[1] L.B. Almeida, The fractional Fourier transform and time-frequency representations, IEEE Trans. Signal Process. 42 (1994), 3084–3091.
[2] M. Bahri and R.Ashino, Some properties of windowed linear canonical transform and its logarithmic uncertainty principle, Int. J. Wavelets Multiresol. Inf. Process. 14 (2016), 1650015.
[3] B. Barshan, M.A. Kutay and H.M. Ozaktas, Optimal filtering with linear canonical transformations, Opt. Commun. 135 (1997), 32–36.
[4] W. Beckner, Pitt’s inequality and the uncertainty principle, Proc. Amer. Math. Soc. 123 (1995), 1897–1905.
[5] R. Bracewell, The Fourier Transform and Its Applications, McGraw-Hill Book Co., New York, 1986.
[6] E.J. Cand´es and D.L. Donoho, Continuous curvelet transform: I. Resolution of the wavefront set, Appl. Comput. Harmon. Anal. 19 (2005), 162–197.
[7] E.J. Cand´es and D.L. Donoho, Continuous curvelet transform: II. Discretization and frames, Appl. Comput. Harmon. Anal. 19 (2005), 198–222.
[8] E.J. Cand´es and D.L. Donoho, Ridgelets: a key to higher dimensional intermittency, Phil. Trans. Royal Soc. Lond. Ser. A: Math. Phys. Engin. Sci. 357 (1999), 2495–2509.
[9] S.A. Collins, Lens-system diffraction integral written in terms of matrix optics, J. Optic. Soc. Amer. 60 (1970), 1168–1177.
[10] M.G. Cowling and J.F. Price , Bandwidth verses time concentration: the Heisenberg-Pauli-Weyl inequality, SIAM J. Math Anal. 15 (1984), 151–165.
[11] M.N. Do and M. Vetterli, The contourlet transform: an efficient directional multiresolution image representation, IEEE Trans. Image Process. 14 (2005), 2091–2106.
[12] X. Guanlei, W. Xiaotong and X. Xiaogang, Three uncertainty relations for real signals associated with linear canonical transform, IET Signal Process. 3 (2009), 85–92.
[13] J.J. Healy, M.A. Kutay, H.M. Ozaktas and J.T. Sheridan, Linear Canonical Transforms, Springer, New York 2016.
[14] J.J. Healy and J.T. Sheridan, Sampling and discretization of the linear canonical transform, Signal Process. 89 (2009), 641–648.
[15] H. Huo, Uncertainty Principles for the Offset Linear Canonical Transform, Circuits Syst. Signal Process. 38 (2019), 395–406.
[16] D.F.V. James and G. S. Agarwal, The generalized Fresnel transform and its applications to optics, Opt. Commun. 126 (1996), 207–212.
[17] P. Jaming, Nazarov’s uncertainty principles in higher dimension, J. Approx. Theory 149 (2007) 30–41.
[18] A.A. Khan and K. Ravikumar, Linear canonical curvelet transform and the associated Heisenberg-type inequalities, Int. J. Geomet. Meth. Mod. Phys. 18 (2021), no. 7.
[19] G. Kutyniok and D. Labate, Resolution of the wavefront set using continuous shearlets, Trans. Amer. Math. Soc. 361 (2009), 2719–2754.
[20] J. Li and M.W. Wong, Localization operators for curvelet transforms, J. Pseudo-Differ. Oper. Appl. 3 (2012), 121–143.
[21] M. Moshinsky and C. Quesne, Linear canonical transformations and their unitary representations, J. Math. Phys. 12 (1971), 1772–1780.
[22] D. Mustard, Uncertainty principle invariant under fractional Fourier Transform, J. Aust. Math. Soc. Ser. B 33 (1991), 180–191.
[23] F.L. Nazarov, Local estimates for exponential polynomials and their applications to inequalities of the uncertainty principle type, Algebra Anal. 5 (1993), 3–66.
[24] H.M. Ozaktas, Z. Zalevsky and M.A. Kutay, The fractional Fourier Transform with Applications in Optics and Signal Processing, Wiley, New York, 2000.
[25] S. C. Pei and J. J. Ding, Eigen functions of the offset Fourier, fractional Fourier and linear canonical transform, J. Opt. Soc. Amer. 20 (2003), 522–532.
[26] F.A. Shah and A.Y. Tantary, Non-isotropic angular Stockwell transform and the associated uncertainty principles, Appl. Anal. 100 (2021), 835–859.
[27] K.K. Sharma and S.D. Joshi, Uncertainty principles for real signals in linear canonical transform domains, IEEE Trans. Signal Process. 56 (2008) 2677–2683.
[28] J. Shi, X. Liu and N. Zhang, Generalized convolution and product theorems associated with linear canonical transform, SIViP 8 (2014), 967–974.
[29] A. Stern, Uncertainty principles in linear canonical transform domains and some of their implications in optics, J. Opt. Soc. Am A. 25 (2008), 647–652.
[30] T.Z. Xu and B.Z. Li, Linear Canonical Transform and Its Applications, Science Press, Beijing, China 2013.
[31] A. I. Zayed, Sampling of signals bandlimited to a disc in the linear canonical transform domain, IEEE Signal Process. Lett. 25 (2018), 1765–1769.
[32] Q. Zhang, Zak transform and uncertainty principles associated with linear canonical transform, IET Signal Process. 10 (2016), 791–797.
[33] J. Zhao, R. Tao, Y. Li and Y. Wang, Uncertainty principles for linear canonical transform, IEEE Trans, Signal Process. 57 (2009), 2856–2858.
