Found 256 Documents (Results 1–100)
Novel two-dimensional Wigner distribution and ambiguity function in the framework of the two-dimensional nonseparable linear canonical transform. (English) Zbl 07882355
Linear canonical Bessel operator and wavelet packet. (English) Zbl 1542.42001
Reviewer: Igor Novikov (Voronezh)
Linear canonical Stockwell transform and the associated multiresolution analysis. (English) Zbl 07872029
On estimates for the quaternion linear canonical transform in the space \(L^2 (\mathbb{R}^2, \mathcal{H})\). (English) Zbl 07871653
\(L^p\)-theory of linear canonical transforms and related uncertainty principles. (English) Zbl 07869377
The heat semigroups and uncertainty principles related to canonical Fourier-Bessel transform. (English) Zbl 1539.42005
The Krein transform and semi-bounded extensions of semi-bounded linear relations. (English) Zbl 07833694
Modified ambiguity function and Wigner distribution associated with quadratic-phase Fourier transform. (English) Zbl 1534.94016
Hardy type theorems for linear canonical Dunkl transform. (English) Zbl 07823183
Reviewer: Adhemar Bultheel (Leuven)
Linear canonical Fourier-Bessel wavelet transform: properties and inequalities. (English) Zbl 07816069
Reviewer: Ahmed I. Zayed (Chicago)
Spectrum of quaternion signals associated with quaternion linear canonical transform. (English) Zbl 1537.94028
On estimates for the canonical linear Fourier-Bessel transform in the space \(L^p (\mathbb{R}^+, x^{2_\alpha+1} dx)\) \((1 < p \leq 2)\). (English) Zbl 07832041
Linear canonical Hankel domain based Stockwell transform and associated Heisenberg’s uncertainty principle. (English) Zbl 07822493
Quantum linear key-recovery attacks using the QFT. (English) Zbl 1539.81045
Handschuh, Helena (ed.) et al., Advances in cryptology – CRYPTO 2023. 43rd annual international cryptology conference, CRYPTO 2023, Santa Barbara, CA, USA, August 20–24, 2023. Proceedings. Part V. Cham: Springer. Lect. Notes Comput. Sci. 14085, 258-291 (2023).
Prolate spheroidal wave functions associated with the canonical Fourier-Bessel transform and uncertainty principles. (English) Zbl 1533.42007
Pseudo-differential operator in quaternion space. (English) Zbl 1539.42006
Reviewer: Vishvesh Kumar (Delhi)
Stability estimates for phase retrieval from discrete linear canonical Gabor transformation measurements. (English) Zbl 1529.42032
The two-sided short-time quaternionic offset linear canonical transform and associated convolution and correlation. (English) Zbl 1529.42009
Spectral multiplier theorems for abstract differential operators. (Abstract of thesis). (English) Zbl 1540.47027
Spacetime linear canonical transform and the uncertainty principles. (English) Zbl 1533.44001
Reviewer: Ahmed I. Zayed (Chicago)
Hermite interpolation theorems for band-limited functions of the linear canonical transforms with equidistant samples. (English) Zbl 07751250
MSC:
65D05
\(k\)-ambiguity function in the framework of offset linear canonical transform. (English) Zbl 1521.94011
Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipović and modulation spaces. (English) Zbl 1535.46049
Reviewer: Antonio Galbis (València)
Localization operators and wavelet multipliers involving two-dimensional linear canonical curvelet transform. (English) Zbl 1539.42041
Special affine multiresolution analysis and the construction of orthonormal wavelets in \(L^2(\mathbb{R})\). (English) Zbl 1521.42027
Reviewer: Wayne M. Lawton (Krasnoyarsk)
Scaling Wigner distribution in the framework of linear canonical transform. (English) Zbl 1510.94064
Uncertainty principles for Wigner-Ville distribution associated with the quaternion offset linear canonical transform. (English) Zbl 1510.94035
MSC:
94A11
Canonical potential and \(L^p\)-Sobolev space involving linear canonical Fourier transform. (English) Zbl 1523.43004
Linear canonical deformed Hankel transform and the associated uncertainty principles. (English) Zbl 1522.44005
Two-sided Clifford-valued linear canonical transform: properties and Mustard convolution. (English) Zbl 1512.15026
Quaternion linear canonical \(S\)-transform and associated uncertainty principles. (English) Zbl 1508.42007
Uncertainty principles associated with multi-dimensional linear canonical transform. (English) Zbl 1534.42005
Uncertainty principles associated with quaternion linear canonical transform and their estimates. (English) Zbl 1535.42007
Reviewer: Sergey S. Volosivets (Saratov)
Inversion of the windowed linear canonical transform with Riemann sums. (English) Zbl 1527.42050
MSC:
42C20
Uncertainty principle for the two-sided quaternion windowed linear canonical transform. (English) Zbl 1509.43005
