Osipov, Denis V.; Parshin, Alekseĭ N. Harmonic analysis on the rank-2 value group of a two-dimensional local field. (English. Russian original) Zbl 1452.43005 Sb. Math. 211, No. 1, 115-160 (2020); translation from Mat. Sb. 211, No. 1, 125-174 (2020). MSC: 43A70 11S80 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Sb. Math. 211, No. 1, 115--160 (2020; Zbl 1452.43005); translation from Mat. Sb. 211, No. 1, 125--174 (2020) Full Text: DOI arXiv
Arnal’, S. A.; Parshin, A. N. On irreducible representations of discrete Heisenberg groups. (English. Russian original) Zbl 1264.43007 Math. Notes 92, No. 3, 295-301 (2012); translation from Mat. Zametki 92, No. 3, 323-330 (2012). Reviewer: E. K. Narayanan (Bangalore) MSC: 43A65 43A40 22A25 PDFBibTeX XMLCite \textit{S. A. Arnal'} and \textit{A. N. Parshin}, Math. Notes 92, No. 3, 295--301 (2012; Zbl 1264.43007); translation from Mat. Zametki 92, No. 3, 323--330 (2012) Full Text: DOI
Osipov, D. V.; Parshin, A. N. Harmonic analysis and the Riemann-Roch theorem. (English. Russian original) Zbl 1350.14015 Dokl. Math. 84, No. 3, 826-829 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 444-448 (2011). Reviewer: Dmitri A. Timashev (Moskva) (MR2951489) MSC: 14C40 11R56 14G15 43A60 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Dokl. Math. 84, No. 3, 826--829 (2011; Zbl 1350.14015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 444--448 (2011) Full Text: DOI arXiv
Parshin, A. N. On holomorphic representations of discrete Heisenberg groups. (English. Russian original) Zbl 1232.43005 Funct. Anal. Appl. 44, No. 2, 156-159 (2010); translation from Funkts. Anal. Prilozh. 44, No. 2, 92-96 (2010). Reviewer: Maciej Borodzik (Warszawa) MSC: 43A65 PDFBibTeX XMLCite \textit{A. N. Parshin}, Funct. Anal. Appl. 44, No. 2, 156--159 (2010; Zbl 1232.43005); translation from Funkts. Anal. Prilozh. 44, No. 2, 92--96 (2010) Full Text: DOI
Osipov, D. V.; Parshin, A. N. Harmonic analysis on local fields and adelic spaces. I. (English. Russian original) Zbl 1222.11137 Izv. Math. 72, No. 5, 915-976 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 5, 77-140 (2008). Reviewer: V. Popa (Chisinau) MSC: 11R56 11S31 43A32 43A95 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Izv. Math. 72, No. 5, 915--976 (2008; Zbl 1222.11137); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 5, 77--140 (2008) Full Text: DOI arXiv