一、基本信息
曹怀信，男，博士，教授、博士生导师，文山学院银龄教师。
中国数学会会员、中国工业与应用数学会员、国际量子结构学会会员，陕西省高等学校教学名师，陕西省师德先进个人，宝钢优秀教师奖、明德教师奖获得者，陕西省教育督导学会个人会员，教育部评估中心普通高等学校本科教育教学评估专家。
国家首批一流课程《复变函数》主持人、陕西省教学团队与精品资源共享课主持人，陕西师范大学教学名师、教学标兵、教书育人先进个人，曾任陕西师范大学就业创业专家咨询委员会委员、本科生教学督导委员及研究生教育督导委员、首届数学卓越教师实验班项目主任。
主要从事算子论、算子代数与量子信息方面的学术研究，主持完成国家自然科学基金项目3项，参与完成国家自然科学基金项目5项，主持完成陕西省自然科学基金项目2项。2002年以来，在《中国科学Ａ》《中国科学Ｇ》《数学学报》《物理学报》《Inf. Sci.》《Comm. Theor. Phys.》《J. Phys. A》《Math. Anal. Appl.》《Quantum Inf. Proc.》《Found. Phys.》《Acta Math. Sinica》《Chinese Sci. Bull.》及《Sci. China G》《EPL》等期刊发表研究论文130多篇。
在人才培养方面，培养研究生共计111人（硕士89人，博士14人，博士后3人，访问学者5人），其中：省青拔1人、省青年科技新星1人、省优秀博士论文获得者1名、研究生国家奖学金获得者5人。
二、教育背景
1978.01－1982.01: 陕西师范大学数字系, 学士, 数学
1985.09－1987.12: 陕西师范大学数字系, 硕士, 研究方向: 算子代数
2000.03－2003.03: 西安交通大学理学院, 博士, 研究方向: 计算智能与仿生
2013.11－2014.01: 澳大利亚拉筹伯大学访问, 研究方向: 量子神经网络与绝热量子计算
2018.11－2018.12: 台湾中山大学访问, 研究方向: 随机矩阵与随机张量
三、工作经历
1982.01－2023.09：陕西师范大学数学与统计学院任教;
2024年9月－至今: 文山学院人工智能专业银龄教师。
四、科研经历（省部级项目）
1． 2002.12—2004.12：陕西省自然科学研究计划项目《小波分析中的算子论与算子代数方法》(2002A02, 1.5万元, 主持人);
2． 2003.04－2008.12：国家自然科学基金项目《基于量子信息论的算子论与算子代数研究》(10571113, 26万元, 主持人);
3． 2009.01－2011.12：陕西省科技计划项目《量子信息理论中的算子结构》（2010.01－2011.12，2万元，主持人）、参与完成国家自然科学基金项目《量子计算和量子信息中的算子论和算子代数方法》(28万元，第二人);
4． 2014.01－2017.12：主持国家自然科学基金资助项目《量子态分类与量子绝热逼近中的算子论方法》(11371012，62万元, 主持人);
5． 2016.01－2019.12：国家自然科学基金资助项目《PT-对称量子系统的基础理论研究》(39万元，第二人);
6． 2018.01－2022.12：国家自然科学基金资助项目《神经网络量子态的构建及其量子关联性研究》（11871318，54万元， 主持人）。
五、教学项目（省部级）
1． 主持教育部国家级首批一流本科课程《复变函数》（2020.11，10万元）;
2． 主持2015年陕西省教学团队《分析学》;
3． 主持2014年陕西省精品资源共享课《复变函数论》;
4． 主持2008年陕西省精品课程《复变函数论》。
六、科研获奖
1． 《算子谱论和算子代数》，1993年被认定为国家科技成果，第二完成人;
2． 《泛函分析中若干问题的研究》，2011年5月获陕西高等学校科学技术奖(一等), 证书编号：11-024，主持人;
3． 《泛函分析中若干问题的研究》，2012年2月获陕西省科学技术奖(三等), 证书编号：2011-3-099-R1，主持人;
4． 《基于算子理论的量子信息理论研究》，2017年4月获陕西高等学校科学技术奖(二等)，主持人;
5． 《关于经验模型互文性的定量研究》，14级博士生孟会贤学位论文，2019年获陕西省优秀博士论文奖，指导教师。
七、教学获奖
1． 《加强分析学系列课程建设，培养名师优课》，2020年获陕西省高等教育教学成果二等奖，主持人，陕西省人民政府;
