We study the a.e. convergence of the Cesàro-$(1+\alpha)$ ergodic averages and the a.e. existence in the Cesàro-$\alpha$ sense of the ergodic Hilbert transform associated with Cesàro bounded flow and $-1\lt \alpha \leq 0$.

This thesis studies the convergence of some operators Cesàro sense when they are defined in the context of product spaces. In this context the results obtained on the convergence of the averages of Cesàro in product spaces ...

The existence of the singular integral$int K(x,y) f(y) dy$associated to a Calder´on-Zygmund kernel where the integral is understood inthe principal value sense$Tf(x)=lim_{epsilon o {0^+}}int_{|x-y|>epsilon} K(x,y) f(y) ...

Recently, Sarrión and the authors gave a sufficient condition on invertible Lamperti operators on Lp which guarantees the convergence in the Cesàro-α sense of the ergodic averages and the ergodic Hilbert transform for all ...

La acción espectral es el concepto natural y apropiado para hablar de una acción en el espacio de triplas espectrales, y fue introducido por primera vez por Chamseddine y Connes en 1997. Después de incluir definiciones y ...

Accuracy measurement of the impedance over a spread spectrum is the foundation of impedance spectroscopy (IS) technique, which has been recently proposed as a simple noninvasive technique for impedance spectrum measurement ...