Liu Bie Ju Centre for Mathematical Sciences
City University of Hong Kong
Mathematical Analysis and its Applications
Colloquium

Organized by Prof. Ya Yan LU and Prof. Wei Wei SUN

Adaptive Fourier Decomposition

by

Professor Tao Qian
University of Macau, Macau, China

Date: Mar 08, 2011 (Tuesday)
Time:4:30 pm to 5:30 pm
Venue: Room B6605 (College Conference Room)
Blue Zone, Level 6, Academic Building
City University of Hong Kong

ABSTRACT: For a given function in the L2 or the Hardy space H2, one can achieve fast decompositions in energy into series of basic functions of which each has non-negative analytic phase derivative, or, alternatively, instantaneous frequency. The talk will compare several types of such decompositions together with their algorithms. The key words include Nevanlinna decomposition, Hilbert transform, Takenaka-Malmguist system, Cauchy-wavelet, Best approximation by rational functions of order less than n, greedy algorithm (matching pursuit).

** All interested are welcome **

For enquiry: 3442-9816