Poincaré Series and Duality Operators on Multiplicative Automorphic Forms

Verfasser / Beitragende:
[O. Sergeeva]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/3(2015-03-01), 445-454
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2258-z  |2 doi 
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100 1 |a Sergeeva  |D O.  |u Kemerovo State University, 6, Krasnaya St., 650043, Kemerovo, Russia  |4 aut 
245 1 0 |a Poincaré Series and Duality Operators on Multiplicative Automorphic Forms  |h [Elektronische Daten]  |c [O. Sergeeva] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/3(2015-03-01), 445-454  |x 1072-3374  |q 205:3<445  |1 2015  |2 205  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Sergeeva  |D O.  |u Kemerovo State University, 6, Krasnaya St., 650043, Kemerovo, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/3(2015-03-01), 445-454  |x 1072-3374  |q 205:3<445  |1 2015  |2 205  |o 10958