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Hongoh Kim
Division of General Studies

Chair Professor / Division of General Studies, UNIST, Ulsan, Korea

Professor

    • Name: Hongoh, Kim, Ph.D.
    • Chair Professor
    • Division of General Studies, UNIST, Ulsan, Korea
    • UNIST (Ulsan National Institute of Science and Technology)
    • Ulsan 44919, Republic of Korea
    • E-mail: hkim2031@unist.ac.kr
    • Tel: +82-52-217-2031

Education

  • 1998 - 2002 : 1696 이학사 경북대학교 수학교육과
  • 1996 - 1998 1971 이학석사(수학) 경북대학교 대학원
  • 1992 - 1996 :1979 M.A.(수학) Univ. of Wisconsin-Madison
  • 1982 Ph.D.(수학) Univ. of Wisconsin-Madison

Career

    • 1971 - 1974 군복무(육군)
    • 1975 - 1984 경북대학교 전임강사, 조교수
    • 1984 - 1987 한국과학기술원조교수
    • 1987 - 1992 한국과학기술원 부교수
    • 1989 - 1990 위스콘신 대학교 방문 교수
    • 1992 - 2010 한국과학기술원 정교수
    • 2010 - 현재 한국과학기술원 명예교수
    • 1990 - 1992 한국과학기술원 수학 과학과장
    • 1993 - 1995 한국과학재단 연구심의위원
    • 1994 - 1995 한국과학기술원 학사계획위원
    • 1995 - 1997 장기 발전기획단 분원담당 위원
    • 1995 - 1997 한국과학기술원 자연과학부 학부장 및 자연과학연구소장
    • 1996 - 1997 한국 고등 과학원 설립 수리분과위원
    • 1997 - 1999 교육부 교과 과정 심의 위원
    • 1998.7 ’98 국제수학올림피아드 한국대표단 단장
    • 1999 - 2001 한국과학기술원 학사 연구 심의위원
    • 2000 - 2006 한국과학기술원 자연과학대학, 학사심의위원, 교원인사심의위원, 연구소운영위원 등

Academic & Volunteer Activities

    • 대한 수학회무임소 이사(1986-1988) , 재무이사(1988-1990), 편집이사(1995-1996), 부회장(1997-1998)
    • 대한수학회지 편집위원(1988-1996)
    • 대한수학회논문집 편집위원장(1986-1988, 1995-1996)
    • 경북수학저널 편집 위원(1990-현재)
    • Sampling Theory in Signal and Image Processing 편집위원 (2005.09.-현재)
    • Journal of Wavelet Theory and Applications 편집위원 (2007-현재)
    • Current Development in Theory and Applications of Wavelets 편집위원 (2007-현재)
    • 미국수학회 (American Mathematical Society) Math. Reviewer (2006-현재)
    • 한국과학기술한림원 정회원(2005-현재)

Awards

    • 과학기술처 대학원 연구장려금 1969-1971
    • 풀브라이트 장학생 1977-1982
    • 대한수학회 학술상 1993.10.
    • 대한수학회 교육상 2010.4.

research

research

patents

(1) Exponential polynomial reproducing property of non-stationary subdivision schemes and normalized B-splines, Adv. Comput. Math.38(2013), no. 3, 647-666 (with B. Jeong, Y.J. Lee and J. Yoon)

(2) Compactly supported multiwindow dual Gabor frames of rational sampling density, Adv. Comput. Math.38(2013), no. 1, 159-186 (with S. Jang and B. Jeong)

(3) Extensions of Bessel sequences to dual pairs of frames, Appl. Comput. Harmon. Anal. 34(2013), no. 2, 224-233 (with O. Christensen and R.Y. Kim)

(4) Gabor window supported on [-1,1] and dual windows with small support, Adv. Comput. Math. 36(2012), no. 4, 525-545 (with O. Christensen and R.Y. Kim)

(5) On the duality principle by Casazzam Kutyniok, and Lammers, J. Fourier Anal. Appl. 17(2011), no. 4, 640-655 (with O. Christensen and R.Y. Kim)

