Platonov, S. S. Generalized Bessel shifts and some inverse theorems in the theory of approximation of functions on a half-line. (Russian. English summary) Zbl 1190.41006 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 14, 44-58 (2007). MSC: 41A30 41A27 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 14, 44--58 (2007; Zbl 1190.41006)
Platonov, S. S. Expansion in eigenfunctions for some functional-differential operators. (Russian. English summary) Zbl 1282.34090 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 11, 14-33 (2004). MSC: 34L10 47G20 34K99 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 11, 14--33 (2004; Zbl 1282.34090)
Platonov, S. S. Fourier transform of functions satisfying the Lipschitz condition on the Lobachevskiĭplane. (Russian. English summary) Zbl 1282.42008 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 10, 31-40 (2003). MSC: 42A38 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 10, 31--40 (2003; Zbl 1282.42008)
Platonov, S. S. Generalized Bessel shifts and some problems in the theory of approximations of functions in the metric \(L_2\). II. (Russian) Zbl 1160.41306 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 8, 20-36 (2001). MSC: 41A30 41A17 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 8, 20--36 (2001; Zbl 1160.41306)
Platonov, S. S. Convergence and sequential convergence in some functional topological vector spaces. (Russian. English summary) Zbl 0977.46001 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 6, 68-91 (1999). MSC: 46A13 46E10 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 6, 68--91 (1999; Zbl 0977.46001)
Platonov, S. S. On a Paley-Wiener-Akhiezer theorem. (Russian) Zbl 1055.44500 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 5, 131-139 (1998). MSC: 44A20 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 5, 131--139 (1998; Zbl 1055.44500)
Platonov, S. S. Invariant subspaces in functional spaces of polynomial growth on \(\mathbb{R}^N\). (Russian. English summary) Zbl 0916.43004 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 4, 105-124 (1997). Reviewer: Bolis Basit (Clayton) MSC: 43A45 46E10 47A15 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 4, 105--124 (1997; Zbl 0916.43004)
Platonov, S. S. On the Nikol’skij-Besov classes on compact symmetric spaces of the rank 1. (Russian) Zbl 1042.46018 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 3, 153-172 (1996). Reviewer: Hans Triebel (MR 99g:46044) MSC: 46E35 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 3, 153--172 (1996; Zbl 1042.46018)
Platonov, S. S. Invariant subspaces in some functional spaces on the Euclidean space. (Russian) Zbl 0863.47006 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 2, 92-112 (1995). MSC: 47A15 46E10 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 2, 92--112 (1995; Zbl 0863.47006)
Platonov, S. S. Spaces that are invariant with respect to generalized Jacobi shifts. (Russian) Zbl 0863.47007 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 2, 71-91 (1995). MSC: 47A15 46E10 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 2, 71--91 (1995; Zbl 0863.47007)
Platonov, S. S. On one-to-one correspondence between invariant subspaces in some spaces. (Russian. English summary) Zbl 0922.43005 Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 1, 54-60 (1993). MSC: 43A45 47A10 46E20 PDFBibTeX XMLCite \textit{S. S. Platonov}, Tr. Petrozavodsk. Gos. Univ., Ser. Mat. 1, 54--60 (1993; Zbl 0922.43005)