2． 第十届陕西省高等学校教学名师，2016.06，陕西省教育厅;
3． 陕西省师德先进个人，2016.09，陕西省教育厅、陕西省教育工会委员会;
4． 明德教师奖，2016.06，中国国际文化交流中心、基金会;
5． 宝钢优秀教师奖，2010.11，宝钢教育基金会;
6． 陕西高等学校优秀共产党员，2009.06，中共陕西省委教育工作委员会。
八、编写教材
1． 曹怀信，张建华，陈峥立，郭志华,《An Introduction to Complex Analysis》，科学出版社，2019.02，普通高等教育“十三五”规划教材;
2． 曹怀信，张建华，陈峥立，郭志华,《实变函数与泛函分析》，科学出版社，2017.08普通高等教育“十三五”规划教材;
3． 曹怀信，郭志华编著，《小波分析基础》, 科学出版社，2016.04;
4． 曹怀信(主编)，张建华，陈峥立，魏广生, 郭志华,《泛函分析引论》，陕西师范大学出版总社有限公司，2006（一）、2014（二）;
5． 曹怀信(主编)，张建华，陈峥立，任芳，《An Introduction to Complex Analysis》，陕西师范大学出版总社有限公司，2006.08（一版）、2013.01（二版）;
6． 曹怀信(总主编)，高俊勇(主编)，《高等数学》(上、下册)，吉林大学出版社，2009;
7． 曹怀信(主编)，吴保卫、张建华、张永锋、胡洪平、陈峥立、周焕芹，《实变函数引论》(第二版)，陕西师范大学出版社，2008.2、2010.12;
8． 朱永庚、申启阳、戴文惠、李志毅、曹怀信，《数学分析》（上、下册），陕西师范大学出版社， 1989。
六、发表学术论文
[1] K. F. Hu, Z. H. Guo, H. X. Cao and L. Lu，Quantum nonlocality of density operators and their corresponding density matrices, EPL, 2024, 148: 38002.
[2] 韩看远, 郭志华, 曹怀信*, 汤卫东，利用弱Hardy型悖论与Hardy-Bell不等式检验Bell非局域性，中国科学: 物理学 力学 天文学, 2024. 54(7): 270311.
[3] Huai-Xin Cao, Hong-Yi Chen, Zhi-Hua Guo, Tsung-Lin Lee, Ngai-Ching Wong, Convex decompositions of Q-stochastic tensors and Bell locality in a multipartite system, Adv. Oper. Theory, 2024, 9: 19.
[4] Kanyuan Han, Wenqian Zhu, Zhihua Guo* and Huaixin Cao*, Hardy-Bell inequalities and fault-tolerant Hardy paradoxes, Phys. Scr., 2024, 99: 015104.
[5] Shu Xiao, Huaixin Cao, Zhihua Guo, Kanyuan Han, Characterizations of bilocality and n-locality of correlation tensors, Quant. Inform. Process., 2023, 22: 382.
[6] Y. Chen, S. Xiao, K. Han, Z. Guo and H. Cao, Continuous and discrete local hidden variable theories are equivalent, Inform. Sciences, 2023, 647: 119440.
[7] Huai-Xin Cao, Hong-Yi Chen, Zhi-Hua Guo, and Tsung-Lin Lee, The convex decomposition of row-stochastic matrices, Ann. Math. Sci. Appl., 2023, 8(2): 289-306.
[8] 杨莹, 曹怀信, 量子混合态的两种神经网络表示, 物理学报, 2023, 72: 110301.
