Linearization of analytic and non-analytic germs of diffeomorphisms of
Timoteo Carletti, Stefano. Marmi (2000)
Bulletin de la Société Mathématique de France
Similarity:
Displaying similar documents to “Exact asymptotics of nonlinear difference equations with levels and ”
Linearization of analytic and non-analytic germs of diffeomorphisms of
A “Hardy-Littlewood” approach to the -unit equation
G. R. Everest (1989)
Compositio Mathematica
Similarity:
A simple proof of the mean fourth power estimate for and
K. Ramachandra (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Exponentially long time stability for non-linearizable analytic germs of .
Timoteo Carletti (2004)
Annales de l’institut Fourier
Similarity:
We study the Siegel-Schröder center problem on the linearization of analytic germs of diffeomorphisms in several complex variables, in the Gevrey-, category. We introduce a new arithmetical condition of Bruno type on the linear part of the given germ, which ensures the existence of a Gevrey- formal linearization. We use this fact to prove the effective stability, i.e. stability for finite but long time, of neighborhoods of the origin, for the analytic germ.
On Bloch functions and gap series.
Daniel Girela (1991)
Publicacions Matemàtiques
Similarity:
Kennedy obtained sharp estimates of the growth of the Nevanlinna characteristic of the derivative of a function f analytic and with bounded characteristic in the unit disc. Actually, Kennedy's results are sharp even for VMOA functions. It is well known that any BMOA function is a Bloch function and any VMOA function belongs to the little Bloch space. In this paper we study the possibility of extending Kennedy's results to certain classes of Bloch functions. Also, we prove some more general...
Asymptotic analysis of a class of functional equations and applications
P. J. Grabner, H. Prodinger, R. F. Tichy (1993)
Journal de théorie des nombres de Bordeaux
Similarity:
Flajolet and Richmond have invented a method to solve a large class of divide-and-conquer recursions. The essential part of it is the asymptotic analysis of a certain generating function for by means of the Mellin transform. In this paper this type of analysis is performed for a reasonably large class of generating functions fulfilling a functional equation with polynomial coefficients. As an application, the average life time of a party of people is computed, where each person advances...