(6) New look at the constructions of multiwavelet frames, Bull. KMS 47(2010), no. 3, 563-573 (with R.Y. Kim and J.K. Lim)

(7) Pseudo-Butterworth re¯nable functions, Current Development in Theory and Applications of Wavelets 4(2010), no. 1, 1-38 (with R.Y. Kim and S.S. Kim)

(8) Quasi-interpolatory re¯nable functions and construction of biorthogonal wavelet systems, Adv. Comput. Math. 33(2010), no. 3, 255-283 (with R.Y. Kim, Y.J. Lee and J. Yoon)

(9) Holomorphic solutions to functional di®erential equations, J. Math. Anal. Appl. 368 (2010), 350-357 (with B. van Brunt and G. Derfel)

(10) Gabor windows supported on [¡1 1] and compactly supported dual windows, Appl. Com-put. Harmon. Anal. 28 (2010), 89-103 (with O. Christensen and R.Y. Kim)

(11) Internal structure of the multiresolution analyses de¯ned by the Unitary Extension Princi-ple, J. Approximation Theory 154 (2008), 140-160. (with R.Y. Kim and J.K. Lim)

(12) Sobolev exponents of Butterworth re¯nable functions, Appl. Math. Letters 21 (2008), No.5, 510-515 (with R.Y. Kim)

(13) Another look at average formulas of Nevanlinna counting functions of holomorphic self-maps of the unit disk, Kyungpook Math. J. 48 (2008), 155-163.

(14) Construction of symmetric tight wavelet frames from quasi-interpolatory subdivision masks and their applications, Int. J. Wavelets Multiresolut. Inf. Process. 6 (2008), no. 1, 97-120. (with B. Jeong and M. Choi)

(15) An algorithm for constructing symmetric dual ¯lters, J. KSIAM 11 (2007), no. 3, 21-28. (with R.Y. Kim and J.S. Ku)

(16) A pair of orthogonal frames, J. Approximation Theory 147 (2007), no. 2, 196-204 (with R.Y. Kim, J.K. Lim, Z. Shen)

(17) On asymptotic behavior of Battle-Lemarie scaling functions and wavelets, Appl. Math. Letters 20 (2007), 376-381 (with R.Y. Kim and J.S. Ku)

(18) Singular inner functions whose Frostman shifts are Carleson-Newman Blaschke products II, Complex Variables and Elliptic Equations 52 (2007), no. 5, 425-437 (with K. Izuchi)

(19) Riesz sequences of translates generalized duals with support on [0,1], Journal of Geometric Analysis 16 (2006), no. 4, 585-596 (with O. Christensen, R.Y. Kim, and J.K. Lim)

(20) Re¯nable functions from Blaschke products, Rendiconti di Matematica, Serie VII 26 (2006), 267-290 (with M. Cotronei, M.L. Lo Cascio, C.A. Micchelli, T. Sauer)

(21) Characterization of the closedness of the sum of two shift-invariant spaces, J. Math. Anal. Appl. 320 (2006), 381-395 (with R.Y. Kim and J.K. Lim)

(22) The in¯mum cosine angle between two ¯nitely generated shift-invariant spaces and its ap-plications, Appl. Comput. Harmon. Anal. 19 (2005), no. 2, 253-281 (with R.Y. Kim and J.K. Lim)

(23) Wavelet Frames from Butterworth Filters, Sampl. Theory Signal Image Process. 4 (2005), no. 3, 231-250 (with R.Y. Kim and J.S. Ku)

(24) Perturbation of frame sequences in shift-invariant spaces, J. Geom. Anal. 15 (2005), no.2, 181-192 (with O. Christensen, R.Y. Kim and J.K. Lim)

(25) On the spectrums of frame multiresolution analyses. J. Math. Anal. Appl. 305 (2005), no.2, 528-545 (with R.Y. Kim and J.K. Lim)