[9] Xiao S., Guo Z. H., Cao H. X., Han K. Y., Yang Y., Nonlocality of star-shaped correlation tensors based on the architecture of a general multi-star-network, Mathematics, 2023, 11: 1625.
[10] Wen-Qian Zhu, Di Hu, Zhi-Hua Guo, Huai-Xin Cao, Bell bi-Inequalities for Bell local correlation tensors, Int. J. Theor. Phys., 2023, 62: 68.
[11] Xiao, S., Cao, H. X.; Guo Z. H., Han K. Y., Two types of trilocality of probability and correlation tensors, Entropy, 2023, 25: 273(1-27).
[12] Ma X.S., Bai L.H., Guo Z.H. Cao H.X. Characterizing Bell nonlocality and EPR steerability with quantum magic squares, Quantum Inf. Process., 2022, 21: 281.
[13] Cheng-Yang Zhang, Pu Wang, Li-Hua Bai, Zhi-Hua Guo*, and Huai-Xin Cao*, Channel- based coherence of quantum states, Int. J. Quantum Inf.，2022, 2250014: 1-23.
[14] Ying Yang, Huaixin Cao, Digraph states and their neural network representations, Chin. Phys. B, 2022, 31: 060303.
[15] Pu Wang, Zhihua Guo*, and Huaixin Cao*, Quantum incoherence based simultaneously on k bases. Entropy, 2022, 24: 659.
[16] Lihua Bai, Shu Xiao, Zhihua Guo*, and Huaixin Cao*, Decompositions of n-partite nonsignaling correlation-type tensors with applications, Front. Phys., 2022, 10: 864452.
[17] Ying Yang, Shu Xiao and Huaixin Cao，Nonlocality of a type of multi-star-shaped quantum networks, J. Phys. A: Math. Theor., 55 (2022) 025303 (29pp).
[18] Xiao S., Bai L. H., Guo Z. H., Cao H. X., Quantum channels transforming Bell local states as unsteerable states, Quantum Engineering, 2021; 3: e74.
[19] Ying Yang and Huaixin Cao, Representations of hypergraph states with neural networks, Commun. Theor. Phys., 2021,73:105103.
[20] Huaixin Cao, Chengyang Zhang, Zhihua Guo, Some measurement-based characterizations of separability of bipartite states, Int. J. Theor. Phys., 2021, 60: 2558-2572.
[21] Mohamed Ismael Ali, Huaixin Cao, Partial steerability and nonlocality of multipartite quantum states, Int. J. Theor. Phys., 2021, 60: 2543-2557.
[22] Yuxing Du, Zhihua Guo, Huaixin Cao, Kanyuan Han, Chuan Yang, Masking quantum information encoded in pure and mixed states, Int. J. Theor. Phys., 2021, 60: 2380-2399.
[23] QiaoWei Zhang, Zhihua Guo, Huaixin Cao, Mathematically proving Bell nonlocality motivated by the GHZ argument, IEEE Access, 2021, 9: 39550-3559.
[24] Chuan Yang, Zhihua Guo, Chengyang Zhang, and Huaixin Cao, Broadcasting coherence via incoherent operations, Linear & Multilinear Algebra, 2022, 70(21): 6469-6477.
[25] K. Y. Han, Z. H. Guo, H. X. Cao, Y. X. Du and C. Yang, Quantum multipartite maskers v.s. quantum error-correcting codes, EPL, 2020, 131: 30005.
[26] 余雪晴, 肖书, 曹怀信, POVM测量组合的联合可测性及其应用, 中国科学: 物理学 力学 天文学, 2020, 50: 070001.
[27] Chengyang Zhang, Zhihua Guo and Huaixin Cao, Symmetry-like relation of relative entropy measure of quantum coherence, Entropy, 2020, 22: 297.
[28] Z.Z. Dong, Y. Yang, and H.X. Cao, Detecting Bell nonlocality based on the Hardy paradox, Int. J. Theor. Phys., 2020, 59, 1644-1656.
