Limit properties of systems of integer translates and functions generating tight Gabor frames

DOI10.1134/S0001434619070071zbMath1429.42032OpenAlexW2970722366MaRDI QIDQ2282836

L. A. Minin, E. A. Kiselev, Igor Ya. Novikov

Publication date: 20 December 2019

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

Full work available at URL: https://doi.org/10.1134/s0001434619070071

zbMATH Keywords

Gabor framescaling multipliertranslate of function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15)

Cites Work

• On expansion with respect to Gabor frames generated by the Gaussian function
• On generating tight Gabor frames at critical density
• Characterization and computation of canonical tight windows for Gabor frames
• Some Weyl-Heisenberg frame bound calculations.
• On the Riesz constants for systems of integer translates
• On the sampling and recovery of bandlimited functions via scattered translates of the Gaussian
• Calculation of the Riesz constants and orthogonalization for incomplete systems of coherent states by means of theta functions
• Ten Lectures on Wavelets
• An introduction to frames and Riesz bases
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Limit properties of systems of integer translates and functions generating tight Gabor frames