저널 기사

**Jae Kun Lim, Ph.D. (임재근)**

**Contact Information: **

Address: Department of Applied Mathematics,

Phone Number: +82-31-670-5343.

E-mail address: j a e k u n ( a t ) h k n u ( d o t ) a c ( d o t ) k r

**Curriculum Vitae:**

B.Sc. in Math.: Department of Math.,

M.Sc. in Math.: Department of

Ph.D. in Math.: Department of

Post Doc.:

Research Assistant Professor: Center for High-Performance Integrated Systems,

Full-Time Lecturer (the lowest rank in the Korean tenure-track professorship at that time): Division of Math.,

Assistant Professor: Department of Applied Mathematics,

Visiting Faculty:

Associate Professor: Department of Applied Mathematics,

Professor: Department of Applied Mathematics,

**Research Interests: **Characterizations of wavelets, the theory of shift-invariant spaces and the theory of abstract 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,

(5) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Characterizations of birothgonal wavelets which are associated

(6) Young-Doo Kim, Jae Kun Lim, Chang-Ho Suh, Eui-Rim Jeong, Yong H. Lee, 송신 다이버시티 시스템에서의 반송파 주파수

(7) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Semi-orthogonal frame wavelets and frame multi-resolution analyses,

(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,

(10) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Quasi-biorthogonal frame multiresolution analyses and wavelets,

(11) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Local analysis of frame multiresolution analysis with a general dilation matrix,

(12) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, On the spectrums of frame multiresolution analyses,

(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

(15) Young-Doo Kim, Jae Kun Lim, Chang-Ho Suh, Yong H. Lee, Designing training sequences for carrier frequency estimation

(16) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Characterization of the closedness of the sum of two shift-invariant spaces,

(17) Ole Christensen, Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Riesz sequences of translates and generalized duals

(18) Yoo Young Koo, Jae Kun Lim, Perturbation of frame sequences and its applications to shift-invariant spaces,

(19) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Zuowei Shen, A pair of orthogonal frames,

(20) Yoo Young Koo, Jae Kun Lim, In-Sook Shin, Finite orthogonal frames generated by normal operators,

(21) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, Internal structure of the multiresolution analyses defined by the unitary

(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.

(24) Hong Oh Kim, Rae Young Kim, Jae Kun Lim, New look at the constructions of multiwavelet frames, Bull. Korean Math. Soc. 47 (2010) 563-573.

(25) Yoo Young Koo, Jae Kun Lim, Schatten-class operators and frames, Quaest. Math. 34 (2011) 203 - 211.

(26) Hyeongseok Kim, Yoo Young Koo, Jae Kun Lim, Applications of parameterizations of oblique duals of a frame sequence, Numer. Funct. Anal. Optim. 34(8) (2013) 896-913.

(27) Yoo Young Koo, Jae Kun Lim, Sum and direct sum of frame sequences, Linear Multilinear Algebra 61 (2013) 856-870.

(28) Yoo Young Koo, Jae Kun Lim, Existence of Parseval oblique duals of a frame sequence, J. Math. Anal. Appl. 404 (2013) 470-476.

(29) Yoo Young Koo, Jae Kun Lim, Extension of Bessel sequences to oblique dual frame sequences and the minimal projection, Electron. J. Linear Algebra 30 (2015) 51 - 65.

(30) Yoo Young Koo, Jae Kun Lim, Angle $R$, Bull. Malays. Math. Sci. Soc. 38 (2015) 1177 - 1812.

**Conferen****ce Proceedings**

(1) Hong Oh Kim, Jae Kun Lim, Applications of shift-invariant space theory to some problems of multi-resolution analysis

(2) Young-Doo Kim, Jae Kun Lim, Chang-Ho Suh, Eui-Rim Jeong, Yong H. Lee, Carrier frequency estimation for transmissions

(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) Yoo Young Koo, Jae Kun Lim, Sum of disjoint frame sequences, 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 (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 (Father Brown Series), Ross MacDonald (Lew Archer Series), Sue Townsend (Adrian Mole Series), Genichiro Takahashi (Elegant and Sentimental Japanese Baseball), Tomihiko Morimi (Kyoto series (which surely horrifies any English-Japanese translator)) and, finally, Seok-Je Seong (So Said Hwang Man-Keun) (in no particular order). I also like thrillers (Frederick Forsyth) and mysteries (especially Japanese).

Listening to Music: 80's pop music (the Pet Shop Boys, the New Order, and the Smiths); opera (La Boheme (Karajan, Pavarotii, Freni), Le Nozze di Figaro ((father) Kleiber, Siepi, Gueden), and Rigoletto (Bonynge, Sutherland, Pavarotti))

Upon a long session of self-analysis, I was rather shocked to find out that my favourite bassist was (not Jaco Pastorius, not Chris Squire, not Steve Harris, but) John Taylor of the Duran Duran (the cutest one was non-arguably Tina Waymouth of the Talking Heads), and my favourite guitarist was Gary Kemp of the Spandau Ballet. For several years I thought I was a rock fan, but it turned out that I was merely a humble fan of the 80's pop music.

**I**** **

have a presonal library containg approximately 2000 books (excluding math textbooks) and a personal LP/CD collection of roughly 1000 items (mostly harmless, often useless and sometimes helpless) (Yes, I am also a fan of Douglas Adams (may rest in peace));

more or less exactly failed to be, mentally and financially, an audiophile (I wish I had a Mark-Levinson and a Tannoy Westminster (within a large sound-proof, wife-proof and kid-proof (if possible, thermo-nuclear-weapon-proof) listening room)).