کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590245 1334942 2014 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An operator van der Corput estimate arising from oscillatory Riemann–Hilbert problems
ترجمه فارسی عنوان
برآورد اپراتور ون کروپیت برگرفته از مشکلات نوسانی ریمانا هیلبرت
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We study an operator analogue of the classical problem of finding the rate of decay of an oscillatory integral on the real line. This particular problem arose in the analysis of oscillatory Riemann–Hilbert problems associated with partial differential equations in the Ablowitz–Kaup–Newell–Segur hierarchy, but is interesting in its own right as a question in harmonic analysis and oscillatory integrals. As was the case in earlier work of the first author [9], the approach is general and purely real-variable. The resulting estimates we achieve are strongly uniform as a function of the phase and can simultaneously accommodate phases with low regularity (as low as C1,αC1,α), local singularities, and essentially arbitrary sets of stationary points that degenerate to finite or infinite order.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 267, Issue 12, 15 December 2014, Pages 4775–4805
نویسندگان
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