首页> 外文会议>International Symposium on Symbolic and Numeric Algorithms for Scientific Computing >Lax-Like Stability for the Discretization of Pseudodifferential Operators through Gabor Multipliers and Spline-Type Spaces
【24h】

Lax-Like Stability for the Discretization of Pseudodifferential Operators through Gabor Multipliers and Spline-Type Spaces

机译:通过Gabor乘数和样条类型空间离散化伪微分算子的Lax型稳定性

获取原文

摘要

In this paper we study the stability of projection schemes for pseudodifferential operators defined over a locally compact Abelian (LCA) group G unto a space of generalized Gabor multipliers (GGM), also called time-frequency multipliers. The projection is reformulated as a projection of the symbol operator into the spline-type (ST) space generated by the Rihaczek distributions that characterize the selected space of multipliers and the related subgroup of the time-frequency space G × Ĝ. The symplectic nature of the time-frequency group is avoided, hence a constructive realizable algorithm can be performed on the LCA group G × Ĝ. Stability is defined as uniform boundedness of a sequence of projections induced by an automorphism over the group G. We will describe the automorphisms that generate a sequence of GGM spaces and the ones that characterize stability.
机译:在本文中,我们研究了在局部紧致的Abelian(LCA)群G上定义的伪微分算子投影方案在广义Gabor乘数(GGM)(也称为时频乘数)空间中的稳定性。将该投影重新构造为符号运算符到由Rihaczek分布生成的样条类型(ST)空间的投影,该空间表征乘数的选定空间和时频空间G×the的相关子组。避免了时频组的辛性,因此可以对LCA组G×performed进行构造性的可实现算法。稳定性定义为在G组上由同构引起的一系列投影的一致有界性。我们将描述产生一系列GGM空间的自同构和表征稳定性的那些同构。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号