A class of iterative greedy algorithms related to Blaschke product

• Published in: Science China. Mathematics Vol. 64; no. 12; pp. 2703 - 2718
• Main Authors: Qian, Tao, Tan, Lihui, Chen, Jiecheng
• Format: Journal Article
• Language: English
• Published: Beijing Science China Press 01.12.2021; Springer Nature B.V
• Subjects: Algorithms; Applications of Mathematics; Complex variables; Decomposition; Frequency analysis; Geometric transformation; Greedy algorithms; Iterative methods; Mathematical analysis; Mathematics; Mathematics and Statistics; Winding; 42C10; complex Hardy space; Takenaka-Malmquist system; 30B50; mono-component; unwinding Blaschke expansion; 30A10; 65T99; Blaschke product; adaptive Fourier decomposition; Möbius transform; rational orthogonal system

Möbius transforms, Blaschke products and starlike functions as typical conformal mappings of one complex variable give rise to nonlinear phases with non-negative phase derivatives with the latter being defined by instantaneous frequencies of signals they represent. The positive analytic phase deriva...