کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6425928 1345396 2012 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the rapid decay of cuspidal automorphic forms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On the rapid decay of cuspidal automorphic forms
چکیده انگلیسی

Many important analytic statements about automorphic forms, such as the analytic continuation of certain L-functions, rely on the well-known rapid decay of K-finite cusp forms on Siegel sets. We extend this here to prove a more general decay statement along sets much larger than Siegel sets, and furthermore state and prove the decay for smooth but not necessarily K-finite cusp forms. We also state a general theorem about the convergence of Rankin-Selberg integrals involving unipotent periods, closing a gap in the literature on L-functions. These properties serve as the analytic basis (Miller and Schmid, 2009 [15]) of a new method to establish holomorphic continuations of Langlands L-functions, in particular the exterior square L-functions (Miller and Schmid, 2009 [16]) on GL(n).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 231, Issue 2, 1 October 2012, Pages 940-964
نویسندگان
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