(26) Fusion of Multispectral and Panchromatic Satellite Images Using the Curvelet Transform, IEEE Geoscience and Remote Sensing Letters, 2, (2005) no. 2, 136-140 (with M.J. Choi, R.Y. Kim and M.R. Nam)

(27) Averages of Nevanlinna counting functions of holomorphic self-maps of the unit disk. Hokkaido Math. J. 33 (2004), no. 3, 697-706

(28) Collision detection algorithm of a continuous type using spherical extreme vertex diagrams. Comput. Math. Appl. 47 (2004), no. 8-9, 1363-1378 (with H.S. Kim and S.Y. Shin)

(29) On the preservation of stability under convolutions, Adv. Comput. Math. 19 (2003), no.1-3, 183-193 (with G.J. Chae)

(30) Local analysis of frame multiresolution analysis with a general dilation matrix. Bull. Aus-tral. Math. Soc. 67 (2003), no. 2, 285-295 (with R.Y. Kim and J.K. Lim)

(31) Quasi-biorthogonal frame multiresolution analyses and wavelets. Frames. Adv. Comput. Math. 18 (2003), no. 2-4, 269-296 (with R.Y. Kim and J.K. Lim)

(32) On Riesz wavelets associated with multiresolution analyses. Appl. Comput. Harmon. Anal. 13 (2002), no. 2, 138-150 (with R.Y. Kim, Y.H. Lee and J.K. Lim)

(33) Applications of shift-invariant space theory to some problems of multi-resolution analysis of L2(Rd). Wavelet analysis and applications (Guangzhou, 1999), 183-191, AMS/IP Stud. Adv. Math., 25, Amer. Math. Soc., Providence, RI, 2002 (with J.K. Lim)

(34) On the Cohen-type conditions for the stability of shifts of a re¯nable function. Wavelet analysis and applications (Guangzhou, 1999), 67-72, AMS/IP Stud. Adv. Math., 25, Amer. Math. Soc., Providence, RI, 2002 (with G.J. Chae and R.Y. Kim)

(35) Semi-orthogonal frame wavelets and frame multi-resolution analyses. Bull. Austral. Math. Soc. 65 (2002), no. 1, 35-44 (with R.Y. Kim and J.K. Lim)

(36) Variations of Cohen’s theorem. Japan J. Indust. Appl. Math. 18 (2001), no. 3, 769-775(with G.J. Chae and R.Y. Kim)

(37) Characterizations of biorthogonal wavelets which are associated with biorthogonal multires-olution analyses. Appl. Comput. Harmon. Anal. 11 (2001), no. 2, 263-272 (with R.Y. Kim and J.K. Lim)

(38) Composition operators between Nevanlinna-type spaces. J. Math. Anal. Appl. 257 (2001), no. 2, 378-402 (with J.S. Choa)

(39) Composition operators from the space of Cauchy transforms into its Hardy-type subspaces. Rocky Mountain J. Math. 31 (2001), no. 1, 95-113 (with J.S. Choa)

(40) On frame wavelets associated with frame multiresolution analysis. Appl. Comput. Harmon. Anal. 10 (2001), no. 1, 61-70 (with J.K. Lim)

(41) Frame multiresolution analysis. Commun. Korean Math. Soc. 15 (2000), no. 2, 285-308(with J.K. Lim)

(42) On complex-tangential curves on the unit sphere on C2 and homogeneous polynomials. Proc. Japan Acad. Ser. A Math. Sci. 76 (2000), no. 3, 39-43

(43) The generalized Shannon system in wavelet space. J. Austral. Math. Soc. Ser. B 41 (2000), no. 3, 386-400 (with J.H. Park )

(44) Compact composition operators on the Smirnov class. Proc. Amer. Math. Soc. 128 (2000), no. 8, 2297-2308 (with J.S. Choa and J.H. Shapiro)

(45) On function-theoretic conditions characterizing compact composition operators on H2. Proc. Japan Acad. Ser. A Math. Sci. 75 (1999), no. 7, 109-112 (with J.S. Choa)

