Mathematics Of Multilevel Systems: Data, Scaling, Images, Signals, And Fractals: 8

Palle E T Jorgensen is a Professor of Mathematics at the University of Iowa. He has held faculty positions at Stanford University, and at the University of Pennsylvania. Jorgensen’s recent distinction involved giving 10 lectures for the Conference Board of the Mathematical Sciences that are published as Harmonic Analysis: Smooth and Non-smooth in 2018.

Myung-Sin Song is a Professor of Mathematics at Southern Illinois University Edwardsville. Her dissertation was on connecting wavelet image compression with Cuntz–Krieger Algebra. She worked on functional and harmonic analysis of wavelets, the application of wavelet transform on image processing, using computer programming language, and the connection of the engineering of image processing, using wavelet transform and the mathematics of it. Her more recent work is on fractal analysis and its application in image processing, Karhunen–Loeve transform (principal component analysis) and spectral theory, lifting scheme, sampling theory and quantization, reproducing kernel Hilbert space and dimension reduction using kernel PCA in machine learning.