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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 4, Pages 902–914 (Mi smj2013)  
This article is cited in 3 scientific papers (total in 3 papers)

Modified Bers operators and the duality of multiplicative holomorphic automorphic forms

O. A. Sergeeva

Kemerovo State University, Faculty of Mathematics, Kemerovo
Full-text PDF (329 kB) Citations (3)
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Abstract: The integral Bers operator, related to a reflection in some quasicircle, plays an important role in the theory of single-valued automorphic forms [1, 2]. Study was started in [3] of the normed spaces of measurable and multiplicative holomorphic automorphic forms for a Fuchsian group. In the present article we introduce some basic multiplicative modifications of the Bers operator and the corresponding bilinear pairing in connection with duality in the spaces of multiplicative holomorphic automorphic forms. Under study we obtain a universal norm estimate and establish selfadjointness for all operators.
Keywords: modified Bers operator, multiplicative holomorphic automorphic form, bilinear pairing, duality.
Received: 25.06.2007
Revised: 10.09.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 4, Pages 715–725
DOI: https://doi.org/10.1007/s11202-009-0082-8
Bibliographic databases:
UDC: 517.54:517.862
Language: Russian
Citation: O. A. Sergeeva, “Modified Bers operators and the duality of multiplicative holomorphic automorphic forms”, Sibirsk. Mat. Zh., 50:4 (2009), 902–914; Siberian Math. J., 50:4 (2009), 715–725
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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