Trang H. Tran, Lam Nguyen, et al.
INFORMS 2022
Wavelet reconstruction almost always reduces to the study of certain algebraic identities for polynomials. Typically, one polynomial is chosen and another is found which satisfies an identity appropriate for the desired wavelet construction. In this paper we explore one such equation and give applications of it to wavelet construction. The specific equation we study here comes to us from our recent work on iterative interpolation by exponentials. Through this equation we strive to unify several related questions concerning wavelet construction and provide in each case considered estimates for the decay of the Fourier transform of both the refinable functions and corresponding wavelets. © 1997 Academic Press.
Trang H. Tran, Lam Nguyen, et al.
INFORMS 2022
Simeon Furrer, Dirk Dahlhaus
ISIT 2005
Igor Devetak, Andreas Winter
ISIT 2003
Minghong Fang, Zifan Zhang, et al.
CCS 2024