1 |
A G D Atindehou. On the frame set for the 3-spline. Appl Math 2022; 13: 377–400
|
2 |
A G D Atindehou, C Frederick, Y B Kouagou, K A Okoudjou. On the frame set of the second-order B-spline. Appl Comput Harmon Anal 2023; 62: 237–250
|
3 |
A G D AtindehouY B KouagouK A Okoudjou. Frame sets for generalized B-splines. 2018, arXiv: 1804-02450
|
4 |
A G D Atindehou, Y B Kouagou, K A Okoudjou. Frame sets for a class of compactly supported continuous functions. Asian-Eur J Math 2020; 13(5): 2050093
|
5 |
A G D AtindehouB YebeniY B KouagouK. A Okoudjou. Frame sets for generalized B-splines. 2018, arXiv: 1804.02450v2
|
6 |
Y Belov, A Kulikov, Y Lyubarskii. Gabor frames for rational functions. Invent Math 2023; 23(2): 431–466
|
7 |
Á BényiK A Okoudjou. Modulation Spaces: With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations. Applied and Numerical Harmonic Analysis. New York: Birkhaüser/Springer, 2020
|
8 |
O Christensen. Six (seven) problems in frame theory. In: New Perspectives on Approximation and Sampling Theory. Applied and Numerical Harmonic Analysis. Cham: Birkhaüser/Springer, 2014, 337–358
|
9 |
O Christensen. An Introduction to Frames and Riesz Bases, 2nd ed. Applied and Numerical Harmonic Analysis. Cham: Birkhaüser/Springer, 2016
|
10 |
O Christensen, H O Kim, R Y Kim. Gabor windows supported on [−1,1] and compactly supported dual windows. Appl Comput Harmon Anal 2010; 28(1): 89–103
|
11 |
O Christensen, H O Kim, R Y Kim. On Gabor frames generated by sign-changing windows and B-splines. Appl Comput Harmon Anal 2015; 39(3): 534–544
|
12 |
O Christensen, H O Kim, R Y Kim. On Gabor frame set for compactly supported continuous functions. J Inequal Appl 2016; 94
|
13 |
X R Dai, Q Y Sun. The abc-problem for Gabor systems. Mem Amer Math Soc 2016; 244(1152): ix+99 pp
|
14 |
X R DaiM Zhu. Frame sets for Gabor systems with Haar window. 2022, arXiv: 2205.06479v1
|
15 |
I Daubechies. The wavelet transform, time-frequency localization and signal analysis. IEEE Trans Inform Theory 1990; 36(5): 961–1005
|
16 |
I Daubechies. Ten Lectures on Wavelets. CBMS-NSF Regional Conference Series in Applied Mathematics, Vol 61. Philadelphia, PA: SIAM, 1992
|
17 |
I Daubechies, H Landau, Z Landau. Gabor time-frequency lattices and the Wexler-Raz identity. J Fourier Anal Appl 1995; 1(4): 437–478
|
18 |
H G Feichtinger, K Gröchenig. Gabor frames and time-frequency analysis of distributions. J Funct Anal 1997; 146(2): 464–495
|
19 |
H G Feichtinger, N Kaiblinger. Varying the time-frequency lattices of Gabor frames. Trans Amer Math Soc 2004; 356(5): 2001–2023
|
20 |
H G FeichtibgerT (eds) Strohmer. Gabor Analysis and Algorithms: Theory and Applications. Applied and Numerical Harmonic Analysis. Boston, MA: Birkhaüser Boston, Inc, 1998
|
21 |
H G FeichtingerT (eds) Strohmer. Advances in Gabor Analysis. Applied and Nu- merical Harmonic Analysis. Boston, MA: Birkhaüser Boston, Inc, 2003
|
22 |
K Gröchenig. Foundations of Time-Frequency Analysis. Applied and Numerical Har- monic Analysis. Boston, MA: Birkhaüser Boston, Inc, 2001
|
23 |
K Gröchenig. Time-frequency analysis of Sjöstrand’s class. Rev Mat Iberoam 2006; 22(2): 703–724
