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.
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