GENERALIZED SPACES OF S AND S′ TYPES
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Gorodetskiy, V.V.
Kolisnyk, R.S.
Shevchuk, N.M.
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Abstract
In paper the topological structure of generalized spaces of S type and the basic operations in such spaces was investigated. The question of quasi-analyticity (non-quasi-analyticity) of generalized spaces of S type was studied. Some classes of pseudodifferential operators, properties of Fourier transformation of generalized functions from spaces of type S′, convolutions, convoluters and multipliers was investigated.