Calculation of the Riesz constants and orthogonalization for incomplete systems of coherent states by means of theta functions

DOI10.1070/SM8542zbMath1362.42064OpenAlexW2462096311MaRDI QIDQ2966686

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

Publication date: 8 March 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8542

zbMATH Keywords

biorthogonal systemstheta functionsorthogonalizationcoherent statesRiesz systems

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (2)

Hermitian interpolation using window systems generated by uniform translates of the Gaussian function ⋮ Limit properties of systems of integer translates and functions generating tight Gabor frames

Uses Software

• DLMF

Cites Work

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• On the Riesz constants for systems of integer translates
• On the construction of biorthogonal systems for subspaces generated by integral shifts of a single function

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