当前位置:
X-MOL 学术
›
Lobachevskii J. Math.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Recovery of the Operator $$\boldsymbol{\Delta}_{\boldsymbol{B}}$$ from Its Incomplete Fourier–Bessel Image
Lobachevskii Journal of Mathematics Pub Date : 2020-07-27 , DOI: 10.1134/s1995080220050108 M. V. Polovinkina
中文翻译:
从不完整的傅立叶–贝塞尔映像中恢复算子$$ \ boldsymbol {\ Delta} _ {\ boldsymbol {B}} $$
更新日期:2020-07-27
Lobachevskii Journal of Mathematics Pub Date : 2020-07-27 , DOI: 10.1134/s1995080220050108 M. V. Polovinkina
Abstract
In this paper we consider optimal recovery of the B-elliptic operator with its powers of a smooth function from the Fourier–Bessel transform given on some convex subset. We construct a series of optimal recovery methods. It turns out that information about the Fourier–Bessel transform outside of some ball with the center at zero is superfluous, optimal methods do not use it. The methods themselves differ in the way they process available information.中文翻译:
从不完整的傅立叶–贝塞尔映像中恢复算子$$ \ boldsymbol {\ Delta} _ {\ boldsymbol {B}} $$