A COMBINATORIAL APPROACH TO THE OPPOSITE BI-FREE PARTIAL S-TRANSFORM

被引：3
|
作者：
Skoufranis, Paul [1 ]
机构：
[1] York Univ, Dept Math & Stat, 4700 Keele St, Toronto, ON M3J 1P3, Canada
来源：
OPERATORS AND MATRICES | 2018年 / 12卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Bi-free probability; partial bi-free S-transform; bi-free convolutions; COMMUTING RANDOM-VARIABLES; NON-CROSSING PARTITIONS; FREE PROBABILITY; MULTIPLICATIVE FUNCTIONS; FREE CONVOLUTION; PAIRS;
D O I：
10.7153/oam-2018-12-22
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present a combinatorial approach to the opposite 2-variable bi-free partial S-transforms where the opposite multiplication is used on the right. In addition, extensions of this partial S-transforms to the conditional bi-free and operator-valued bi-free settings are discussed.
引用
收藏
页码：333 / 355
页数：23
相关论文
共 50 条
  • [21] A NEW APPROACH FOR IDENTIFICATION OF HOT SPOTS IN PROTEINS USING S-TRANSFORM FILTERING
    Sahu, Sitanshu Sekhar
    Panda, Ganapati
    2009 IEEE INTERNATIONAL WORKSHOP ON GENOMIC SIGNAL PROCESSING AND STATISTICS (GENSIPS 2009), 2009, : 5 - 8
  • [22] Multi-Resolution Generalized S-Transform Denoising for Precise Localization of Partial Discharge in Substations
    Wang, Shudong
    He, Yigang
    Yin, Baiqiang
    Zeng, Wenbo
    Li, Cong
    Ning, Shuguang
    IEEE SENSORS JOURNAL, 2021, 21 (04) : 4966 - 4980
  • [23] Feature extraction of GIS partial discharge signal based on S-transform and singular value decomposition
    Dai, Dangdang
    Wang, Xianpei
    Long, Jiachuan
    Tian, Meng
    Zhu, Guowei
    Zhang, Jieming
    IET SCIENCE MEASUREMENT & TECHNOLOGY, 2017, 11 (02) : 186 - 193
  • [24] Power transformer protection using S-transform with complex window and pattern recognition approach
    Samantaray, S. R.
    Panigrahi, B. K.
    Dash, P. K.
    Panda, G.
    IET GENERATION TRANSMISSION & DISTRIBUTION, 2007, 1 (02) : 278 - 286
  • [25] Denoising of Electrocardiogram Signal Using S-Transform Based Time–Frequency Filtering Approach
    Ankita Mishra
    Sitanshu Sekhar Sahu
    Rajeev Sharma
    Sudhansu Kumar Mishra
    Arabian Journal for Science and Engineering, 2021, 46 : 9515 - 9525
  • [26] An effective approach to structural damage localization in flexural members based on generalized S-transform
    Tehrani, H. Amini
    Bakhshi, A.
    Akhavat, M.
    SCIENTIA IRANICA, 2019, 26 (06) : 3125 - 3139
  • [27] An Approach to Classify Transient Disturbances with Incomplete S-transform and Morlet Wavelet Spectral Kurtosis
    Li Wenhui
    Liu Zhigang
    2015 5TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND TECHNOLOGY (ICIST), 2015, : 249 - 253
  • [28] Effective Voltage Flicker Detection Approach Based on a New Modified S-Transform Algorithm
    Huang Yong-hong
    Xu Jun-jun
    Shi Hui
    Zhang Yun-shuai
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 4747 - 4752
  • [29] S-transform approach for detecting the single-phase fault feeder in distribution network
    Faculty of Electric Power Engineering, Kunming University of Science and Technology, Kunming 650051, China
    不详
    Gaodianya Jishu, 2009, 12 (2963-2969): : 2963 - 2969
  • [30] A rule-based S-Transform and AdaBoost based approach for power quality assessment
    Reddy, Motakatla Venkateswara
    Sodhi, Ranjana
    ELECTRIC POWER SYSTEMS RESEARCH, 2016, 134 : 66 - 79
12345