Displaying similar documents to “Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations”
Divergence and summability of normal forms of systems of differential equations with nilpotent linear part
Mireille Canalis-Durand, Reinhard Schäfke (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Necessary and sufficient conditions for matrix summability methods to be stronger than multisummability
Werner Balser, Andreas Beck (1996)
Annales de l'institut Fourier
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For general matrix summability methods, we find necessary and sufficient conditions for such methods to be stronger than multisummability. In a second part we show the existence of power series which are not multisummable but can be summed by a matrix method satisfying the conditions mentioned above
Analyzability in the context of PDEs and applications
Ovidiu Costin, Saleh Tanveer (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Boundary behavior and Cesàro means of universal Taylor series.
Frédéric Bayart (2006)
Revista Matemática Complutense
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We study boundary properties of universal Taylor series. We prove that if f is a universal Taylor series on the open unit disk, then there exists a residual subset G of the unit circle such that f is unbounded on all radii with endpoints in G. We also study the effect of summability methods on universal Taylor series. In particular, we show that a Taylor series is universal if and only if its Cesàro means are universal.