The extrapolation theorem for discrete signals in the offset linear canonical transform domain. (English) Zbl 1509.94037
MSC:
94A12
New two-dimensional Wigner distribution and ambiguity function associated with the two-dimensional nonseparable linear canonical transform. (English) Zbl 1509.94034
MSC:
94A12
Nonuniform dual wavelets associated with linear canonical transform. (English) Zbl 1525.42035
Reviewer: Qiao-Fang Lian (Beijing)
Wigner-Ville distribution and ambiguity function associated with the quaternion offset linear canonical transform. (English) Zbl 1510.43002
Reviewer: Jinsong Wu (Beijing)
Inversion formula for the windowed linear canonical transform. (English) Zbl 1504.42093
Reviewer: Wayne M. Lawton (Krasnoyarsk)
MSC:
42C20
Linear canonical ripplet transform: theory and localization operators. (English) Zbl 1510.42045
Reviewer: Gustaf Gripenberg (Aalto)
Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces. (English) Zbl 1505.46029
Quaternionic linear canonical wave packet transform. (English) Zbl 1496.42012
Reviewer: Manfred Tasche (Rostock)
Generalized uncertainty principles associated with the quaternionic offset linear canonical transform. (English) Zbl 1494.42008
The algebra of \(2D\) Gabor quaternionic offset linear canonical transform and uncertainty principles: the algebra of \(2D\) Gabor quaternionic offset LCT and uncertainty principles. (English) Zbl 1493.42010
Wigner-Ville distribution function in the framework of linear canonical transform. (English) Zbl 1504.43004
Reviewer: Jinsong Wu (Harbin)
Windowed linear canonical transform and its applications to the time-frequency analysis. (English) Zbl 1502.42005
Reviewer: E. K. Narayanan (Bangalore)
Multivariate dynamical sampling in \(I^2(\mathbb{Z}^2)\) and shift-invariant spaces associated with linear canonical transform. (English) Zbl 1492.94046
Multi-dimensional linear canonical transform with applications to sampling and multiplicative filtering. (English) Zbl 1496.42015
Reviewer: Joseph Lakey (Las Cruces)
The wave packet transform in the framework of linear canonical transform. (English) Zbl 1502.53120
Reviewer: Shiv K. Kaushik (Delhi)
Windowed linear canonical transform: its relation to windowed Fourier transform and uncertainty principles. (English) Zbl 1506.42006
On an involution in the class of non-negative Hermitian matrix measures on a compact interval. (English) Zbl 1498.44010
Reviewer: Hamza El Azhar (El Jadida)
Erratum to: “The Wigner-Ville distribution associated with the quaternion offset linear canonical transform”. (English) Zbl 1499.42026
Quantitative uncertainty principles for the canonical Fourier-Bessel transform. (English) Zbl 1509.44004
Linear canonical Curvelet transform and the associated Heisenberg-type inequalities. (English) Zbl 07830887
A novel sub-Nyquist FRI sampling and reconstruction method in linear canonical transform domain. (English) Zbl 1509.94035
MSC:
94A12
Wavelet packets associated with linear canonical transform on spectrum. (English) Zbl 1487.42080
Reviewer: Bin Han (Edmonton)
Linear canonical wavelet transform: properties and inequalities. (English) Zbl 1489.42002
Reviewer: Fritz Keinert (Ames)
Asymptotic series of a general symbol and pseudo-differential operators involving the Kontorovich-Lebedev transform. (English) Zbl 1494.44005
Nonuniform multiresolution analysis associated with linear canonical transform. (English) Zbl 1481.42046
Reviewer: Haydar Akca (Abu Dhabi)
Uncertainty principles for the two-sided offset quaternion linear canonical transform. (English) Zbl 1479.42030
Pseudo-differential operator in the framework of linear canonical transform domain. (English) Zbl 1487.46040
A new convolution operator for the linear canonical transform with applications. (English) Zbl 1476.44003
Truncation error estimates for two-dimensional sampling series associated with the linear canonical transform. (English) Zbl 1472.94041
A framework of linear canonical transform on pseudo-differential operators and its application. (English) Zbl 1473.35673
An interplay between parameter \((p, q)\)-Boas transform and linear canonical transform. (English) Zbl 1484.44003
Reviewer: Deshna Loonker (Jodhpur)
A variation on uncertainty principles for quaternion linear canonical transform. (English) Zbl 1470.42011
Abelian theorems and Calderón’s reproducing formula for linear canonical wavelet transform. (English) Zbl 1477.46046
Reviewer: Antonio Galbis (Valencia)
On uncertainty principle for the two-sided quaternion linear canonical transform. (English) Zbl 1465.42013
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