My scientific papers

 

Published papers

  1. Malozemov V. N., Masharsky S. M. Foundations of Discrete Harmonic Analysis. Part I. SPb.: NIIMM, 2003. 100 pp.
  2. Malozemov V. N., Masharsky S. M. Foundations of Discrete Harmonic Analysis. Part II. SPb.: NIIMM, 2003. 100 pp.
  3. Malozemov V. N., Masharsky S. M. Foundations of Discrete Harmonic Analysis. Part III. SPb.: NIIMM, 2003. 88 pp.
  4. Korovkin A. V., Masharsky S. M. On the fast Ahmed–Rao transform with subsampling in frequency // Zh. vychisl. mat. i matem. fiz. 2004. Vol. 44. No. 6. P. 986–996 (in Russian).
    Transl. in Comp. Math. and Mathem. Phys., 2004, Vol. 44, No. 6, P. 934–944.
    English abstract is available.
  5. Korovkin A. V., Masharsky S. M. On the fast Ahmed–Rao transform with subsampling in time // Vestnik SPbGU. Ser. 1. 2004. Vol. 2 (No. 9). P. 38–47 (in Russian; English abstract is available).
  6. Korovkin A. V., Malozemov V. N., Masharsky S. M. Ahmed–Rao bases and wavelet expansions // Int. Conf. "Wavelets and Splines". Abstracts. St. Petersburg, 2003. P. 56–57.
  7. Masharsky S. M. Fast Vilenkin–Chrestenson transform based on Good's factorization // Zh. vychisl. mat. i matem. fiz. 2002. Vol. 42. No. 6. P. 784–790 (in Russian).
    Transl. in Comp. Math. and Mathem. Phys., 2002, Vol. 42, No. 6, P. 751–757.
    English abstract is available.
  8. Masharsky S. M. Autoreversal Haar–Chrestenson spectra // Vestnik SPbGU. Ser. 1. 2001. Vol. 2 (No. 9). P. 57–65 (in Russian; English abstract is available).
  9. Malozemov V. N., Masharsky S. M. Glassman's formula, fast Fourier transform, and wavelet expansions // Proceedings of St. Petersburg Math. Soc. Vol. 9. 2001. P. 97–119 (in Russian).
    Transl. in Amer. Math. Soc. Transl., 2003, Vol. 209, No. 2, P. 93–114.
    English abstract is available.
  10. Malozemov V. N., Masharsky S. M. Adaptive signal processing based on discrete Vilenkin–Chrestenson transform // Proc. Int. Conf. "Neural Networks and Artificial Intelligence". Minsk, Belarus, 2001. P. 211–213.
  11. Malozemov V. N., Masharsky S. M., Tsvetkov K. Yu. Frank signal and its generalizations // Problemy peredachi informatsii. 2001. Vol. 37. No. 2. P. 18–26 (in Russian).
    Transl. in Probl. Inform. Trans., 2001, Vol. 37, No. 2, P. 100–107.
    English abstract is available.
  12. Masharsky S. M. Haar–Chrestenson spectra of discrete signals // Abstracts Int. Conf. "Optimization of Finite Element Approximations & Splines and Wavelets". St. Petersburg, 2001. P. 153–154.
  13. Malozemov V. N., Masharsky S. M., Tsvetkov K. Yu. Orthogonal systems based on generalized Frank constructions // Abstracts Int. Conf. "Optimization of Finite Element Approximations & Splines and Wavelets". St. Petersburg, 2001. P. 152–153.
  14. Malozemov V. N., Masharsky S. M. Generalized wavelet bases related with discrete Vilenkin–Chrestenson transform // Algebra i analiz. 2001. Vol. 13. No. 1. P. 111–157 (in Russian).
    Transl. in St. Petersburg Math. J., 2002, Vol. 13, No. 1, P. 75–106.
    English abstract is available.
  15. Masharsky S. M. Convolution and correlation of discrete signals in Haar–Chrestenson bases // Vestnik molodykh uchenykh. Prikl. matem. i mekhanika. 2000. No. 4. P. 31–40 (in Russian; English abstract is available).
  16. Malozemov V. N., Masharsky S. M. Haar spectra of discrete convolutions // Zh. vychisl. mat. i matem. fiz. 2000. Vol. 40. No. 6. P. 954–960 (in Russian).
    Transl. in Comp. Math. and Mathem. Phys., 2000, Vol. 40, No. 6, P. 914–921.
    English abstract is available.
  17. Malozemov V. N., Masharsky S. M. Comparative study of two wavelet bases // Problemy peredachi informatsii. 2000. Vol. 36. No. 2. P. 27–37 (in Russian).
    Transl. in Probl. Inform. Trans., 2000, Vol. 36, No. 2, P. 114–124.
    English abstract is available.
  18. Malozemov V. N., Masharsky S. M. Haar spectra of discrete signals // Abstracts of the 2nd Int. Conf. "Tools for Mathematical Modelling". St. Petersburg, 1999. P. 86–87.
  19. Masharsky S. M. On the least squares method over a discrete rectangle // Proceedings of the 3rd St. Petersburg Workshop on Simulation. 1998. P. 376–380.
  20. Masharsky S. M. On the least squares method over equally spaced points // Vestnik molodykh uchenykh. Prikl. matem. i mekhanika. 1997. No. 1. P. 11–19 (in Russian; English abstract is available).
 

Preprints

  1. Masharsky S. M., Tsvetkov K. Yu. On cross-correlation function of discrete signals in Vilenkin–Chrestenson basis // St. Petersburg Math. Soc. electronic preprints archive. Preprint No. 2003-09.
 

Ph.D. thesis

Harmonic Analysis Based on Discrete Vilenkin–Chrestenson Transform (in Russian). St. Petersburg University, 2001.
Ŕutoreferat.  
   

M.S. thesis

Orthogonal Polynomials on Equidistant Grid and Their Application to the Least Squares Method (in Russian). St. Petersburg University, 1998.  
 

 
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