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Heuristic reduction of Oscillatory to Sublevel
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Classroom Contents
Michael Christ- On Quadrilinear Implicitly Oscillatory Integrals
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- 1 Intro
- 2 Multilinear functionals and inequalities
- 3 Equivalent formulation of goal
- 4 Conjecture
- 5 Symmetry group
- 6 Main result
- 7 The trincar case is simpler
- 8 Sublevelset inequalities with variable coefficients
- 9 Main Hypothesis for Theorem
- 10 More about the Main Hypothesis
- 11 Auxiliary hypothesis for Theorem S
- 12 Some prior results
- 13 Prior results (2)
- 14 Heuristic reduction of Oscillatory to Sublevel
- 15 Analysis of local trilinear forms
- 16 Exploitation of stationary phase
- 17 Reduction to a sublevel problem
- 18 Trouble?
- 19 Conclusion
