Geodesic
Borel matrix
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 401-415.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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. M"uller 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 $L^p$-setting, we establish necessary conditions of the same kind by using Bourgain's entropy criterion.
Classification : 28D05, 40G10, 49A35, 60F15, 60G15
Keywords: Borel matrix; almost sure convergence; \text{\sl GB} and \text{\sl GC} sets; Gaussian processes 
@article{CMUC_1995__36_2_a17,
     author = {Weber, Michel},
     title = {Borel matrix},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {401--415},
     publisher = {mathdoc},
     volume = {36},
     number = {2},
     year = {1995},
     mrnumber = {1357539},
     zbl = {0837.28014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a17/}
}
TY  - JOUR
AU  - Weber, Michel
TI  - Borel matrix
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1995
SP  - 401
EP  - 415
VL  - 36
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a17/
LA  - en
ID  - CMUC_1995__36_2_a17
ER  - 
%0 Journal Article
%A Weber, Michel
%T Borel matrix
%J Commentationes Mathematicae Universitatis Carolinae
%D 1995
%P 401-415
%V 36
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a17/
%G en
%F CMUC_1995__36_2_a17
Weber, Michel. Borel matrix. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 401-415. http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a17/