Singular integrals and the Newton diagram

Anthony Carbery, Stephen Wainger, James Wright

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We examine several scalar oscillatory singular integrals involving a real-analytic phase function phi(s,t) of two real variables and illustrate how one can use the Newton diagram of phi to efficiently analyse these objects. We use these results to bound certain singular integral operators.

Original languageEnglish
Pages (from-to)171-194
Number of pages24
JournalCollectanea mathematica
Publication statusPublished - 2006

Keywords / Materials (for Non-textual outputs)

  • singular integrals
  • Newton diagram


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