Summer Science Research at Bryn Mawr

'Britton, Tamiyo' Archive

Introduction to Harmonic Analysis and Wavelets

Posted May 10, 2010

This summer I am working with Professor Leslie Cheng, assisting in the development of “Introduction to Harmonic Analysis and Wavelets”, a textbook that Professor Cheng and Professor Rhonda Hughes are writing for a 200-level harmonic analysis course. I also intend to prepare myself for future research in harmonic analysis.

One aspect of studying harmonic analysis involves using the Fourier series; examining a function by breaking it down into its constituent sine and cosine curves, for example. Learning this subject (which requires graduate level real analysis) will also assist me in understanding Professor Cheng’s research on “Lp Estimates for Oscillatory Integral Operators.”