نتایج جستجو برای: automorphic dual

تعداد نتایج: 157675  

2010
Hui-Sheng Ding Jin Liang Ti-Jun Xiao

Copyright q 2010 Hui-Sheng Ding et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equat...

2005
AKSHAY VENKATESH

We introduce a “geometric” method to bound periods of automorphic forms. The key features of this method are the use of equidistribution results in place of mean value theorems, and the systematic use of mixing and the spectral gap. Applications are given to equidistribution of sparse subsets of horocycles and to equidistribution of CM points; to subconvexity of the triple product period in the...

1999
C. S. RAJAN Dennis A. Hejhal

We state a qualitative form of strong multiplicity one for GL1. We derive refinements of strong multiplicity one for automorphic representations arising from Eisenstein series associated to a Borel subgroup on GL(n), and for the cuspidal representations on GL(n) induced from idele class characters of cyclic extensions of prime degree. These results are in accordance with a conjecture of D. Rama...

2008
CLAUDIO CUEVAS CARLOS LIZAMA

Given a ∈ L(R) and A the generator of an L-integrable family of bounded and linear operators defined on a Banach space X, we prove the existence of almost automorphic solution to the semilinear integral equation u(t) = ∫ t −∞ a(t − s)[Au(s) + f(s, u(s))]ds for each f : R × X → X almost automorphic in t, for each x ∈ X, and satisfying diverse Lipschitz type conditions. In the scalar case, we pro...

2015
KEVIN BUZZARD

We state conjectures on the relationships between automorphic representations and Galois representations, and give evidence for them.

Journal: :Duke Mathematical Journal 2021

According to the Langlands functoriality conjecture, broadened setting of spherical varieties (of which reductive groups are special cases), a map between L -groups should give rise functorial transfer their local and automorphic spectra. The “beyond endoscopy” proposal predicts that this will be realized as comparison limiting forms (relative) trace formulas these spaces. In paper, we establis...

Journal: :Journal of Algebra 1976

Journal: :Mathematische Annalen 2011

2005
Paul Garrett

This bears upon the construction of non-trivial residual square-integrable automorphic forms coming from cuspforms on smaller groups, anticipating that such automorphic forms occur as residues of Eisenstein series. For example, we can see why there is no interesting (i.e., non-constant) non-cuspidal discrete spectrum for GL(2) nor for GL(3), but only for GL(4) and larger groups. Namely, the Eis...

2012
TOKA DIAGANA

In this article, first we introduce and study the concept of Sγ pseudo almost automorphy (or generalized Stepanov-like pseudo almost automorphy), which is more general than the notion of Stepanov-like pseudo almost automorphy due to Diagana. We next study the existence of solutions to some classes of nonautonomous differential equations of Sobolev type in Sγ -pseudo almost automorphic spaces. T...

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