caa a22 4500 605521980 CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2258-z doi (NATIONALLICENCE)springer-10.1007/s10958-015-2258-z Sergeeva O. Kemerovo State University, 6, Krasnaya St., 650043, Kemerovo, Russia aut Poincaré Series and Duality Operators on Multiplicative Automorphic Forms [Elektronische Daten] [O. Sergeeva] We prove formulas establishing the relationship between bilinear pairings of dual (q, ρ)-forms and the (self)adjointness of the duality (Bers) operators relative to these bilinear pairings. Based on these formulas, we establish the commutativity of the duality operators with the mapping defining the ρ-Poincaré series and study other properties of this mapping. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/3(2015-03-01), 445-454 1072-3374 205:3<445 2015 205 10958 https://doi.org/10.1007/s10958-015-2258-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2258-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sergeeva O. Kemerovo State University, 6, Krasnaya St., 650043, Kemerovo, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/3(2015-03-01), 445-454 1072-3374 205:3<445 2015 205 10958