نتایج جستجو برای: automorphic dual

تعداد نتایج: 157675  

2000
HENK BRUIN

We study exactness and maximal automorphic factors of C3 unimodal maps of the interval. We show that for a large class of infinitely renormalizable maps, the maximal automorphic factor is an odometer with an ergodic non-singular measure. We give conditions under which maps with absorbing Cantor sets have an irrational rotation on a circle as a maximal automorphic factor, as well as giving exact...

2013
SAMUEL CASTILLO MANUEL PINTO

We study almost automorphic solutions of recurrence relations with values in a Banach space V for quasilinear almost automorphic difference systems. Its linear part is a constant bounded linear operator Λ defined on V satisfying an exponential dichotomy. We study the existence of almost automorphic solutions of the non-homogeneous linear difference equation and to quasilinear difference equatio...

2014
Paul Garrett

[1] Despite contrary assertions in the literature, rewriting Eisenstein series, as opposed to more general automorphic forms, on adele groups does not use Strong Approximation. Strong Approximation does make precise the relation between general automorphic forms on adele groups and automorphic forms on SL2 and even on SLn, but rewriting these Eisenstein series does not need this comparison. Ind...

2008
S. Lombardo A. V. Mikhailov

We study a new class of infinite dimensional Lie algebras, which has important applications to the theory of integrable equations. The construction of these algebras is very similar to the one for automorphic functions and this motivates the name automorphic Lie algebras. For automorphic Lie algebras we present bases in which they are quasigraded and all structure constants can be written out e...

2012
YONGSHENG HAN GUOZHEN LU ERIC SAWYER

Marcinkiewicz multipliers are L bounded for 1 < p < ∞ on the Heisenberg group H ≃ C × R (D. Muller, F. Ricci and E. M. Stein [25], [26]). This is surprising in that this class of multipliers is invariant under a two parameter group of dilations on C × R, while there is no two parameter group of automorphic dilations on H. This lack of automorphic dilations underlies the inability of classical o...

2003
GORDAN SAVIN

Let π be a cuspidal automorphic representation of PGL3(A) (where A is the adele ring of F ). The functoriality conjecture of Langlands predicts that, via the inclusion γ of dual groups, there is a global L-packet L(π) of G2 associated to π. Indeed, for each place v of F , there should be a local L-packet L(πv) of G2(Fv). It is expected that L(πv) contains a unique generic representation σ(πv). ...

2008
MASATOSHI SUZUKI

Two dimensional adelic objects were introduced by I. Fesenko in his study of the Hasse zeta function associated to a regular model E of the elliptic curve E. The Hasse-Weil L-function L(E, s) of E appears in the denominator of the Hasse zeta function of E . The two dimensional adelic analysis predicts that the integrand h of the boundary term of the two dimensional zeta integral attached to E i...

2016
EDGARDO ALVAREZ CARLOS LIZAMA

We study weighted pseudo almost automorphic solutions for the nonlinear fractional difference equation ∆u(n) = Au(n+ 1) + f(n, u(n)), n ∈ Z, for 0 < α ≤ 1, whereA is the generator of an α-resolvent sequence {Sα(n)}n∈N0 in B(X). We prove the existence and uniqueness of a weighted pseudo almost automorphic solution assuming that f(·, ·) is weighted almost automorphic in the first variable and sat...

1992
M. BURGER J. S. LI P. SARNAK

We introduce the notion of the automorphic dual of a matrix algebraic group defined over Q . This is the part of the unitary dual that corresponds to arithmetic spectrum. Basic funcional properties of this set are derived and used both to deduce arithmetic vanishing theorems of "Ramanujan" type as well as to give a new construction of automorphic forms. Let G be a semisimple linear algebraic gr...

D‎. ‎ Ginzburg S‎. ‎ Friedberg,

We study the automorphic theta representation $Theta_{2n}^{(r)}$ on the $r$-fold cover of the symplectic group $Sp_{2n}$‎. ‎This representation is obtained from the residues of Eisenstein series on this group‎. ‎If $r$ is odd‎, ‎$nle r

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