RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Guidelines for authors Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 J. Sib. Fed. Univ. Math. Phys.: Year: Volume: Issue: Page: Find

 J. Sib. Fed. Univ. Math. Phys., 2011, Volume 4, Issue 1, Pages 128–139 (Mi jsfu170)

The bilinear pairings for the holomorphic $(q,\rho)$-forms

Olga A. Sergeeva

Kemerovo State University, Kemerovo, Russia

Abstract: Study was started in [1, 2] of the normed spaces of multiplicative holomorphic automorphic forms for a Fuchsian group. In the present article bilinear pairings for general duality of the $(q,\rho)$-forms are considered. The symmetric variant of bilinear pairing which can be used in the theory of single-valued automorphic forms is received. On the basis of the entered bilinear pairings the modified integral Bers operators corresponding to them are investigated. These operators relate to a reflection in some quasicircle and also are connected to the general duality of $(q,\rho)$-forms. Under study the universal norm estimates for all operators is received.

Keywords: bilinear pairing, duality, multiplicative automorphic form, Bers operator.

Full text: PDF file (226 kB)
References: PDF file   HTML file
UDC: 517.54+517.862
Accepted: 10.07.2010

Citation: Olga A. Sergeeva, “The bilinear pairings for the holomorphic $(q,\rho)$-forms”, J. Sib. Fed. Univ. Math. Phys., 4:1 (2011), 128–139

Citation in format AMSBIB
\Bibitem{Ser11} \by Olga~A.~Sergeeva \paper The bilinear pairings for the holomorphic $(q,\rho)$-forms \jour J. Sib. Fed. Univ. Math. Phys. \yr 2011 \vol 4 \issue 1 \pages 128--139 \mathnet{http://mi.mathnet.ru/jsfu170} 

• http://mi.mathnet.ru/eng/jsfu170
• http://mi.mathnet.ru/eng/jsfu/v4/i1/p128

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. O. A. Sergeeva, “The Poincare Series and Operators of Duality for Multiplicative Automorphic Forms”, J. Math. Sci., 205:3 (2015), 445–454
•  Number of views: This page: 205 Full text: 60 References: 42