[29] Y. Yang, H. X. Cao, and Z. J. Zhang, Neural network representations of quantum many-body states, Sci. China-Phys. Mech. Astron., 2020, 63: 210312.
[30] Ying Yang, Huai-Xin Cao, Hui-Xian Meng, Robustness of ʌ-entanglement of multipartite states, Quantum Inf. Pross., 2019, 18: 360.
[31] 黄永峰, 曹怀信, 王文华，共轭线性对称性及其对PT-对称量子理论的应用，物理学报，2020, 69(3): 030301.
[32] Ying Yang, Chengyang Zhang and Huaixin Cao, Approximating ground states by neural network quantum states, Entropy, 2019, 21: 82.
[33] Zhihua Guo, Huaixin Cao, Creating quantum correlation from coherence via incoherent quantum operations, J. Phys. A: Math. Theor., 2019, 52: 265301.
[34] 刘洁，杨莹，肖书，曹怀信，三体量子系统中AB→C导引的探测,中国科学: 物理学 力学 天文学, 2019, 49: 120301.
[35] 黄永峰, 曹怀信，王文华，伪自伴量子系统的酉演化与绝热定理, 数学学报，2019，62(3): 469-478.
[36] 肖书, 郭志华, 曹怀信，三体量子系统的量子导引方案，中国科学: 物理学 力学 天文学, 2019，49: 010301.
[37] Cao H. X., Guo Z. H., Characterizing Bell nonlocality and EPR steering, Sci. China-Phys. Mech. Astron., March., 2019, 62: 030311.
[38] Chunming Zheng, Zhihua Guo, Huaixin Cao, Generalized steering robustness of quantum states, Int. J. Theor. Phys., 2018, 57: 1787-1801.
[39] Wang W. H., Cao H. X., Chen Z. L., et al., Quantitative conditions for time evolution in terms of the von Neumann equation, Sci. China-Phys. Mech. Astron., 2018, 61: 070312.
[40] Zi-Wei Li, Zhi-Hua Guo, Huai-Xin Cao, Some characterizations of EPR steering, Int. J. Theor. Phys., 2018, 57: 3285-3295.
[41] Ying Yang, Huaixin Cao, Einstein-Podolsky-Rosen steering inequalities and applications, Entropy, 2018, 20: 683.
[42] Ying Yang, Huaixin Cao, Separability criterions of multipartite states, Europ. Phys. J. D, 2018, 72: 143.
[43] Ying Yang, Huai-Xin Cao, Liang Chen, Yongfeng Huang, Λ-Nonlocality of multipartite states and the related nonlocality inequalities, Int. J. Theor. Phys., 2018, 57: 1498-1515
[44] 杨莹, 曹怀信, 构造纠缠目击的一般方法, 物理学报, 2018, 67: 070303
[45] Meng Hui-xian, Cao Huai-xin,Wang Wen-hua, Fan Ya-jing, Chen Liang, A more efficient contextuality distillation protocol, Int. J. Theor. Phys., 2018, 57: 792-803.
[46] H. X. Cao, von Neumann measurement-related matrices, Sci. China-Phys. Mech. Astron., 2017, 60(2): 020332.
[47] J. Li, H. X. Cao, A new generalization of von Neumann relative entropy, Int. J. Theor. Phys., 2017, 56: 3405-3424.
[48] Liang Chen, Huixian Meng, Huaixin Cao, Yongfeng Huang, Ying Yang, A note on markovian quantum dynamics, ANZIAM J., 2017, 58(3-4): 436-445.
[49] Meng Hui-xian, Cao Huai-xin, Wang Wen-hua, Ya-jing Fan, Liang Chen, Quantifying contextuality of empirical models in terms of trace-distance, Int. J. Theor. Phys., 2017, 56: 1807-1830.
[50] Qian Feng, Zhihua Guo, Huai-Xin Cao, Witness for non-quasi maximally entangled states, Int. J. Theor. Phys., 2016, 55(12): 5202-5215.
