Uniform Estimates for Oscillatory Integrals and Volumes with the Varchenko Phase |
| |
Authors: | Karpushkin V. N. |
| |
Affiliation: | (1) Institute for Problems in Information Transmission, Russian Academy of Sciences, Moscow |
| |
Abstract: | We obtain uniform estimates for oscillatory integrals and volumes with a perturbed Varchenko phase, which follow from the statements of general theorems (the case of an arbitrary perturbation). The estimates turn out to be nearly exact. We also derive exact estimates by an argument similar to the proofs of general theorems (the case of a partial perturbation). |
| |
Keywords: | oscillatory integral uniform estimate Varchenko phase perturbation |
本文献已被 SpringerLink 等数据库收录! |