Special cases of power decay in multilinear oscillatory integrals

Abstract

We use tools from the multilinear oscillatory integral program developed by Christ, Li, Thiele, and Tao to treat special cases which are not covered by existing theory. Consideration of special cases leads to an extended class of examples for which λ-power decay holds.

Keywords:

• Oscillatory integrals
• decay

2010 Mathematics Subject Classification:

• 42B10

Disclosure statement

No potential conflict of interest was reported by the author(s).