[51] Huixian Meng, Huaixin Cao, Wenhua Wang, Yajing Fan and Liang Chen, Generalized robustness of contextuality, Entropy, 2016, 18(9): 297 (19pp).
[52] Yajing Fan, Huaixin Cao, Quantifying correlations via the Wigner-Yanase-Dyson skew information, Int. J. Theor. Phys., 2016, 55: 3833-3858.
[53] Yajing Fan, Huaixin Cao, Huixian Meng, Liang Chen, An uncertainty relation in terms of generalized metric adjusted skew information and correlation measure, Quantum Inf. Process., 2016, 15: 5089- 5106.
[54] Zhihua Guo, Huaixin Cao and Shixian Qu, Robustness of quantum correlations against linear noise, J. Phys. A: Math. Theor., 2016, 49: 195301 (22pp).
[55] H. X. Meng, H. X. Cao, W. H. Wang, L. Chen, and Y. J. Fan, Continuity of the robustness of contextuality of empirical models, Sci. China-Phys. Mech. Astron., 2016, 59(10): 100311.
[56] H. X. Meng, H. X. Cao and W. H. Wang, The robustness of contextuality and the contextuality cost of empirical models, Sci. China-Phys. Mech. Astron., 2016, 59(4): 640303.
[57] Ya-Jing Fan, Huai-Xin Cao, Monotonicity of the unified quantum (r, s)-entropy and (r, s)-mutual information,Quantum Inf. Procss., 2015, 14(12): 4537-4555.
[58] Liang Chen, Huai-Xin Cao, Hui-Xian Meng, Generalized duality quantum computers acting on mixed states, Quantum Inf. Process., 2015, 14(11): 4351-4360.
[59] Qian Li, Huaixin Cao, Hongke Du, A generalization of Schrödinger’s uncertainty relation described by the Wigner-Yanase skew information, Quantum Inf. Process., 2015, 14(4): 1513–1522.
[60] Huai-Xin Cao, Zheng-Li Chen, Li Li, Bao-Min Yu, An applicable approximation method and its application,Acta Math. Sci., 2015, 35B(5): 1189-1202.
[61] Zhihua Guo, Huaixin Cao, Shixian Qu, Structures of three types of local quantum channels based on quantum correlations, Found. Phys., 2015, 45: 355-369.
[62] ZhiHua Guo, HuaiXin Cao, ShiXian Qu，Existence and construction of simultaneous cloning machines for mixed states, Sci. China-Phys., Mech. Astron., 2015, 58(4): 040302(1-5).
[63] Wenhua Wang, Huaixin Cao, Ling Lu, Baomin Yu, An upper bound for the generalized adiabatic approximation error with a superposition initial state, Sci. China -Phys., Mech. Astron., 2015, 58(3): 030001.
[64] 吴国昌, 曹怀信, 鲁大勇，波包Parseval框架的刻画及应用, 数学学报, 2015, 58(1): 91-102.
[65] Huaixin Cao, Dianhui Wang, Feilong Cao, An adiabatic quantum algorithm and its application to DNA motif model discovery, Inform. Sciences, 2015, 296: 275-281.
[66] Guo Z. H., Cao H. X., Qu S. X., Partial correlations in multipartite quantum systems, Inform. Sciences, 2014, 289: 262-272.
[67] 杨莹, 曹怀信, 李静, 两类可观测量的Bell不等式, 数学学报, 2014, 57(3): 473-484.
[68] Huaixin Cao, Juncheng Yin, Zhihua Guo, Zhengli Chen, Local Lipschitz-α mappings and applications to sublinear expectations, Acta Math. Sinica (English Series), 2014, 30(5): 844-860.
[69] Wu Guochang(博士后), Li Dengfeng, Huaixin Cao, Necessary conditions and sufficient conditions of the wave packet frames in L^2(R^n), Bull. Malays. Math. Sci. Soc., 2014, 37(4): 1123-1136.
