Articles

• 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