J. Voigt, Collect. Math. 29, 185–195 (1978; Zbl 0393.46034)]. By the use of the notion of unit-sequences and special-unit sequences, the author extends distributions from \(\mathcal B_0\) to its bidual space in the appropriate topology of smooth functions. This construction leads to an extension of the list of various equivalent conditions for integrability of distributions. Reviewer: Nenad Teofanov (Novi Sad) Cited in 1 Document MSC: 46F05 Topological linear spaces of test functions, distributions and ultradistributions Keywords:convolution of distributions; special unit-sequences Citations:Zbl 0393.46034 PDFBibTeX XMLCite \textit{S. Mincheva-Kamińska}, Novi Sad J. Math. 41, No. 1, 123--131 (2011; Zbl 1265.46056)