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Teoreticheskaya i Matematicheskaya Fizika, 1981, Volume 46, Number 3, Pages 305–309
(Mi tmf2334)
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This article is cited in 3 scientific papers (total in 3 papers)
Associative algebra of generalized functions closed with respect to differentiation and integration
G. K. Tolokonnikov, Yu. M. Shirokov
Abstract:
An associative algebra of generalized functions including the $\delta$ function and also functionals of a new type which are nonzero on the $\delta$ function and its derivatives is constructed. Involution, differentiation, and integration are defined in the algebra. It can be used to construct new strongly singular potentials and also in the Hamiltonian formulation of local quantum field theory.
Received: 18.03.1980
Citation:
G. K. Tolokonnikov, Yu. M. Shirokov, “Associative algebra of generalized functions closed with respect to differentiation and integration”, TMF, 46:3 (1981), 305–309; Theoret. and Math. Phys., 46:3 (1981), 200–203
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https://www.mathnet.ru/eng/tmf2334 https://www.mathnet.ru/eng/tmf/v46/i3/p305
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Abstract page: | 452 | Full-text PDF : | 169 | References: | 41 | First page: | 1 |
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