Eigenvalue Problem of Anti-Wick (Toeplitz) Operators in Bargmann-Fock Space and Applications to Daubechies Operators (Wavelet analysis and signal processing)

Abstract

In this paper we will consider algebraic background of Gabor analysis and eingenvalue problem of anti-Wick (Toeplitz) operators in Bargmann-Fock space. We will clarify the relationship between anti-Wick (Toeplitz) operators and Daubechie (localization) operators. We apply our results to eingenvalue problem of Daubechie operators.