[70] Guo Zhihua, Cao Huaixin, Lu Ling, Adiabatic approximation in PT-symmetric quantum mechanics, Sci. China-Phys. Mech. Astron., 2014, 57(10): 1835-1839.
[71] Yu BaoMin(访问学者), Cao HuaiXin, Guo ZhiHua, Wang WenHua, Computable upper bounds for the adiabatic approximation errors, Sci. China-Phys. Mech. Astron., 2014, 57(11): 2031-2038.
[72] Wang WenHua(博士生), Guo ZhiHua，Cao HuaiXin, An upper bound for the adiabatic approximation error, Sci. China-Phys. Mech. Astron., 2014, 57(2): 218-224.
[73] Wang WenHua, Cao HuaiXin, Guo ZhiHua, Yu Bao-Min, Separability of solutions to a Schrodinger equation,Commun. Theor. Phys., 2014, 62 (2): 205-209.
[74] 曹怀信, 郭志华, 陈峥立, 张坤利, 效应代数的表示理论, 中国科学A, 2013, 43(8): 835-846.
[75] Wu Guochang(博士后), Huaixin Cao, Some characterizations of the wave packet frames in higher dimensions, Applied Mechanics and Materials, 2013, 427-429: 1528-1531.
[76] Huai-Xin Cao, Zhi-Hua Guo, Zheng-Li Chen, CPT-Frames for non-Hermitian Hamiltonians, Commun. Theor. Phys., 2013, 60: 328-334.
[77] 张坤利, 曹怀信, 郭志华, 效应代数上态的存在性, 数学学报, 2013, 56(3): 301-310.
[78] Wen-Hua Wang(博士生), Huai-Xin Cao, An improved multiparty quantum secret sharing with Bell states and Bell measurement, Int. J. Theor. Phys., 2013, 52: 2099-2111.
[79] Huai-Xin Cao, Zhi-Hua Guo, Zheng-Li Chen, Wen-Hua Wang, Quantitative sufficient conditions for adiabatic approximation, Sci. China-Phys. Mech. Astron., 2013, 56(7): 1401-1407.
[80] Huaixin Cao, Guilu Long, Zhihua Guo, Zhengli Chen, Mathematical theory of generalized duality quantum computers acting on vector-states, Int. J. Theor. Phys., 2013, 52: 1751-1767.
[81] Zhihua Guo(博士生) and Huaixin Cao, Local quantum channels preserving classical correlations, J. Phys. A: Math. Theor., 2013, 46: 065303 (11pp).
[82] Zhihua Guo(博士生), Huaixin Cao, A classification of correlations of tripartite mixed states, Int. J. Theor. Phys., 2013, 52:1768-1779.
[83] H. X. Cao, Z. L. Chen, Z. H. Guo, F. G. Ren, Complex duality quantum computers acting on pure and mixed states, Sci. China-Phys. Mech. Astron., 2012, 55(12): 2452-2462.
[84] Zhihua Guo(博士生), Huaixin Cao, Zhengli Chen, Distinguishing classical correlations from quantum correlations, J. Phys. A: Math. Theor., 2012, 45: 145301 (15pp).
[85] Zhihua Guo(博士生), Huaixin Cao, Existence and construction of a quantum channel with given inputs and outputs, Chinese Sci. Bull., 2012, 57(33):4346-4350.
[86] Hongbing Meng, Huai-xin Cao, τ-Expectations and τ-variances of elements of a unital C*-algebra, Chinese J. Eng. Math., 2012, 29(1): 154-158.
[87] 银俊成, 曹怀信, C*-代数上完全正映射的刻画, 应用数学, 2012, 25(2): 357-362.
[88] 曹怀信, 陈峥立, 郭志华, 张巧卫, 效应代数的表示, 中国科学A, 2011, 41(3): 279-286.
[89] 张邺, 曹怀信, 郭志华, 有限维张量积空间上的强可分算子, 数学学报, 2011, 54(6): 959-972.
