Borel matrix Michel
نویسنده
چکیده
We study the Borel summation method. We obtain a general sufficient condition for a given matrix A to have the Borel property. We deduce as corollaries, earlier results obtained by G. Müller and J.D. Hill. Our result is expressed in terms belonging to the theory of Gaussian processes. We show that this result cannot be extended to the study of the Borel summation method on arbitrary dynamical systems. However, in the Lp-setting, we establish necessary conditions of the same kind by using Bourgain’s entropy criterion.
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تاریخ انتشار 2010