Zak transforms and Gabor frames of totally positive functions and exponential B-splines

Type: Article

Publication Date: 2014-05-23

Citations: 33

DOI: https://doi.org/10.1016/j.jat.2014.05.010

Locations

  • Journal of Approximation Theory - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat Gabor frames and totally positive functions 2013 Karlheinz Gröchenig
Joachim Stöckler
+ On Gabor frames generated by B-splines, totally positive functions, and Hermite functions 2023 Riya Ghosh
A. Antony Selvan
+ PDF Chat Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions 2017 Karlheinz Gröchenig
José Luis Romero
Joachim Stöckler
+ PDF Chat Discretized Gabor Frames of Totally Positive Functions 2014 Severin Bannert
Karlheinz Gröchenig
Joachim Stöckler
+ PDF Chat History and Evolution of the Density Theorem for Gabor Frames 2007 Christopher Heil
+ Totally Positive Functions and Gabor Frames over Rational Lattices 2023 Karlheinz Gröchenig
+ Discretized Gabor Frames of Totally Positive Functions 2013 Severin Bannert
Karlheinz Gröchenig
Joachim Stöckler
+ Discretized Gabor Frames of Totally Positive Functions 2013 Severin Bannert
Karlheinz Gröchenig
Joachim Stöckler
+ Zak Transforms with Few Zeros and the Tie 2003 A. J. E. M. Janssen
+ On Gabor frames generated by sign-changing windows and B-splines 2015 Ole Christensen
Hong Oh Kim
Rae Young Kim
+ On Gabor frames generated by sign-changing windows and B-splines 2015 Ole Christensen
Hong Oh Kim
Rae Young Kim
+ PDF Chat On Gabor frames generated by sign-changing windows and B-splines 2015 Ole Christensen
Hong Oh Kim
Rae Young Kim
+ A characterization of Gabor Riesz bases with separable time-frequency shifts 2022 Christina Frederick
Azita Mayeli
+ PDF Chat On Gabor frames generated by B-splines, totally positive functions, and Hermite functions 2024 Riya Ghosh
A. Antony Selvan
+ PDF Chat Varying the time-frequency lattice of Gabor frames 2003 Hans G. Feichtinger
Norbert Kaiblinger
+ Totally positive functions and Gabor frames over rational lattices 2023 Karlheinz Gröchenig
+ Undersampled windowed exponentials and their applications 2017 Chun‐Kit Lai
Sui Tang
+ SPLINE-TYPE SPACES IN GABOR ANALYSIS 2002 Hans G. Feichtinger
+ PDF Chat Undersampled Windowed Exponentials and Their Applications 2018 Chun‐Kit Lai
Sui Tang
+ Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames 2017 Karlheinz Gröchenig
José Luis Romero
Joachim Stöckler

Works That Cite This (32)

Action Title Year Authors
+ Weighted Zak transforms and the dual tiling condition 2020 Dae Gwan Lee
Götz E. Pfander
+ Spline function generating Gabor systems on the half real line 2023 Ming Yang
Yun‐Zhang Li
+ PDF Chat Sub-Nyquist sampling for short pulses with Gabor frames 2017 Cheng Wang
Ying Wang
Peng Chen
Chen Meng
Xiangjun Song
Wanling Li
+ Gabor windows supported on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e520" altimg="si26.svg"><mml:mrow><mml:mo>[</mml:mo><mml:mo linebreak="goodbreak" linebreakstyle="after">−</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:math> and construction of compactly supported dual windows with optimal smoothness 2019 Jakob Lemvig
Kamilla Haahr Nielsen
+ Frame sets for a class of compactly supported continuous functions 2019 A. Ganiou D. Atindehou
Yébéni B. Kouagou
Kasso A. Okoudjou
+ PDF Chat On Gabor frames generated by sign-changing windows and B-splines 2015 Ole Christensen
Hong Oh Kim
Rae Young Kim
+ PDF Chat Generalized shift-invariant systems and approximately dual frames 2017 Ana Benavente
Ole Christensen
MarĂ­a Isabel Zakowicz
+ PDF Chat Zeros of the Zak Transform of Totally Positive Functions 2015 Tobias Kloos
+ PDF Chat Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions 2017 Karlheinz Gröchenig
José Luis Romero
Joachim Stöckler
+ PDF Chat Implementation of Discretized Gabor Frames and Their Duals 2016 Tobias Kloos
Joachim Stöckler
Karlheinz Gröchenig