(46) Unimodular wavelets and scaling functions. Commun. Korean Math. Soc. 13 (1998), no. 2, 289-305 (with J.H. Park)

(47) G1 arc spline approximation of quadratic Bezier curevers, Computer Aided Design, 30 (1998), 615-620 (with Y.J. Ahn and K.Y. Lee)

(48) Curvatures of the quadratic rational Bezier curves. Comput. Math. Appl. 36 (1998), no. 9, 71-83 (with Y.J. Ahn)

(49) An e±cient algorithm for determining the extreme vertices of a moving 3D convex polyhe-dron with respect to a plane. Comput. Math. Appl. 36 (1998), no. 3, 55-61 (with H.S. Kim and S.Y. Shin)

(50) Finite di®erence preconditioning cubic spline collocation method of elliptic equations. Nu-mer. Math. 77 (1997), no. 1, 83-103 (with S.D. Kim and Y.H. Lee)

(51) Approximation of circular arcs by Bezier curves. J. Comput. Appl. Math. 81 (1997), no.1, 145-163 (with Y.J. Ahn)

(52) Degree reduction of Bezier curves by L1-approximation with endpoint interpolation. Com-put. Math. Appl. 33 (1997), no. 5, 67-77 (with S.Y. Moon)

(53) New characterizations of Riesz bases. Appl. Comput. Harmon. Anal. 4 (1997), no. 2, 222-229 (with J.K. Lim)

(54) Compact composition operators on the Nevanlinna class. Proc. Amer. Math. Soc. 125 (1997), no. 1, 145-151 (with J.S. Choa)

(55) Use of potential functions in 3D rendering of fractal images from complex functions, Visual Computer 12 (1996), 159-172 (with Y.B. Kim, H.S. Kim, S.Y. Shin)

(56) Inner functions with given entropy, Kyungpook Math. J. 35 (1996), no. 3, Special Issue, 583-590 (with H.S. Kim and H.G. Ryu)

(57) On Gibbs’ phenomenon for sampling series in wavelet subspaces. Appl. Anal. 61 (1996), no. 1-2, 97-109 (with H.T. Shim)

(58) F-algebra M of holomorphic functions. The structure of spaces of analytic and harmonic functions and the theory of operators on them (Japanese) (Kyoto, 1995). S¹urikaisekikenky¹usho K¹oky¹uroku No. 946 (1996), 43-46

(59) Degree reduction of Bezier curves and ¯lter banks. Comput. Math. Appl. 31 (1996), no.10, 23-30 (with J.H. Kim and S.Y. Moon)

(60) Composition operators on some F-algebras of holomorphic functions. Nihonkai Math. J. 7 (1996), no. 1, 29-39 (with J.S. Choa)

(61) Asymptotic behavior of Lebesgue measures of Cantor sets arising in the dynamics of tangent family T®(µ) = ® tan(µ=2). J. Korean Math. Soc. 33 (1996), no. 1, 47-55 (with J.K. Kim and J.W. Kim)

(62) Dynamics of two parameter family of point-mass singular inner functions. J. Korean Math. Soc. 33 (1996), no. 1, 39-46 (with H.S. Kim)

(63) M-harmonic functions with M-harmonic square. Bull. Austral. Math. Soc. 53 (1996), no. 1, 123-129

(64) A Littlewood and Paley-type inequality on the ball. Bull. Austral. Math. Soc. 50 (1994), no. 2, 265-271 (with J.S. Choa)

(65) Image generation by Blaschke products in the unit disc, Computers and Graphics, 17 (1993), 489-494 (with H.S. Kim and S.Y. Shin)

(66) In¯nite-corner-pint fractal image generation by Newton method for solving exp (¡®³+z³¡z)¡ 1 = 0, Computer and Graphics, 17 (1993), 705-711 (with Y.B. Kim, H.S. Kim and S.Y. Shin)

(67) M-subspaces of X¸. Illinois J. Math. 37 (1993), no. 4, 575-588 (with E.G. Kwon)

