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This text presents five theses in analysis by A.C. Gilbert, N. Saito, W. Schlag, T. Tao and C.M. Thiele. The papers cover a broad spectrum of modern harmonic analysis and provide a common theme involving intricate local Fourier decompositions of functions and operators to account for cumulative properties involving size or structure.
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This text presents five theses in analysis by A.C. Gilbert, N. Saito, W. Schlag, T. Tao and C.M. Thiele. The papers cover a broad spectrum of modern harmonic analysis and provide a common theme involving intricate local Fourier decompositions of functions and operators to account for cumulative properties involving size or structure.