[90] Guo Z. H., Cao H. X., Chen Z. L., Yin Jun-Cheng, Operational properties and matrix representations of quantum measures, Chinese Sci. Bull., 2011, 56(16): 1671-1678.
[91] Zhi Hua Guo, Huai Xin Cao, Jun Cheng Yin, Stability of (p,Y)-operator frames, J. Math. Res. & Exp., 2011, 31(3): 535-544.
[92] 常敏慧，吕纪荣，曹怀信，向量值α次熵映射及熵方程的Hyers-Ulam稳定性，应用泛函分析学报，2011, 13(2): 188-194.
[93] Ji-Rong Lv, Huai-Xin Cao, J. M. Rassias, Pointwise superstability and superstability of the Jordan equation, Functional Equations, Difference Inequalities and Ulam Stability Notions, Edited by John M. Rassias, Nova Science Publishers, Inc., 2010: 85-94
[94] Zhang Y., Cao H. X., Li L., Realization of allowable generalized quantum gates, Sci. China-Phys., Mech. Astron., 2010, 53(10): 1878-1883.
[95] Cao H. X., Li L., Chen Z. L., Zhang Y. and Guo Z. H., Restricted allowable generalized quantum gates, Chinese Sci. Bull., 2010, 55(20): 2122-2125.
[96] Lu Xu, Huai-Xin Cao, Wen-Ting Zheng and Zhen-Xia Gao, Super-stability and stability of the exponential equations, J. Math. Ineq., 2010, 4(1): 37-44.
[97] 孔亮, 曹怀信, ε-近似保正交映射的稳定性与扰动, 数学学报, 2010, 53(1): 61-66.
[98] 张邺, 曹怀信, Hilbert空间中有效序列的刻画与扰动, 数学学报, 2010, 53(2): 209-218.
[99] Chen Zheng-li, Cao Huai-xin, Du Hong-ke, Some properties of quantum probability, 工程数学学报, 2010, 27(1): 168-172.
[100] Qingjiang Chen, Baocang Liu, Huaixin Cao, Construction of a sort of multiple pseudoframes for subspaces with filter banks, Chaos, Solitons & Fractals, 2009, 42(2): 801-808.
[101] Qingjiang Chen, Huaixin Cao, Zhi Shi, Construction and decomposition of biorthogonal vector-valued wavelets with compact support, Chaos, Solitons & Fractals, 2009, 42(5): 2765-2778.
[102] Qingjiang Chen, Huaixin Cao, Zhi Shi, Construction and characterizations of orthogonal vector-valued multivariate wavelet packets, Chaos, Solitons & Fractals, 2009, 40(4): 1835-1844.
[103] Qingjiang Chen, Huaixin Cao, Zhi Shi, Design and characterizations of a class of orthogonal multiple vector-valued wavelets with 4-scale, Chaos, Solitons & Fractals, 2009, 41(1): 91-102.
[104] Qingjiang Chen, Zhi Shi, Huaixin Cao, The characterization of a class of subspace pseudoframes with arbitrary real number translations, Chaos, Solitons & Fractals, 2009, 42(5): 2696-2706.
[105] Huai-Xin Cao, Ji-Rong Lv, and J. M. Rassias, Superstability for Generalized Module Left Derivations and Generalized Module Derivations on a Banach Module (I), J. Ineq. Appl., vol. 2009, Article ID 718020, 10 pages.
[106] Huai-Xin Cao, Ji-Rong Lv, and J. M. Rassias, Superstability for generalized module left derivations and generalized module derivations on a Banach module (II), J. Inequal. Pure and Appl. Math., 2009, 10(2), Art. 85, 8 pp.
[107] Zheng-Li Chen, Huai-Xin Cao. A note on the extreme points of positive quantum operations, Int. J. Theor. Phys., 2009, 48: 1669-1671.
[108] 陈峥立, 曹怀信, 关于Hilbert空间量子效应下确界的研究, 计算机工程与应用, 2009, 45(28)：10-12.
[109] 李莉, 曹怀信, 银俊成, Toffoli门及相位估计的分解, 计算机工程与应用, 2009, 45(36): 26-28.
