Cowen-Douglas function and its application on chaos

2017/12/09 by Lvlin Luo, Luo, Lvlin
Mathematics · #30J99 #37B99 #46L05 #47A65 #47A67 #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1712.03348

openalex publication_date 2017/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, on \mathbbD we define Cowen-Douglas function introduced by Cowen-Douglas operator M_ϕ^* on Hardy space H²(\mathbbD) and we give a sufficient condition for Cowen-Douglas function, where ϕ\inH^∞(\mathbbD). Moreover, we give some applications of Cowen-Douglas function on chaos, such as application on the inverse chaos problem for ϕ(T), where ϕ is a Cowen-Douglas function and T is the backward shift operator on L²(ℕ).

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