Resolvent estimates on symmetric spaces of noncompact type

Koichi Kaizuka

首页> 外文期刊>Journal of the Mathematical Society of Japan >Resolvent estimates on symmetric spaces of noncompact type

【24h】

Resolvent estimates on symmetric spaces of noncompact type

机译：非紧实型对称空间的溶剂估计

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this article we prove resolvent estimates for the Laplace-Beltrami operator or more general elliptic Fourier multipliers on symmetric spaces of noncompact type. Then the Kato theory implies time-global smoothing estimates for corresponding dispersive equations, especially the Schrodinger evolution equation. For low-frequency estimates, a pseudo-dimension appears as an upper bound of the order of elliptic Fourier multipliers. A key of the proof is to show a weighted L~2-continuity of the modified Radon transform and fractional integral operators.

机译：在本文中，我们证明了非紧型对称空间上Laplace-Beltrami算子或更广义的椭圆傅立叶乘法器的解析估计。然后，加藤理论对相应的色散方程，特别是薛定inger演化方程，进行了时全局平滑估计。对于低频估计，伪维显示为椭圆傅里叶乘数阶的上限。证明的关键是显示改进的Radon变换和分数积分算子的加权L〜2连续性。

著录项

来源
《Journal of the Mathematical Society of Japan》 |2014年第3期|895-926|共32页
作者
Koichi Kaizuka;
展开▼
作者单位

Graduate School of Pure and Applied Sciences University of Tsukuba Tsukuba 305-8571, Japan Research Organization of Science and Technology Ritsumeikan University Shiga 525-8577, Japan;

展开▼
收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
resolvent; symmetric space; dispersive equation; smoothing effect; limiting absorption principle;

机译：决心对称空间色散方程平滑效果;极限吸收原理;

相似文献

外文文献
中文文献
专利

1. Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type [J] . Mazzeo R, Vasy A Journal of Functional Analysis . 2005,第2期

机译：非紧型对称空间上拉普拉斯算子的解析连续
2. Analytic continuation of resolvent kernels on noncompact symmetric spaces [J] . Alexander Strohmaier Mathematische Zeitschrift . 2005,第2期

机译：非紧对称空间上解析核的解析连续
3. Analytic continuation of resolvent kernels on noncompact symmetric spaces [J] . Strohmaier A Mathematische Zeitschrift . 2005,第2期

机译：非紧对称空间上解析核的解析连续
4. Paley-Wiener-Schwartz nearly Parseval frames on noncompact symmetric spaces [C] . Isaac Z. Pesenson AMS Special Session on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations . 2013

机译：Paley-Wiener-Schwartz几乎是非兼容对称空间的帧
5. Discrete Isometry Groups of Symmetric Spaces of Noncompact Type [D] . ?Dey, Subhadip 2020

机译：非紧型对称空间的离散等距群
6. Lp-multipliers for Noncompact Symmetric Spaces [O] . J. L. Clerc, E. M. Stein 1974

机译：非紧对称空间的Lp乘数
7. Resolvent estimates on symmetric spaces of noncompact type (Problems in Semiclassical Analysis) [O] . 貝塚公一 2011

机译：非紧实型对称空间的溶剂估计（半经典分析中的问题）
8. Point Spectrum of the Dirac Operator on Noncompact Symmetric Spaces [R] . Goette, S., Semmelmann, U. 1999

机译：非紧对称空间上Dirac算子的点谱

Resolvent estimates on symmetric spaces of noncompact type

摘要

著录项

相似文献

相关主题

期刊订阅