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Matematicheskie Zametki, 2002, Volume 72, Issue 5, Pages 688–692
DOI: https://doi.org/10.4213/mzm457 (Mi mzm457) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Uniform Estimates for Oscillatory Integrals and Volumes with the Varchenko Phase

V. N. Karpushkin

Institute for Information Transmission Problems, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm457
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).
Received: 25.05.2001
English version:
Mathematical Notes, 2002, Volume 72, Issue 5, Pages 636–640
DOI: https://doi.org/10.1023/A:1021452805001
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. N. Karpushkin, “Uniform Estimates for Oscillatory Integrals and Volumes with the Varchenko Phase”, Mat. Zametki, 72:5 (2002), 688–692; Math. Notes, 72:5 (2002), 636–640
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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