English

Uniform estimates for oscillatory integrals with smooth phase

Classical Analysis and ODEs 2021-11-09 v1

Abstract

We consider the problem on uniform estimates for an oscillatory integrals with the smooth phase functions having singularities DD_{\infty} . The estimate is sharp and analogy to estimates of the work of V.N.Karpushkin.

Cite

@article{arxiv.2111.03747,
  title  = {Uniform estimates for oscillatory integrals with smooth phase},
  author = {Ikromov Isroil Akramovich and Safarov Akbar Raxmanovich},
  journal= {arXiv preprint arXiv:2111.03747},
  year   = {2021}
}

Comments

8 pages, in Russian

R2 v1 2026-06-24T07:28:29.617Z