Zeros of the Zak transform of totally positive functions

DOI10.1007/s00041-015-9402-5zbMath1330.42019arXiv1411.1539OpenAlexW2161162159MaRDI QIDQ744963

Tobias Kloos

Publication date: 12 October 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1539

zbMATH Keywords

total positivityZak transformGabor frameexponential B-spline

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Approximation in the complex plane (30E10) General harmonic expansions, frames (42C15) Spline approximation (41A15)

Related Items (6)

Zeros of the Zak transform of averaged totally positive functions ⋮ Totally positive functions and Gabor frames over rational lattices ⋮ Spline function generating Gabor systems on the half real line ⋮ On some Hermite series identities and their applications to Gabor analysis ⋮ 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

• Analysis of multiwindow Gabor-type schemes by frame methods
• Foundations of time-frequency analysis
• Zak transforms and Gabor frames of totally positive functions and exponential B-splines
• On Pólya frequency functions. I. The totally positive functions and their Laplace transforms
• Bargmann transform, Zak transform, and coherent states
• The wavelet transform, time-frequency localization and signal analysis
• Discretized Gabor Frames of Totally Positive Functions
• On Totally Positive Functions, LaPlace Integrals and Entire Functions of the LaGuerre-Polya-Schur Type
• The Inversion of a General Class of Convolution Transforms
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