In this paper we will discuss the version of the Fourier analysis and pseudodifferential operators on the torus. Using the toroidal Fourier transform we will show several simplifications of the standard theory. We will also discuss the corresponding toroidal version of Fourier integral operators. To distinguish them from those defined using the Euclidean Fourier transform, we will call them Fou...

Extended Abstract. Forecasting is one of the most important purposes of time series analysis. For many years, classical methods were used for this aim. But these methods do not give good performance results for real time series due to non-linearity and non-stationarity of these data sets. On one hand, most of real world time series data display a time-varying second order structure. On th...

Let π $\pi$ be a cuspidal automorphic representation of GSp 4 ( A Q ) $\operatorname{GSp}_4(\mathbf {A}_\mathbf {Q})$ , whose archimedean component is holomorphic discrete series or limit representation. If not CAP endoscopic, then we show that its associated ℓ $\ell$ -adic Galois representations are irreducible and crystalline for 100 % $100\%$ primes . If, moreover, neither an induction nor s...

Abstract This study aimed to investigate how English language teaching textbooks portrayed male and female social actors according to their social roles and gender identities. To examine the linguistic representation of male and female social actors and construction of gender identities in ELT textbooks, Top Notch series was selected. To do so, attempts were made to analyze the series in terms ...

We call a Maass lift a prescription to associate an irreducible admissible resp. uni-tary representation of G = PGSp(4) to an irreducible admissible resp. unitary representation of the Jacobi group G J = SL(2) n H. Such a prescription is constructed in the general local case for the principal series representations J m;; of G J and moreover in the real case for the discrete series representatio...

We construct and study the holomorphic discrete series representation and the principal series representation of the symplectic group Sp(2n, F) over a p-adic field F as well as a duality between some sub-representations of these two representations. The constructions of these two representations generalize those defined in Morita and Murase’s works. Moreover, Morita built a duality for SL(2, F)...

abstract this study aimed to investigate how english language teaching textbooks portrayed male and female social actors according to their social roles and gender identities. to examine the linguistic representation of male and female social actors and construction of gender identities in elt textbooks, top notch series was selected. to do so, attempts were made to analyze the series in terms ...