|
24 |
K Gröchenig. The mystery of Gabor frames. J Fourier Anal Appl 2014; 20(4): 865–895
|
25 |
K Gröchenig, J L Romero, J Stöckler. Sampling theorems for shift-invariant spaces, Gabor frames, and totally positive functions. Invent Math 2018; 211(3): 1119–1148
|
26 |
K Gröchenig, J L Romero, J Stöckler. Sharp results on sampling with derivatives in shift-invariant spaces and multi-window Gabor frames. Constr Approx 2020; 51(1): 1–25
|
27 |
K Gröchenig, J Stöckler. Gabor frames and totally positive functions. Duke Math J 2013; 162(6): 1003–1031
|
28 |
Q Gu, D G Han. When a characteristic function generates a Gabor frame?. Appl Comput Harmon Anal 2008; 24(3): 290–309
|
29 |
C Heil. History and evolution of the density theorem for Gabor frames. J Fourier Anal Appl 2007; 13(2): 113–166
|
30 |
F HlawatschG Matz. Wireless communications over rapidly time-varying channels. Amsterdam: Academic Press, 2011
|
31 |
A J E M Janssen. Some Weyl-Heisenberg frame bound calculations. Indag Math (N S) 1996; 7(2): 165–183
|
32 |
A J E M Janssen. On generating tight Gabor frames at critical density. J Fourier Anal Appl 2003; 9(2): 175–214
|
33 |
A J E M Janssen. Zak transforms with few zeros and the tie. In: Advances in Gabor Analysis. App Numer Harmon Anal. Boston, MA: Birkhaüser Boston, Inc, 2003, 31–70
|
34 |
A J E M Janssen, T Strohmer. Hyperbolic secants yield Gabor frames. Appl Comput Harmon Anal 2002; 12(2): 259–267
|
35 |
T Kloos, J Stöckler. Zak transforms and Gabor frames of totally positive functions and exponential B-splines. J Approx Theory 2014; 184: 209–237
|
36 |
J Lemvig, K H Nielsen. Counterexamples to the B-spline conjecture for Gabor frames. J Fourier Anal Appl 2016; 22(6): 1440–1451
|
37 |
D F Li. Mathematical Theory of Wavelet Analysis. Beijing: Science Press, 2017 (in Chinese)
|
38 |
F Luef. Projective modules over noncommutative tori are multi-window Gabor frames for modulation spaces. J Funct Anal 2009; 257(6): 1921–1946
|
39 |
Y I Lyubarskii. Frames in the Bargmann space of entire function functions. In: Entire and Subharmonic Functions. Adv Sovit Math, Vol 11. Providence, RI: AMS, 1992, 167–180
|
40 |
K H Nielsen. The frame set of Gabor systems with B-spline generators. Master Thesis. København: Technical University of Denmark, 2015
|
41 |
K A Okoudjou. An invitation to Gabor analysis. Notices Amer Math Soc 2019; 66(6): 808–819
|
42 |
K Seip. Density theorems for sampling and interpolation in the Bargmann-Fock space, I. J Reine Angew Math 1992; 429: 91–106
|
43 |
K Seip. Interpolation and sampling in spaces of analytic functions. University Lecture Series, Vol 33. Providence, RI: AMS, 2004
|
44 |
K Seip, R Wallstén. Density theorems for sampling and interpolation in the Bargmann-Fock space, II. J Reine Angew Math 1992; 429: 107–113
|
45 |
T Strohmer. Approximation of dual Gabor frames, window decay, and wireless communications. Appl Comput Harmon Anal 2001; 11(2): 243–262
|
46 |
T Strohmer. Pseudodifferential operators and Banach algebras in mobile communications. Appl Comput Harmon Anal 2006; 20(2): 237–249
|