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This book contains five theses in analysis, by A C Gilbert, N
Saito, W Schlag, T Tao and C M Thiele. It covers a broad spectrum
of modern harmonic analysis, from Littlewood-Paley theory
(wavelets) to subtle interactions of geometry and Fourier
oscillations. The common theme of the theses involves intricate
local Fourier (or multiscale) decompositions of functions and
operators to account for cumulative properties involving size or
structure.
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