Homepage of Jae Kun Lim, Ph.D.

 

 

            

                                                 

 

 

   Contact Information:

    Address: Department of Applied Mathematics, Hankyong National University, 67 Seokjeong-dong, Anseong-si, Gyeonggi-do (456-749), Republic of Korea.

    Phone Number: +82-31-670-5343.

    E-mail address: jaekun (at) hknu (dot) ac (dot) kr

 

    Curriculum Vitae:

    B.Sc. in Math.: Department of Math., Yonsei University, Seoul, Korea, 1991.2.

    M.Sc. in Math.: Department of Math., Korea Advanced Institute of Science and Technology, 1993.2.

    Ph.D. in Math.: Department of Math., Korea Advanced Institute of Science and Technology, 1998.8.

    Post Doc.: Basic Science Center, Korea Advanced Institute of Science and Technology, 1998.8 - 2000.2.

    Research Assistant Professor: Center for High-Performance Integrated Systems, Korea Advanced Institute of Science and Technology, 2000.3 - 2003.2.

    Full-Time Lecturer: Division of Math., Mokpo National University, 2003.3 - 2004.8.

    Assistant Professor: Department of Applied Mathematics, Hankyong National University, 2004.8 - 2008.9

    Visiting Faculty: School of Mathematics, Georgia Institute of Technology, 2008.1 - 2008.12.

    Associate Professor: Department of Applied Mathematics, Hankyong National University, 2008.10 - Present

 

 

   Research Interests: Wavelet analysis, theory of shift-invariant spaces and theory of frames.

 

 

   Publication:

 

    Journal Papers

    

(1) Hong Oh Kim, Jae Kun Lim, New characterizations of Riesz bases, Appl. Comput. Harmon. Anal. 4 (1997), 222-229.

(2) Jae Kun Lim, Neumann series expansion of the inverse of a frame operator, Comm. Korean Math. Soc. 13 (1998), 791-800.

(3) Hong Oh Kim, Jae Kun Lim, Frame multiresolution analysis, Comm. Korean Math. Soc. 15 (2000), 285-308.

(4) Hong Oh Kim, Jae Kun Lim, On frame wavelets associated with frame mulitresolution analysis, Appl. Comput. Harmon. Anal. 10 (2001), 61-70.

 
(5) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Characterizations of birothgonal wavelets which are associated with biorthogonal multiresolution analyses, Appl. Comput. Harmon. Anal. 11 (2001), 263-272.

    

(6) Young-Doo Kim, Jae Kun Lim, Chang-Ho Suh, Eui-Rim Jeong, Yong H. Lee, 송신 다이버시티 시스템에서의 반송파 주파수 오차 추정 알고리즘 (in Korean), Telecommunicatons Review 12 (2002), 233-244.  

   

(7) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Semi-orthogonal frame wavelets and frame multi-resolution analyses, Bull. Austral. Math. Soc. 65 (2002), 35-44.

 

(8) Jae Kun Lim, Gramian analysis of multivariate frame multiresolution analyses, Bull. Austral. Math. Soc. 66 (2002), 291-300.

 

(9) Hong Oh Kim, Rae Young Kim, Yong Hoon Lee, Jae Kun Lim, On Riesz wavelets associated with multiresolution analyses, Appl. Comput. Harmon. Anal. 13 (2002), 138-150.

 

(10) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Quasi-biorthogonal frame multiresolution analyses and wavelets, Adv. Comput. Math. (Special Issue: Frames) 18 (2003), 269-296.

 

(11) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Local analysis of frame multiresolution analysis with a general dilation matrix, Bull. Austral. Math. Soc. 67 (2003), 285-295.

 

(12) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, On the spectrums of frame multiresolution analyses, J. Math. Anal. Appl. 305 (2005), 528-545.

 

(13) Ole Christensen, Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Perturbation of frame sequences in shift-invariant spaces,  J. Geom. Anal. 15 (2005), 181-192.

 

(14) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, The infimum cosine angle between two finitely generated shift-invariant spaces and its applications, Appl. Comput. Harmon. Anal. 19 (2005), 253-281.

 

(15) Young-Doo Kim, Jae Kun Lim, Chang-Ho Suh, Yong H. Lee, Designing training sequences for carrier frequency estimation in frequency-selective channels, IEEE Transactions on Vehicular Technology 55 No. 1 January (2006) 151-157.

 

(16) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Characterization of the closedness of the sum of two shift-invariant spaces, J. Math. Anal. Appl. 320 (2006), 381-395.

