Irregular sets of two-sided Birkhoff averages and hyperbolic setsArkiv för Matematik - Tập 54 - Trang 13-30 - 2015
Luis Barreira, Jinjun Li, Claudia Valls
For two-sided topological Markov chains, we show that the set of points for which the two-sided Birkhoff averages of a continuous function diverge is residual. We also show that the set of points for which the Birkhoff averages have a given set of accumulation points other than a singleton is residual. A nontrivial consequence of our results is that the set of points for which the local entropies ...... hiện toàn bộ
Two new multivariable generating relationsArkiv för Matematik - Tập 30 - Trang 245-258 - 1992
Harol Exton
A multidimensional extension of Bailey's transform is utilised to deduce two new generating relations of quite a general character. These expressions are then specialised to give more practical formulae in terms of Karlsson's generalised Kampé de Fériet functions which embody very many generating relations. A number of interesting special cases are given in an appendix which includes results invol...... hiện toàn bộ
On lacunary power seriesArkiv för Matematik - Tập 5 Số 1-2 - Trang 1-26 - 1963
Jean‐Pierre Kahane, Mary Jane Weiss, Guido Weiss
L p -cohomology of negatively curved manifoldsArkiv för Matematik - Tập 43 - Trang 427-434 - 2005
Nader Yeganefar
We compute theL
p
-cohomology spaces of some negatively curved manifolds. We deal with two cases: manifolds with finite volume and sufficiently pinched negative curvature, and conformally compact manifolds.