scholarly journals A p-adic approach to local analytic dynamics: analytic conjugacy of analytic maps tangent to the identity

2009 ◽  
Vol 18 (3) ◽  
pp. 611-634 ◽  
Author(s):  
Adrian Jenkins ◽  
Steven Spallone
Keyword(s):  
Analytic Maps ◽  
Tangent To The Identity

LOCAL ANALYTIC CONJUGACY OF SEMI-HYPERBOLIC MAPPINGS IN TWO VARIABLES, IN THE NON-ARCHIMEDEAN SETTING

2012 ◽  
Vol 23 (06) ◽  
pp. 1250059
Author(s):  
ADRIAN JENKINS ◽  
STEVEN SPALLONE
Keyword(s):  
Dimensional Space ◽  
Two Dimensional ◽  
Local Dynamics ◽  
Estimation Scheme ◽  
Analytic Maps ◽  
Tangent To The Identity ◽  
Analytic Mappings

In this note, we consider locally invertible analytic mappings of a two-dimensional space over a non-archimedean field. Such a map is called semi-hyperbolic if its Jacobian has eigenvalues λ1 and λ2 so that λ1 = 1 and |λ2| ≠ 1. We prove that two analytic semi-hyperbolic maps are analytically equivalent if and only if they are formally equivalent, applying a generalized version of an estimation scheme from our earlier work [A. Jenkins and S. Spallone, A p-adic approach to local dynamics: Analytic flows and analytic maps tangent to the identity, Ann. Fac. Sci. Toulouse Math. (6) 18(3) (2009) 611–634].

Fixed Points of Expansive Analytic Maps (II)

1992 ◽  
Author(s):  
Walter O. Egerland ◽  
Charles E. Hansen
Keyword(s):  
Fixed Points ◽  
Analytic Maps

scholarly journals Algebraicity of analytic maps to a hyperbolic variety

2020 ◽  
Vol 293 (8) ◽  
pp. 1490-1504 ◽  
Author(s):  
Ariyan Javanpeykar ◽  
Robert Kucharczyk
Keyword(s):  
Analytic Maps

scholarly journals Random iteration of analytic maps

2004 ◽  
Vol 24 (3) ◽  
pp. 659-675 ◽  
Author(s):  
A. F. BEARDON ◽  
T. K. CARNE ◽  
D. MINDA ◽  
T. W. NG
Keyword(s):  
Random Iteration ◽  
Analytic Maps

scholarly journals On the Lê-Milnor fibration for real analytic maps

2016 ◽  
Vol 290 (2-3) ◽  
pp. 382-392 ◽  
Author(s):  
Aurélio Menegon Neto ◽  
José Seade
Keyword(s):  
Milnor Fibration ◽  
Real Analytic ◽  
Analytic Maps

Homeomorphic Analytic Maps into the Maximal Ideal Space of H∞

1999 ◽  
Vol 51 (1) ◽  
pp. 147-163 ◽  
Author(s):  
Daniel Suárez
Keyword(s):  
Maximal Ideal ◽  
Maximal Ideal Space ◽  
Ideal Space ◽  
Gleason Part ◽  
Interpolating Sequences ◽  
Closed Subalgebra ◽  
Analytic Maps ◽  
The Ideal

AbstractLet m be a point of the maximal ideal space of H∞ with nontrivial Gleason part P(m). If Lm : D → P(m) is the Hoffman map, we show that H∞ ° Lm is a closed subalgebra of H∞. We characterize the points m for which Lm is a homeomorphism in terms of interpolating sequences, and we show that in this case H∞ ° Lm coincides with H∞. Also, if Im is the ideal of functions in H∞ that identically vanish on P(m), we estimate the distance of any f ϵ H∞ to Im.

Composition Operators Induced by Analytic Maps to the Polydisk

2012 ◽  
Vol 64 (6) ◽  
pp. 1329-1340 ◽  
Author(s):  
Kei Ji Izuchi ◽  
Quang Dieu Nguyen ◽  
Shûichi Ohno
Keyword(s):  
Hardy Space ◽  
Unit Disk ◽  
Bergman Space ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Analytic Maps

Abstract We study properties of composition operators induced by symbols acting from the unit disk to the polydisk. This result will be involved in the investigation of weighted composition operators on the Hardy space on the unit disk and, moreover, be concerned with composition operators acting from the Bergman space to the Hardy space on the unit disk.

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