‎In The endoscopic classification of representations‎‎, ‎J‎. ‎Arthur has proved the Langlands' classification for discrete series of p-adic classical groups‎. ‎This uses endoscopy and twisted endoscopy‎. ‎In this very short note‎, ‎we remark that the normalization ‎$‎rm‎grave{a}‎$‎ la Langlands-Shahidi of the intertwining operators‎, ‎allows to avoid endoscopy‎. ‎This is based on the intertwini...

Discrete wavelet transform (DWT) is computed by subband lters bank and often used to approximate wavelet series (WS) and continuous wavelet transform (CWT). The approximation is often inaccurate because of the improper initialized discretization of the continuous-time signal. In this paper, the problem is analyzed and two simple algorithms for the initialization are introduced. Finally, numeric...

Statistical inference for discrete-valued time series has not been developed like traditional methods generated by continuous random variables. Some relevant models exist, but the lack of a homogenous framework raises some critical issues. For instance, it is trivial to explore whether are nested and quite arduous derive stochastic properties which simultaneously hold across different specifica...