Geodesic
Extensions of nonclosable operators and multiplication of distributions
Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2019), pp. 6-17

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In the paper some new constructions of extensions of nonclosable operators is proposed and several examples of applications are given. One of particular cases of the problem under consideration is the question on multiplication of distributions, a solution to which can be given by introduction of the so-called new generalized functions. It was demonstrated that the main obstacle for multiplication of distributions is nonclosablility of classical multiplication and the construction of new generalized functions is based on the ideas similar to that used under construction of the extension of nonclosable operators.
Keywords: extension of operator; closed operator; multiplication of distributions. 
@article{BGUMI_2019_3_a0,
     author = {A. B. Antonevich and C. Dolicanin},
     title = {Extensions of nonclosable operators and multiplication of distributions},
     journal = {Journal of the Belarusian State University. Mathematics and Informatics},
     pages = {6--17},
     publisher = {mathdoc},
     volume = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/BGUMI_2019_3_a0/}
}
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A. B. Antonevich; C. Dolicanin. Extensions of nonclosable operators and multiplication of distributions. Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2019), pp. 6-17. http://geodesic.mathdoc.fr/item/BGUMI_2019_3_a0/