Wavelet Characterization of the Bergman Space on Strip Domains

摘要

Our aim is to obtain conditions for the extension of a function f is an element of L-2 (R) to be an entire function on the complex plane or to be an analytic function on strip domains in terms of the wavelet coefficients. Our results are a new characterization of the Bergman space on strip domains and an improvement on the paper [5] "A.I. Zayed and G. G. Walter, Characterization of analytic functions in terms of their wavelet coefficients, Complex Variables Theory Appl. 29 (1996), 265-276.".