Hermitian interpolation using window systems generated by uniform translates of the Gaussian function

DOI10.1134/s0001434623110780OpenAlexW4392778803MaRDI QIDQ6194325

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

Publication date: 19 March 2024

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623110780

zbMATH Keywords

Hermitian interpolationGauss functionGabor framewindow system

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Trigonometric interpolation (42A15) General harmonic expansions, frames (42C15) Interpolation in approximation theory (41A05)

Cites Work

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• On expansion with respect to Gabor frames generated by the Gaussian function
• Approximate approximations from scattered data
• Some Weyl-Heisenberg frame bound calculations.
• On the Riesz constants for systems of integer translates
• Ellipse-preserving Hermite interpolation and subdivision
• Cardinal interpolation and spline functions. III: Cardinal Hermite interpolation
• Calculation of the Riesz constants and orthogonalization for incomplete systems of coherent states by means of theta functions
• Ten Lectures on Wavelets
• Cardinal exponential splines: part I - theory and filtering algorithms

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