Duke Mathematical Journal

Absolute convergence of Eisenstein series on loop groups

Howard Garland

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Abstract

In earlier work, we established the a.e. convergence of certain Eisenstein series on arithmetic quotients of loop groups. In this article we prove that these series converge everywhere, and uniformly on certain bounded sets

Article information

Source
Duke Math. J. Volume 135, Number 2 (2006), 203-260.

Dates
First available in Project Euclid: 17 October 2006

Permanent link to this document
https://projecteuclid.org/euclid.dmj/1161093264

Digital Object Identifier
doi:10.1215/S0012-7094-06-13521-4

Mathematical Reviews number (MathSciNet)
MR2267283

Zentralblatt MATH identifier
1160.11025

Subjects
Primary: 11F99: None of the above, but in this section
Secondary: 22E67: Loop groups and related constructions, group-theoretic treatment [See also 58D05]

Citation

Garland, Howard. Absolute convergence of Eisenstein series on loop groups. Duke Math. J. 135 (2006), no. 2, 203--260. doi:10.1215/S0012-7094-06-13521-4. https://projecteuclid.org/euclid.dmj/1161093264.


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References

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