 

 (17) Ole Christensen, Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Riesz sequences of translates and generalized duals with support on $[0,1]$, J. Geom. Anal. 16 (2006), 585-596.

 

(18) Yoo Young Koo, Jae Kun Lim, Perturbation of frame sequences and its applications to shift-invariant spaces, Linear Algebra Appl. 420 (2007), 295-309.

 

(19) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Zuowei Shen, A pair of orthogonal frames, J. Approx. Theory 147 (2007), 196-204.

 

(20) Yoo Young Koo, Jae Kun Lim, In-Sook Shin, Finite orthogonal frames generated by normal operators, Linear Multilinear Algebra 56 (2008), 345-356.

 

(21) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Internal structure of the multiresolution analyses defined by the unitary extension principle, J. Approx. Theory 154 (2008),  140-160.

 

(22) Christopher Heil, Yoo Young Koo, Jae Kun Lim, Duals of frame sequences, Acta Appl. Math. (Special Issue: Applied Harmonic Analysis: Wavelets and Sampling) 107 (2009) 75-90.

 

(23) Shannon Bishop, Christopher Heil, Yoo Young Koo, Jae Kun Lim, Invariances of frame sequences under perturbations, Linear Algebra Appl. 432 (2010) 1501-1514.

 

 

 

    Refereed Conference Proceedings

 

 

(1) Hong Oh Kim, Jae Kun Lim, Applications of shift-invariant space theory to some problems of multi-resolution analysis of $L^2({\mathbb R}^d)$, in "Wavelet Analysis and Applications," D. Deng, D. Huang, R.-Q. Jia, W. Lin, J. Wang, Eds., pp. 183-191, AMS/IP Studies in Advanced Mathematics 25, American Mathematical Society/International Press, Cambridge, MA, 2002.

 

(2) Young-Doo Kim, Jae Kun Lim, Chang-Ho Suh, Eui-Rim Jeong, Yong H. Lee, Carrier frequency estimation for transmissions with antenna diversity, IEEE 55th Vehicular Technology Conference (VTC Spring 2002), vol. 3, 1569-1573.

 

 (3) Shannon Bishop, Chisopher Heil, Yoo Young Koo, and Jae Kun Lim, Duals and invariances of frame sequences, in: "Wavelets XIII" (San Diego, CA, 2009), Proc. SPIE Vol. 7446, V. Goyal et al., eds., SPIE, Bellingham, WA (2009), 74460K1--74460K8.

 

 

 

     Preprints:

 

 

(1) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, New look at the constructions of multiwavelet frames, to appear in Bull. Korean Math. Soc.

 

(2) Hyeongseok Kim, Yoo Young Koo, Jae Kun Lim, Sum of a frame sequence and one of its duals, submitted.

 

(3) Yoo Young Koo, Jae Kun Lim, Characterization of Schatten-class operators by frames, submitted.

 

If you need my reprints and/or preprints, please e-mail me.

 

 

 

 

    Lifetime Hobbies

 

Reading Novels: A partial and evergrowing list of my favourite writers: Joseph Heller (Catch-22), Kurt Vonnegut (Sirens of Titan), Fyodor Dostoevskii (The Brothers of Karamazov), Jorge Luis Borges (Fictions), Harper Lee (To Kill a Mocking Bird), Joseph Conrad (Lord Jim), Kingsly Amis (Lucky Jim), G.K. Chesterton (The Father Brown Series), Ross MacDonald (The Lew Archer Series), Sue Townsend (Adrian Mole Series), Genichiro Takahashi (Elegant and Sentimental Japanese Baseball) and, finally, Seok-Je Seong (So Said Hwang Man-Geun) (in no particular order).

 

Listening to Music: 70's rock music (including The Led Zeppelin and The King Crimson), 80's pop music (including The Pet Shop Boys and The Smiths) and opera (including La Boheme (the Karajan, Pavarotii, Freni CD), Le Nozze di Figaro (the (father) Kleiber, Siepi, Gueden CD), and The Fantom of the Opera (I know, I know. It's a musical)).

 

 

 

 

    I am

 

the owner of a presonal library containg approximately 1000 books and of a personal LP/CD collection of roughly 500 items (mostly harmless, often useless, and sometimes helpless) (Yes, I am also a fan of Douglas Adams);

more or less exactly failed to be, mentally and financially, an audiophile (a part of my stereo system consists of a decade old Aura VA50 and Celestion 5 Mk II).