임경수 교수

Bio

He received the B.S. degree from Korea University (KU), Korea in 1990, the MS and Ph.D. degree in harmonic analysis of mathematics from Korea Advanced Institute of Science and Technology (KAIST), Korea in 1992 and 1996, respectively.

He is a full professor in the department of mathematics at Sogang University in Seoul, Korea and served as the Chair of Mathematics Department from 2013-15, the Dean of Administrations Affairs from 2015-17, and the Dean of Academic Affairs from 2017-18, and the Dean of Interdisciplinary Basic Education from 2017-18.

His recent research interests focus on the probabilistic machine intelligence related to the Koopman operator of dynamical systems including the continuity of convolution and compositions between function spaces.

Teaching

I am teaching two mathematical theory of undergraduate, one mathematical machine learning of graduate, and one MATLAB experiment course this coming semester. Please sign up for courses on the University website. If you have any specific questions about course topics, feel free to message my office, and I will respond as soon as possible.

Contact: ksrim@sogang.ac.kr · Office: +82-2-705-8420

Research

Below, you’ll find my writing organized by publication type and year. For questions on any specific publication, feel free to message my office, and a teaching staff member will respond as soon as possible.

Articles

• Non-parametric inference by the entropy minimization, (2023) preprint.
• A poly approximation algorithm for implicit functions, (2022) preprint.
• Non-Bayesian Neural Networks, (2021) preprint. arXiv
• Multivariate Bernstein inequalities for entire functions of exponential type in L- p(R-n) (0 < p < 1), Jour. Ineq. and Appl. 215, (2019) 1-16.
• A weighted Fourier series with signed good kernels, Comm. Korean. Math. Soc., (2017).
• Gibbs phenomenon for Fourier partial sums on Z_p, J. Math. Anal. Appl, (2015).
• A Weighted OFDM Signal Scheme for Peak-to-Average Power Ratio Reduction of OFDM Signals (with Shin, Kim) IEEE Trans.on Vehicular Technology (2013).
• Local edge detectors using a sigmoidal transformation for piecewise smooth data (with yoon), Applied Mathematics Letters 26 (2013) 270–276.
• Stability of localized integral operators on weighted L p spaces (with, Sun, Shin), Numer. Func. Anal. Optim.,7-9 (2012), 1,166-1,193.
• Fractional integrals over a function of finite type on the intersection spaces (with J. Nah), Jour. Math. Anal. Appl. 387(2) (2012) 1209-1218.
• Gibbs phenomenon removal by adding Heaviside functions (with Yoon), Adv. Comp. Math., (2011) 1-17.
• Norm inequalities for the conjugate operator in two-weighted Lebesgue spaces (with J. Lee), Jour. Inequl. Appl. 2011:117 (22 November 2011).
• Estimates of M-harmonic conjugate operator (with J. Lee), Jour. Ineq. Appl. 2010:435450 (30 March 2010).
• Construction of Lanczos type filters for the Fourier series approximation (with B. I. Yun), Appl. Numer. Math. 59(2009), 280-300.
• Nonuniform sampling of bandlimited functions (with C. E. Shin, M. B. Lee), IEEE Trans. Inform. Theory 54(2008), no. 8, 3814-3819.
• An algorithm to determine a dipole current in a sphere (with B. I. Yun, S. Y. Choung), Math. Methods in the Applied Science 30(2007), 1105–1119.
• Estimates of weighted Hardy-Littlewood averages on the p-adic vector space (with J. Lee), J. Math. Anal. Appl. 324(2006), 272-284.
• An averageing method for the Fourier approximation to discontinuous functions (with B. I. Yun), Applied Math. and Comp. 183(2006), 272-284.
• Uniqueness of non-harmonic series under a weaker growth condition Integral Transform and Special Functions (with S. Y. Choung), 17(2006), 27-30.
• Green functions on the p-adic vector space (with J. W. Son), Comm. Kor. Math. Soc. 20(2005).
• Properties of symmetric matrices (with J. Lee), Jour. Math. Anal. and Appl. 305(2005), 219-226.
• Estimates of Marcinkiewicz integrals with bounded homogeneous kernels of degree zero (with J. Lee), Integral equations and operator theory 48(2004), 213-223.
• Properties for M-harmonoc conjugate operator (with J. Lee), Canadian Math. Bull. 46(2003), 113-121.
• Mapping properties of the Marcinkiewicz integrals on homogeneous groups (with Y. Choe), Jour. Kor. Math. Soc. 39(2002), 61-75.
• Marcinkiewicz integral operators on product domains, Math. Proc. Cambridge Philos. Soc. 132(2002), 523-530.
• Weighted norm inequalities for pluriharmonic conjugate functions (with J. Lee), Jour. Math. Anal. and Appl. 268(2002), 707-717.
• Maximal functions over hypersurfaces with flat points, Jour. Math.Anal. and Appl. 260(2001), 70-82.
• Marcinkiewicz integrals with rough kernels on L p, Jour. Math. Anal. and Appl. 232(1999), 347-358.
• Weighted norm inequalities for M-harmonic conjugate functions (with U. J. Choi), Complex Variables Theory and Appl. 34(1997), 437-444.
• Fractional derivatives of Bloch functions, Growth rate, and interpolation (with B. R. Choe), Acta Math. Hung. 72(1996), 67-86.

Recent Research Funds

• 2023.7 ~ 2030.12 OLED 디스플레이용 산화물 TFT 절연막 패턴 형성을 위한 150이하의 저온난화지수를 지니는 F기반 PFC 대체가스 개발 (산업기술평가관리원)
• 2017.9–2021.8 주가지표 분석을 위한 비균질 은닉 마르코프 모형의 수리적 연구 및 응용 (중견연구자과정, 연구재단)
• 2018.3.1–2021.6 과학교사 및 예비 과학교사 재교육 프로그램을 통한 캄보디아 과학기술 인력 (개도국지원사업, 연구재단)

Contact: ksrim@sogang.ac.kr · Office: +82-2-705-8420

Office Hours

Fall 2023 office hours are Monday (9:00~10:30, 17:10~17:40), Wednesday (9:00~10:30, 17:10~17:40), Tuesday (13:00~15:00), and Thursdays (13:00~15:00). Please email or request specific times with the form on SAINT.