The pseudodifferential operators of infinite order (particularly, hypersingular integrals of infinite order) with non-smooth symbols in point 0 are constructed on the space Φ" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">, which is a complete perfect finitely normalized space with topology of projective boundary of Banach space. The topological structure of Fourier images F[Φ]" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> is investigated.
- ACS Style
- Gorodetskii, V.; Ratushniak , V.P. On a class of pseudodifferential operators of infinite order. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Gorodetskii V, Ratushniak VP. On a class of pseudodifferential operators of infinite order. Bukovinian Mathematical Journal. 2018; 1(239).
- Chicago/Turabian Style
- Vasyl Gorodetskii, Valeriy Petrovych Ratushniak . 2018. "On a class of pseudodifferential operators of infinite order". Bukovinian Mathematical Journal. 1 no. 239.