[110] 高振霞, 曹怀信, 近似代数同态的稳定性, 数学学报, 2009, 52(5): 981-988.
[111] 陆玲, 曹怀信, 陈峥立, 银俊成，效应代数上态射的注记, 数学学报, 2009, 52(5): 958-960.
[112] Zhen-Xia Gao, Huai-Xin Cao, Wen-Ting Zheng and Lu Xu, Generalized Hyers Ulam Rassias stability of functional inequalities and functional equations, J. Math. Ineq., 2009, 3(1): 63–77.
[113] Huai-Xin Cao, Lan Li, Qing-Jiang Chen, Guo-Xing Ji, (p,Y)-Operator frames for a Banach space, J. Math. Anal. Appl., 2008, 347: 583–591.
[114] 曹怀信, 陈峥立, Riesz函数演算的Lipschitz性质, 数学学报, 2007, 50(2): 319-324.
[115] Denghua Zhang, Huaixin Cao, Stability of functional equations in several variables, Acta Math. Sinica, 2007, 23(2): 321-326.
[116] Huai-Xin Cao; Bao-Min Yu, Orthogonal Wavelet Vectors in a Hilbert Space, Wavelet Analysis and Applications, Tao Qian, Mang I. Vai and Xu Yuesheng, Eds, in the Springer book series “Applied and Numerical Harmonic Analysis”, 2006, 59-66.
[117] Chun-Yan Li; Huai-Xin Cao, Operator frames for B(H), Wavelet Analysis and Applications, Tao Qian, Mang I. Vai and Xu Yuesheng, Eds, in the Springer book series “Applied and Numerical Harmonic Analysis”, 2006, 67-82.
[118] Huai-Xin Cao, Jian-Hua Zhang and Zong-Ben Xu, Characterizations and extensions of Lipschitz-αoperators, Acta Math. Sinica, 2006, 22(3): 671-678.
[119] Denghua Zhang, Huaixin Cao, Stability of group and ring homomorphisms, Math. Ineq. & Appl., 2006, 9(3): 521-528.
[120] Zhang Jian-Hua, Wu Bao-Wei, Cao Huai-Xin, Lie triple derivations of nest algebras, Linear Alg. Appl., 2006, 416(2-3): 559-567.
[121] 李春艳,曹怀信, Banach空间中的Xd框架与Riesz基, 数学学报, 2006, 49(6): 1361-1366.
[122] 张建华, 吴保卫, 曹怀信, von Neumann 代数中套子代数上的Lie同构，数学学报，2006，49（2）：301-310.
[123] 曹怀信, 徐宗本，非交换 Lipschitz-φ算子代数, 数学学报, 2004, 47(3): 433-440.
[124] 张建华，曹怀信，套子代数上线性映射的Lie不变子空间，数学学报，2004, 47(1): 119-124.
[125] 曹怀信, 徐宗本, Lipschitz算子的M-谱, 数学学报, 2003, 46(6): 1073-1078.
[126] Huai-Xin Cao, Von Neumann-Jordan constants of absolute normalized norms on C^n, Acta Math. Sinica, 2003, 19(3): 507-512.
[127] Fang-Guo Ren, Hong-Ke Du, Huai-Xin Cao, The intersection of the spectra of operator completions, Linear Alg. Appl., 2003, 371(1): 103-191.
[128] Wei Ye, Zong-Ben Xu, Huai-Xin Cao and Jian-Hua Zhang, A characterization of stability of discrete Hopfield neural networks, Nihonkai Math. J., 2003, 14(2): 99-112.
[129] Huai-Xin Cao, Zong-Ben Xu, Jian-Hua Zhang, Wei-Hua Li, Matrix-traces on C*-algebra Mn(A), Linear Alg. Appl., 2002，345(1-3): 255-260.
[130] 曹怀信, 徐宗本, Lipschitz-α算子的若干性质, 数学学报, 2002, 45(2): 279-286.