(68) Iterations, Denjoy-Wol® points and ergodic properties of point-mass singular inner func-tions. J. Math. Anal. Appl. 175 (1993), no. 1, 105-117 (with H.S. Kim)

(69) On a partial di®erential operator associated with the eigenvalue problem of the invariant laplacian, Kyungpook Mathematical Journal, 32 (1992), no. 3, 401-413 (with Hyo-Jeong Jeong)

(70) On the boundary behavior of functions holomorphic on the ball. Complex Variables Theory Appl. 20 (1992), no. 1-4, 53-61 (with B.R. Choe)

(71) A Bergman-Carleson measure characterization of Bloch functions in the unit ball of Cn. Bull. Korean Math. Soc. 29 (1992), no. 2, 285-293 (with J.S. Choa and Y.Y. Park)

(72) Maximal functions of plurisubharmonic functions. Tsukuba J. Math. 16 (1992), no. 1, 11-18 (with Y.Y. Park)

(73) Homogeneous polynomials satisfying Cauchy integral equalities. J. Korean Math. Soc. 27 (1990), no. 2, 193-202 (with J.S. Choa)

(74) On the representing measure of a function subordinate to (1+z)2=(1¡z)2, Comm. Korean Math. Soc. 4 (1989), no. 1, 113-119 (with S.K. Lee)

(75) Composition with a nonhomogeneous bounded holomorphic function on the ball. Canad. J. Math. 41 (1989), no. 5, 870-881 (with J.S. Choa)

(76) Weighted subspaces of Hardy spaces. Canad. J. Math. 40 (1988), no. 5, 1074-1083 (with E.G. Kwon)

(77) Iterations of the unit singular inner function. Bull. Korean Math. Soc. 25 (1988), no. 2, 243-246

(78) On an F-algebra of holomorphic functions. Canad. J. Math. 40 (1988), no. 3, 718-741

(79) On the dual space of a weighted Bergman space on the unit ball of Cn. Internat. J. Math. Math. Sci. 11 (1988), no. 3, 457-464 (with J.S. Choa)

(80) A note on the space Hp;a, Comm. Korean Math. Soc. 2 (1987), no. 1, 47-52 (with S.M. Kim and E.G. Kwon)

(81) A note on a space Hp;a of holomorphic functions. Bull. Austral. Math. Soc. 35 (1987), no. 3, 471-479 (with S.M. Kim and E.G. Kwon)

(82) On closed maximal ideals of M. Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), no. 9, 343-346

(83) A note on n-harmonic majorants. Bull. Austral. Math. Soc. 34 (1986), no. 3, 461-472 (with C.O. Lee)

(84) On the Blaschke conditions of (LP) functions and normal functions. I. Kyungpook Math. J. 26 (1986), no. 1, 1-3 (with E.G. Kwon and J.K. Lim)

(85) On Fatou points of (LP) functions. Bull. Korean Math. Soc. 23 (1986), no. 1, 17-20 (with E.G. Kwon and J.K. Lim)

(86) On a theorem of Hardy and Littlewood on the polydisc. Proc. Amer. Math. Soc. 97 (1986), no. 3, 403-409

(87) Derivatives of Blaschke products. Paci¯c J. Math. 114 (1984), no. 1, 175-190

(88) On the mean boundary behavior and the Taylor coe±cients of an in¯nite Blaschke product. Michigan Math. J. 31 (1984), no. 1, 3-14 (with P. Ahern)

(89) A certain semigroup associated with a topological space. Kyungpook Math. J. 15 (1975),no. 2, 241-245

(90) On weak continuous functions into Hausdor® spaces. Kyungpook Math. J. 14 (1974), 239-242 (with C.K. Pahk)

(91) On the product of the structure spaces. Kyungpook Math. J. 11 (1971), 29-32

(92) Notes on C-compact spaces and functionally compact spaces. Kyungpook Math. J. 10(1970) 75-80

Hongoh, Kim, Ph.D.

Tel. : +82-52-217-2031