Parshin, A. N. The Mellin transform and the Plancherel theorem for the discrete Heisenberg group. (English. Russian original) Zbl 1436.20009 Proc. Steklov Inst. Math. 307, 174-192 (2019); translation from Tr. Mat. Inst. Steklova 307, 193-211 (2019). MSC: 20C15 20F18 PDFBibTeX XMLCite \textit{A. N. Parshin}, Proc. Steklov Inst. Math. 307, 174--192 (2019; Zbl 1436.20009); translation from Tr. Mat. Inst. Steklova 307, 193--211 (2019) Full Text: DOI
Osipov, D. V.; Parshin, A. N. Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields. (English. Russian original) Zbl 1377.11121 Proc. Steklov Inst. Math. 292, 185-201 (2016); translation from Tr. Mat. Inst. Steklova 292, 191-208 (2016). MSC: 11S23 11S85 20H05 20C15 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Proc. Steklov Inst. Math. 292, 185--201 (2016; Zbl 1377.11121); translation from Tr. Mat. Inst. Steklova 292, 191--208 (2016) Full Text: DOI arXiv
Vostokov, Sergei V.; Gorchinskiy, Sergey O.; Zheglov, Alexander B.; Zarkhin, Yurii G.; Nesterenko, Yuri V.; Orlov, Dmitri O.; Osipov, Denis V.; Popov, Vladimir L.; Sergeev, Armen G.; Shafarevich, Igor R. Aleksei Nikolaevich Parshin (on his 70th birthday). (English. Russian original) Zbl 1266.01042 Russ. Math. Surv. 68, No. 1, 189-197 (2013); translation from Usp. Mat. Nauk 68, No. 1, 201-207 (2013). MSC: 01A70 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Russ. Math. Surv. 68, No. 1, 189--197 (2013; Zbl 1266.01042); translation from Usp. Mat. Nauk 68, No. 1, 201--207 (2013) Full Text: DOI
Parshin, A. N. [Rezvyakova, Irina S.] Notes on the Poisson formula. With an appendix by Irina S. Rezvyakova. (English. Russian original) Zbl 1323.11065 St. Petersbg. Math. J. 23, No. 5, 781-818 (2012); translation from Algebra Anal. 23, No. 5, 1-54 (2011). MSC: 11M36 11M41 11R42 14G10 PDFBibTeX XMLCite \textit{A. N. Parshin}, St. Petersbg. Math. J. 23, No. 5, 781--818 (2012; Zbl 1323.11065); translation from Algebra Anal. 23, No. 5, 1--54 (2011) Full Text: DOI
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