Publications


D. E. Dutkay, G. Picioroaga and M.-S. Song, "Orthonomal Bases Generated by Cuntz Algebras," J. Math. Anal. Appl., Elsevier 409(2): 1128-1139, 2014. pdf

P. E. T. Jorgensen and M.-S. Song, "Compactification of Infinite Graphs and Sampling," Sampling Theory in Signal and Image Processing, Sampling Publishing to appear, 2014. pdf

P. E. T. Jorgensen and M.-S. Song, "Matrix Factorization and Lifting," Sampling Theory in Signal and Image Processing, 9:167-197, Sampling Publishing, 2010. pdf

P. E. T. Jorgensen and M.-S. Song, "Scaling, image compression and encoding," Analysis for Science, Engineering and Beyond, Springer, 2011 pdf

P. E. T. Jorgensen and M.-S. Song, "Spectral Theory of Discrete Processes," Cent. Eur. J. Phys. 8(3):340-363, 2010. pdf

P. E. T. Jorgensen and M.-S. Song, "An Extension of Wiener Integration with the Use of Operator Theory," J. Math. Phys. 50 103502, 2009. pdf

P. E. T. Jorgensen and M.-S. Song, "Analysis of Fractals, Image Compression, Entropy Encoding and Karhunen-Loeve Transforms," Acta Applicandae Mathematica, 108, 5:498-508, Springer, 2009. pdf

P. E. T. Jorgensen and M.-S. Song, "Optimal Decompositions of Translations of L^2 - Functions," Complex Analysis and Operator Theory, vol 3, No 2:449-478, Birkhauser, 2008. pdf

K. Kim, K. H. Leem, G. Pelekanos and M.-S. Song, "Algebraic Multigrid Preconditioner for a Finite Element Method in TM Electromagnetic Scattering," Journal of Computational Analysis and Applications, vol 11, No 4:597-605, Eudoxus Press, 2009. pdf

M.-S. Song, "Entropy Encoding in Wavelet Image Compression," Representations, Wavelets and Frames A Celebration of the Mathematical Work of Lawrence Baggett (Editors Palle E.T. Jorgensen, Kathy D. Merrill and Judith A. Packer), 293--311, Springer, 2007. pdf

P. E. T. Jorgensen and M.-S. Song, "Comparison of Discrete and Continuous Wavelet Transforms," Springer Encyclopedia of Complexity and Systems Science, Springer, 2008. pdf

P. E. T. Jorgensen and M.-S. Song, "Entropy Encoding, Hilbert Space and Karhunen-Loeve Transforms," J. Math. Phys. 48 103503, 2007. pdf

M.-S. Song, "Wavelet Image Compression," Operator Theory, Operator Algebras, and Applications, Contemp. Math., vol. 414, American Mathematical Society, Providence 2006. pdf


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Updated Sept 5, 2013 1:25pm CDT