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Hermitian Interpolation Using Window Systems Generated by Uniform Translates of the Gaussian Function

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References

  1. I. S. Berezin and N. P. Zhidkov, Methods of Calculation (GIFML, Moscow, 1962) [in Russian].

    Google Scholar 

  2. Yu. S. Zav’yalov, B. I. Kvasov, and V. L. Miroshnichenko, Methos of Spline Functions (Nauka, Moscow, 1980) [in Russian].

    Google Scholar 

  3. P. R. Lipow and I. J. Schoenberg, Linear Algebra Appl. 6, 273 (1973).

    Article  MathSciNet  Google Scholar 

  4. M. Unser and T. Blu, IEEE Trans. Signal Process. 53 (No. 4), 1425 (2005).

    Article  ADS  MathSciNet  Google Scholar 

  5. C. Conti, L. Romani, and M. Unser, J. Math. Anal. Appl. 426 (1), 211 (2015).

    Article  MathSciNet  Google Scholar 

  6. H. G. Feichtinger, F. Luef, and T. Werther, in Gabor and Wavelet Frames, Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap. (World Scientific, Hackensack, NJ, 2007), Vol. 10.

    Chapter  Google Scholar 

  7. J. Wexler and S. Raz, Signal Processing 21 (3), 207 (1990).

    Article  Google Scholar 

  8. I. Daubechies, Ten Lectures on Wavelets (SIAM, Philadelphia, PA, 1002).

    Book  Google Scholar 

  9. N. K. Bari, in Mathematics. Vol. IV, Uch. Zapiski Mosk. Gos. Univ. (Izd. Mosk. Univ., Moscow, 1951), Vol. 148, pp. 69–107.

    Google Scholar 

  10. I. Ya. Novikov, V. Yu. Protasov, and M. A. Skopina, Wavelet Theory (Fizmatlit, Moscow, 2005) [in Russian].

    Google Scholar 

  11. A. J. E. M. Janssen, Indag. Math. (N. S.) 7 (2), 165 (1996).

    Article  MathSciNet  Google Scholar 

  12. L. A. Minin, I. Ya. Novikov, and S. N. Ushakov, Math. Notes 100 (6), 890 (2016).

    Article  MathSciNet  Google Scholar 

  13. E. A. Kiselev, L. A. Minin, and I. Ya. Novikov, Sb. Math. 207 (8), 1127 (2016).

    Article  MathSciNet  Google Scholar 

  14. V. Maz’ya and G. Schmidt, Approximate Approximations, in Math. Surveys Monogr. (Amer. Math. Soc., Providence, RI, 2007), Vol. 141.

    Google Scholar 

  15. L. A. Minin, S. M. Sitnik, and S. N. Ushakov, Nauch. Vedomosti BelGU. Ser. Mat. Fiz. 35 (12 (183)), 214 (2014).

    Google Scholar 

  16. Ch. Chui, An Introduction to Wavelets (Academic Press, Boston, MA, 1992).

    Google Scholar 

  17. E. A. Kiselev, L. A. Minin, I. Ya. Novikov, and S. M. Sitnik, Math. Notes 96 (2), 228 (2014).

    Article  MathSciNet  Google Scholar 

  18. E. A. Kiselev, Vestnik VGU. Ser.: Fiz. Mat., No. 4, 41 (2016).

    Google Scholar 

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Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, 394006, Russia

    M. L. Zhadanova, E. A. Kiselev, I. Ya. Novikov & S. N. Ushakov

Authors
  1. M. L. Zhadanova
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  2. E. A. Kiselev
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  3. I. Ya. Novikov
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  4. S. N. Ushakov
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Corresponding author

Correspondence to I. Ya. Novikov.

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Translated from Matematicheskie Zametki, 2023, Vol. 114, pp. 936–939 https://doi.org/10.4213/mzm13999.

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Zhadanova, M.L., Kiselev, E.A., Novikov, I.Y. et al. Hermitian Interpolation Using Window Systems Generated by Uniform Translates of the Gaussian Function. Math Notes 114, 1499–1502 (2023). https://doi.org/10.1134/S0001434623110780

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