Extensions of nonclosable operators and multiplication of distributions
| Autor: | Ćemal B. Dolićanin, A. B. Antonevich |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Algebra and Number Theory Generalized function Computer science lcsh:Mathematics Extension (predicate logic) lcsh:QA1-939 multiplication of distributions Algebra extension of operator Computational Theory and Mathematics closed operator Obstacle Discrete Mathematics and Combinatorics Multiplication |
| Zdroj: | Журнал Белорусского государственного университета: Математика, информатика, Iss 3, Pp 6-17 (2019) |
| ISSN: | 2617-3956 2520-6508 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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