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harmonic analysis
Harmonic analysis
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A
Add and subtract something nearby that is simpler
F
Fourier transforms front page
H
How to use the method of stationary phase to control oscillatory integrals
I
If your problem can be expressed in terms of convolutions and inner products then take the Fourier transform
L
Linearize the phase
T
The van der Corput lemma for equidistribution
The van der Corput lemma for oscillatory integrals
U
Use Fourier identities
Use integration by parts to exploit cancellation
W
When controlling an oscillatory integral, bump functions and bounded phase corrections are not very important
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