The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.

About the Author
Carlos E. Kenig, University of Chicago, IL, Fang Hua Lin, New York University, Courant Institute, NY, Svitlana Mayboroda, University of Minnesota, Minneapolis, MN, and Tatiana Toro, University of Washington, Seattle, WA


Book Information
ISBN 9781470461270
Author Carlos E. Kenig
Format Hardback
Page Count 345
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 850g