Zeros of the Zak transform of averaged totally positive functions

DOI10.1016/j.jat.2017.06.001zbMath1372.42034OpenAlexW2626182444MaRDI QIDQ2404053

O. L. Vinogradov, A. Yu. Ulitskaya

Publication date: 12 September 2017

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2017.06.001

zbMATH Keywords

Gabor framesZak transformtotally positive functionsexponential \(B\)-splines

Mathematics Subject Classification ID

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

Related Items (3)

Totally positive functions and Gabor frames over rational lattices ⋮ Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts ⋮ Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts

Cites Work

• Unnamed Item
• Zeros of the Zak transform of totally positive functions
• Foundations of time-frequency analysis
• Zak transforms and Gabor frames of totally positive functions and exponential B-splines
• On shifted cardinal interpolation by Gaussians and multiquadrics
• On Pólya frequency functions. I. The totally positive functions and their Laplace transforms
• Schoenberg's exponential Euler spline curves
• Discretized Gabor Frames of Totally Positive Functions

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