Reconstruction and best approximate inversion formulas for the Sturm-Liouville-Stockwell transform

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral transforms of special functions (44A20) General integral transforms (44A05)

Cites Work

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Extremal functions on Sturm-Liouville hypergroups
Theory of reproducing kernels and applications
Transformation intégrale de Weyl et théorème de Paley-Wiener associes à un opérateur différentiel singulier sur \((0,\infty)\)
Heisenberg inequalities for Jacobi transforms
Heisenberg uncertainty principle on Chébli-Trimèche hypergroups
A generalization of Miyachi's theorem
Calderón's formula associated with a differential operator on \((0,\infty)\) and inversion of the generalized Abel transform
Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
Sobolev-type spaces on the dual of the Chébli-Trimèche hypergroup and applications
The central limit theorem for Chébli-Trimèche hypergroups
New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
Uncertainty principles for the Hankel-Stockwell transform
The convolution structure for Jacobi function expansions
Best approximation, Tikhonov regularization and reproducing kernels
On the product formula and convolution associated with the index Whittaker transform
\(\mathsf{L}^{\mathsf {p}}\) local uncertainty inequality for the Sturm-Liouville transform
Local uncertainty principle for the Hankel transform
Uncertainty principle and (L^p,L^q)sufficient pairs on Chébli–Trimèche hypergroups
Fourier Multipliers for L ^p on Chébli-Trimèche Hypergroups
Fourier–Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in L₂ metric: Nikol'skii–Besov type function spaces
UNCERTAINTY PRINCIPLES FOR THE AMBIGUITY FUNCTION
Lévy processes with respect to the Whittaker convolution
Théoreme de Paley-Wiener associe à un opérateur différentiel singulier sur \((0,+\infty)\)

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