Global hypoellipticity and simultaneous approximability

Himonas AA.; Petronilho G.

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Global hypoellipticity and simultaneous approximability

机译：全局次椭圆性和同时逼近

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A necessary and sufficient condition is given for a sum of squares operator to be globally hypoelliptic on an N-dimensional torus. This condition is expressed in terms of Diophantine approximation properties of the coefficients. The proof of the Theorem is based on L-2-estimates and microlocalization. (C) 2000 Academic Press. [References: 17]

机译：给出了一个必要和充分的条件，以使平方和算子在N维环上整体上为椭圆。该条件用系数的丢丢番近似表示。定理的证明是基于L-2-估计和微定位。（C）2000学术出版社。 [参考：17]

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《Journal of Functional Analysis》 |2000年第2期|共10页
作者
Himonas AA.; Petronilho G.;
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正文语种 eng
中图分类数学;
关键词
Global hypoellipticity; Fourier transform; Diophantine approximations; Vector-fields; 2nd-order operators;

机译：全局下椭圆度;傅立叶变换;双美金逼近;矢量场;二阶算子;

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1. Global hypoellipticity and simultaneous approximability in ultradifferentiable classes [J] . R.F. Barostichi, I.A. Ferra, G. Petronilho Journal of Mathematical Analysis and Applications . 2017,第1期

机译：超前阶级的全球低管性和同时近似性
2. Simultaneous reduction of a family of commuting real vector fields and global hypoellipticity [J] . Gerson Petronilho Israel Journal of Mathematics . 2006,第1期

机译：同时减少通勤实矢量场族和全局次椭圆性
3. Simultaneous reduction of a family of commuting real vector fields and global hypoellipticity [J] . Petronilho G Israel Journal of Mathematics . 2006,第0期

机译：同时减少通勤实矢量场族和全局次椭圆性
4. A convex relaxation for approximate global optimization in simultaneous localization and mapping [C] . Rosen David M., DuHadway Charles, Leonard John J. IEEE International Conference on Robotics and Automation . 2015

机译：同时定位和映射中近似全局优化的凸松弛
5. Globally-consistent three-dimensional simultaneous localization and mapping with multi-sensor fusion [D] . Zhang, Peter Pifu 2007

机译：全局一致的多传感器融合三维同时定位和映射
6. Extendability of proper holomorphic mappings and global analytic hypoellipticity of the ∂̄-Neumann problem [O] . Steven R. Bell 1981

机译：N-Neumann问题的全同态映射的可扩展性和全局解析次椭圆性
7. Global Hypoellipticity and Simultaneous Approximability [O] . Himonas A.Alexandrou, Petronilho Gerson 2000

机译：全局次椭圆率和同时逼近

Global hypoellipticity and simultaneous approximability

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