References
I. Daubechies, Ten Lectures on Wavelets in CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 61 (Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992; NITz “Regular and Chaotic Dynamics”, Izhevsk, 2001).
I. Daubechies and A. Grossmann, Comm. Pure Appl. Math. 41 (2), 151 (1988).
I. Daubechies, H. J. Landau, and Z. Landau, J. Fourier Anal. Appl. 1 (4), 437 (1995).
J. Wexler and S. Raz, Signal Process. 21 (3), 207 (1990).
K. Gröchenig and J. Stöckler, DukeMath. J. 162 (6), 1003 (2013).
E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, Pt. 2:. Transcendental Functions (Cambridge Univ. Press, Cambridge, 1927; Fizmatgiz, Moscow, 1963).
A. J. E. M. Janssen, J. Fourier Anal. Appl. 1 (4), 403 (1995).
V. Maz’ya and G. Schmidt, Approximate Approximations, in Math. Surveys Monogr. (Amer. Math. Soc., Providence, RI, 2007), Vol. 141.
H. G. Feichtinger and F. Luef, in Encyclopedia of Applied and Computational Mathematics (Springer, Berlin), pp. 575–579.
E. A. Kiselev and L. A. Minin, Vestnik Voronezh Gos. Univ., Ser. Fiz. Matem. 3, 21 (2014).
E. A. Kiselev, L. A. Minin, I. Ya. Novikov, and S. M. Sitnik, Mat. Zametki 96 (2), 239 (2014) [Math. Notes 96 (1–2), 228 (2014)].
M. V. Zhuravlev, I. Ya. Novikov, and S. N. Ushakov, Vestnik Samara Gos. Univ., Estestvennonauchn. Ser., No. 7 (118), 17 (2014).
L. A. Minin, S. M. Sitnik, and S. N. Ushakov, Nauchn. Vedom. Belgorod Gos. Univ., Ser. Fiz. Matem. 12 (183), 214 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © L. A. Minin, I. Ya. Novikov, S. N. Ushakov, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 6, pp. 951–953.
Rights and permissions
About this article
Cite this article
Minin, L.A., Novikov, I.Y. & Ushakov, S.N. On expansion with respect to Gabor frames generated by the Gaussian function. Math Notes 100, 890–892 (2016). https://doi.org/10.1134/S0001434616110316
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001434616110316