Kangnung, 2015

Lee, Dae Gwan

Postdoctoral researcher,
Department of Mathematics,
Research I, Jacobs University Bremen,
Campus Ring 1, 28759 Bremen, Germany
e-mail : daegwans (at) gmail (dot) com

Full Curriculum Vitae


Research Interest Research Publications
  1. (with K. H. Kwon) Oversampling expansion in wavelet subspaces, IEICE Trans. Fundamentals, vol. E94-A, no. 5, 1184-1193, May 2011.
  2. (with K. H. Kwon and G. J. Yoon) Generating new frames in L2(R) by convolutions, J. KSIAM, vol. 15, no. 4, 319-328, Dec. 2011.
  3. (with K. H. Kwon and J. Yoon) Band-limited scaling functions with oversampling property, IEICE Trans. Fundamentals, vol. E95-A, no. 3, 661-664, Mar. 2012.
  4. (with S. Kang and K. H. Kwon) Recovery of missing samples from multi-channel oversampling in shift-invariant spaces, Sampl. Theory Signal Image Process., vol. 11, no. 1, 95-112, 2012.
  5. (with S. Kang and K. H. Kwon) Recovery of missing samples from oversampled bandpass signals and its stability, IEICE Trans. Fundamentals, vol. E96-A, no. 6, 1412-1420, Jun. 2013.
  6. (with K. H. Kwon) Invariance and periodic oversampling in principal shift-invariant spaces, IEICE Trans. Fundamentals, vol. E97-A, no. 1, 313-321, Jan. 2014.
  7. (with P. J. S. G. Ferreira) Direct construction of superoscillations, IEEE Trans. Signal Process., vol. 62, no. 12, 3125-3134, Jun. 2014.
  8. (with P. J. S. G. Ferreira) Superoscillations of prescribed amplitude and derivative, IEEE Trans. Signal Process., vol. 62, no. 12, 3371-3378, Jul. 2014.
  9. (with P. J. S. G. Ferreira) Superoscillations with optimum energy concentration, IEEE Trans. Signal Process., vol. 62, no. 18, 4857-4867, Sep. 2014.
  10. (with P. J. S. G. Ferreira) Superoscillations with optimal numerical stability, IEEE Signal Process. Lett., vol. 21, no. 12, 1443-1447, Dec. 2014.
  11. (with K. Han, K. H. Kwon and J. Lee) Consistent sampling for multi frame generators with distinct sampling rates, Sampl. Theory Signal Image Process., vol. 14, no. 2, 101-115, 2015.
  12. (with K. H. Kwon) Generalized consistent sampling in abstract Hilbert spaces, J. Math. Anal. Appl., vol. 433, no. 1, 375-391, Jan. 2016.
Preprints
  1. (with K. H. Kwon) Consistent sampling approximations in Hilbert spaces, preprint.
Proceedings
  1. (with S. Kang and K. H. Kwon) Beyond Shannon: Generalized Sampling, Lecture Notes ``Collaboration between theory and practice in inverse problems'', Institute of Mathematics for Industry, Kyushu University.
Talks
  1. Generating new frames in L2(R) by convolutions, 2009 Joint meeting of KMS and AMS, Seoul, S. Korea, Dec. 18, 2009.
  2. Oversampling and its error analysis in wavelet subspaces, SampTA 2011 (The 9th international conference on Sampling Theory and Applications), Singapore, May 5, 2011.
  3. Oversampling in wavelet subspaces, KSIAM 2011 Spring Conference, Daejeon, S. Korea, May 27, 2011.
  4. (poster) Invariance and periodic oversampling in principal shift-invariant spaces, FFT 2012 (February Fourier Talks 2012), Department of Mathematics, University of Maryland, MD, USA, Feb. 16, 2012.
  5. Invariance and periodic oversampling in principal shift-invariant spaces, Workshop on Applied Harmonic Analysis (AHA 2012), Seoul, S. Korea, Jun. 18, 2012.
  6. Generalized oversampling with missing samples, SampTA 2013 (The 10th international conference on Sampling Theory and Applications), Bremen, Germany, Jul. 4, 2013.
  7. Recovery of missing samples for generalized oversampling, 2013 KMS Annual Meeting, University of Seoul, S. Korea, Oct. 25, 2013.
  8. (seminar) Generalized consistent sampling in Hilbert spaces, CIDMA, Department of Mathematics, Universidade de Aveiro, Portugal, Feb. 13, 2014.
  9. Generalized consistent sampling and reconstruction in arbitrary Hilbert spaces, ICM 2014 (The International Congress of Mathematicians 2014), Seoul, S. Korea, Aug. 19, 2014.
  10. Optimized Superoscillations, 2015 Ewha IMS Workshop, Ewha Womans Univ., Seoul, S. Korea, May 15, 2015.
  11. Optimization of Superoscillations, KSIAM 2015 Spring Conference, Sungkyunkwan university, Suwon, S. Korea, May 29, 2015.

Last updated on Sep. 10, 2015.