Finite Dual g-Framelet Systems Associated with an Induced Group Action

Gumber Anupam; Shukla Niraj K.

首页> 外文期刊>Complex analysis and operator theory >Finite Dual g-Framelet Systems Associated with an Induced Group Action

【24h】

Finite Dual g-Framelet Systems Associated with an Induced Group Action

机译：有限双G帧框架系统与诱导组动作相关

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 first induce an action of a topological group G on l(2)(Z(N)(d)) from a given action of G on the space C of complex numbers. Then, for each g is an element of G, we introduce a framelet system (g-framelet system or g-FS) associated with an induced action of G on l(2)(Z(N)(d)), and a super g-FS for the super-space in the same set-up. By applying the group-theoretic approach based on the complete digit set, we characterize the generators of two g-framelet systems (super g-framelet systems) such that they form a g-dual pair (super g-dual pair). As a consequence, characterizations for the Parseval g-FS and the Parseval super g-FS are obtained. Further, some properties of the frame operator corresponding to the g-FS are observed, which results in concluding that its canonical dual preserves the same structure.

机译：在本文中，首先，首先诱导从综合数字的G的给定动作对L（2）（Z（n）（d））的拓扑组g的作用。然后，对于每个G是G的元素，我们引入了与L（2）（z（n）（d））的g诱导的g诱导的动作相关的帧组织系统（g-framelet系统或g-fs），以及同一设置中超级空间的超级G-FS。通过基于完整的数字集应用组 - 理论方法，我们表征了两个G-Framelet系统的发电机（超级G-Framelet系统），使得它们形成G-Dual对（超级G-Dual对）。因此，获得了对PAREVAL G-FS和PAREVAL超级G-FS的特征。此外，观察到与G-FS对应的帧操作员的一些特性，这导致其总结其规范双重保留相同的结构。

著录项

来源
《Complex analysis and operator theory》 |2019年第7期|共29页
作者
Gumber Anupam; Shukla Niraj K.;
展开▼
作者单位

Indian Inst Technol Indore Discipline Math Indore 453552 Madhya Pradesh India;

Indian Inst Technol Indore Discipline Math Indore 453552 Madhya Pradesh India;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Wavelet system; Framelet; Dual framelet; Frame operator; Dual Gramian; Group action;

机译：小波系统;框架;双帧;框架操作员;双克明;小组行动;

相似文献

外文文献
中文文献
专利

1. Finite Dual g-Framelet Systems Associated with an Induced Group Action [J] . Gumber Anupam, Shukla Niraj K. Complex analysis and operator theory . 2019,第7期

机译：有限双G帧框架系统与诱导组动作相关
2. Neutron diffraction and finite element modeling to study the weld residual stress relaxation induced by cutting [J] . Wenchun Jiang, Wanchuck Woo, Gyu-Baek An, Materials & design . 2013,第octa期

机译：中子衍射和有限元建模研究切削引起的焊接残余应力松弛
3. "I feel your disgust and relief": can the action understanding system (mirror neuron system) be recruited to induce disgust and relief from contamination vicariously, in individuals with obsessive-compulsive disorder symptoms? [J] . Jalal Baland, Ramachandran Vilayanur S. Neurocase: case studies in neuropsychology, neuropsychiatry, and behavioural neurology . 2017,第1a2期

机译：“我觉得你的厌恶和救济”：可以招募的行动理解系统（镜子神经元系统）赋予厌恶和缓解污染物，在具有强迫症症状的个体中患者？
4. Residual Ridge Resorption in Mandibular Kennedy Class I Denture Wearers: Proposal of a Pressure-Induced Mechanism Based on a Finite Element Analysis [C] . Ana Messias, Pedro Nicolau, Fernando Guerra Mediterranean Conference on Medical and Biological Engineering and Computing . 2020

机译：下颌肯尼迪级牙本质佩戴者的剩余山脊吸收：基于有限元分析的压力诱导机制的提议
5. Finite element analysis of residual stress field induced by laser shock peening. [D] . Nam, Taeksun. 2002

机译：激光冲击喷丸引起的残余应力场的有限元分析。
6. Interaction between the oculomotor and postural systems during a dual-task: Compensatory reductions in head sway following visually-induced postural perturbations promote the production of accurate double-step saccades in standing human adults [O] . Mathieu Boulanger, Guillaume Giraudet, Jocelyn Faubert 2012

机译：双任务期间动眼系统与姿势系统之间的相互作用：视觉诱发的姿势扰动后代偿性地减少头部晃动可促进站立的成年人产生精确的双步扫视
7. A risk scoring system to prevent self-induced accidents based on the analysis of individual sensory-perceptual actions of patients admitted to the intensive care unit. [O] . Hiromi Watanabe, Akemi Akagawa, Kenya Kamoto, 1999

机译：一种风险评分系统，以防止自我诱导的事故，基于分析患者达到重症监护股的患者的个体感官感知作用。

Finite Dual g-Framelet Systems Associated with an Induced Group Action

摘要

著录项

相似文献

相关主题

期刊订阅