Geodesic
Hermitian Interpolation Using Window Systems Generated by Uniform Translates of the Gaussian Function
Matematičeskie zametki, Tome 114 (2023) no. 6, pp. 936-939.

Voir la notice de l'article provenant de la source Math-Net.Ru

Mots-clés : Hermitian interpolation
Keywords: Gauss function, window system, Gabor frame. 
@article{MZM_2023_114_6_a11,
     author = {M. L. Zhadanova and E. A. Kiselev and I. Ya. Novikov and S. N. Ushakov},
     title = {Hermitian {Interpolation} {Using} {Window} {Systems} {Generated} by {Uniform} {Translates} of the {Gaussian} {Function}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {936--939},
     publisher = {mathdoc},
     volume = {114},
     number = {6},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2023_114_6_a11/}
}
TY  - JOUR
AU  - M. L. Zhadanova
AU  - E. A. Kiselev
AU  - I. Ya. Novikov
AU  - S. N. Ushakov
TI  - Hermitian Interpolation Using Window Systems Generated by Uniform Translates of the Gaussian Function
JO  - Matematičeskie zametki
PY  - 2023
SP  - 936
EP  - 939
VL  - 114
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2023_114_6_a11/
LA  - ru
ID  - MZM_2023_114_6_a11
ER  - 
%0 Journal Article
%A M. L. Zhadanova
%A E. A. Kiselev
%A I. Ya. Novikov
%A S. N. Ushakov
%T Hermitian Interpolation Using Window Systems Generated by Uniform Translates of the Gaussian Function
%J Matematičeskie zametki
%D 2023
%P 936-939
%V 114
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2023_114_6_a11/
%G ru
%F MZM_2023_114_6_a11
M. L. Zhadanova; E. A. Kiselev; I. Ya. Novikov; S. N. Ushakov. Hermitian Interpolation Using Window Systems Generated by Uniform Translates of the Gaussian Function. Matematičeskie zametki, Tome 114 (2023) no. 6, pp. 936-939. http://geodesic.mathdoc.fr/item/MZM_2023_114_6_a11/

[1] I. S. Berezin, N. P. Zhidkov, Metody vychislenii, GIFML, M., 1962 | MR

[2] Yu. S. Zavyalov, B. I. Kvasov, V. L. Miroshnichenko, Metody splain-funktsii, Nauka, M., 1980 | MR

[3] P. R. Lipow, I. J. Schoenberg, Linear Algebra Appl., 6 (1973), 273–304 | DOI | MR

[4] M. Unser, T. Blu, IEEE Trans. Signal Process., 53:4 (2005), 1425–1438 | DOI | MR

[5] C. Conti, L. Romani, M. Unser, J. Math. Anal. Appl., 426:1 (2015), 211–227 | DOI | MR

[6] H. G. Feichtinger, F. Luef, T. Werther, Gabor and Wavelet Frames, Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., 10, World Scientific, Hackensack, NJ, 2007 | MR

[7] J. Wexler, S. Raz, Signal Processing, 21:3 (1990), 207–220 | DOI

[8] I. Dobeshi, Desyat lektsii po veivletam, RKhD, Izhevsk, 2001

[9] N. K. Bari, Matematika. Tom IV, Uch. zapiski Mosk. gos. un-ta, 148, Izd-vo Mosk. un-ta, M., 1951, 69–107 | MR

[10] I. Ya. Novikov, V. Yu. Protasov, M. A. Skopina, Teoriya vspleskov, Fizmatlit, M., 2005 | MR

[11] A. J. E. M. Janssen, Indag. Math. (N.S.), 7:2 (1996), 165–183 | DOI | MR

[12] L. A. Minin, I. Ya. Novikov, S. N. Ushakov, Matem. zametki, 100:6 (2016), 951–953 | DOI | MR

[13] E. A. Kiselev, L. A. Minin, I. Ya. Novikov, Matem. sb., 207:8 (2016), 101–116 | DOI | MR

[14] V. Maz'ya, G. Scmidth, Approximate Approximations, Math. Surveys Monogr., 141, Amer. Math. Soc., Providence, RI, 2007 | MR

[15] L. A. Minin, S. M. Sitnik, S. N. Ushakov, Nauchnye vedomosti BelGU. Seriya: Matematika. Fizika., 35:12 (183) (2014), 214–217

[16] Ch. Chui, Vvedenie v veivlety, Mir, M., 2001 | MR

[17] E. A. Kiselev, L. A. Minin, I. Ya. Novikov, S. M. Sitnik, Matem. zametki, 96:2 (2014), 239–250 | DOI | MR | Zbl

[18] E. A. Kiselev, Vestnik VGU. Seriya: Fizika. Matematika, 2016, no. 4, 41–49