In [7], results about the global Jacquet-Langlands correspondence, (weak and strong) multiplicity-one theorems and the classification of automorphic representations for inner forms of the general linear group over a number field are established, under the condition that the local inner forms are split at archimedean places. In this paper, we extend the main local results of [7] to archimedean p...

We generalize a classical result of Andrianov on the decomposition Hecke polynomials. If G is connected reductive group defined over non-archimedean local field

A topological group G is Polish if its topology admits a compatible separable complete metric. Such a group is non-archimedean if it has a basis at the identity that consists of open subgroups. This class of Polish groups includes the profinite groups and (Qp, +) but our main interest here will be on non-locally compact groups. In recent years there has been considerable activity in the study o...

This study compared performance of both English language learners (ELLs) and non-ELL students in Grades 4 and 8 under accommodated and nonaccommodated testing conditions. The accommodations used in this study included a computerized administration of a math test with a pop-up glossary, a customized English dictionary, extra testing time, and small-group testing. Extra time and small-group testi...

In this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f(alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-Archimedean number with $alpha^{-2}neq 3$. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the quadratic $alpha$-functional equation (0.1) in non-Archimedean Banach spaces.

ELL-12, a liposome formulation of the ether-lipid 1-Ooctadecyl-2-O-methyl-sn-glycero-3-phosphocholine (ET-18OCH3), is a nonmyelosuppressive antiproliferative agent that is more effective and less toxic than the ether lipid itself in tumor model systems. We found that ELL-12 induced apoptosis in Jurkat, H9, and U-937 cells that was preceded by activation of executioner caspases. In addition, ELL...

This is the first of two papers on the electrosensory lobe (ELL) of mormyrid electric fish. The ELL is the first stage in the central processing of electrosensory information from electroreceptors. Cells of the mormyrid ELL are affected at the time of the electric organ discharge (EOD) by two different inputs, EOD-evoked reafferent input from electroreceptors and corollary discharge input assoc...

‎Let $S$ be an inverse semigroup with the set of idempotents $E$‎. We prove that the semigroup algebra $ell^{1}(S)$ is always‎ ‎$2n$-weakly module amenable as an $ell^{1}(E)$-module‎, ‎for any‎ ‎$nin mathbb{N}$‎, ‎where $E$ acts on $S$ trivially from the left‎ ‎and by multiplication from the right‎. ‎Our proof is based on a common fixed point property for semigroups‎.  

Stochastic processes on manifolds over non-Archimedean fields and with transition measures having values in the field C of complex numbers are studied. Stochastic antideriva-tional equations (with the non-Archimedean time parameter) on manifolds are investigated. 1. Introduction. Stochastic processes and stochastic differential equations on real Banach spaces and manifolds on them were intensiv...