Gabor Transform Associated with the Dunkl–Bessel Transform and Spectrograms
Time–frequency (or space–phase) analysis plays a key role in signal analysis. In particular, signals that have a very concentrated time–frequency content are of great importance. However, the uncertainty principle sets a limitation to the possible simultaneous concentration of a function and its Dunkl–Bessel transform.
Saifallah Ghobber +2 more
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This study investigates how three palaeo‐depositional systems situated in the Swiss Molasse basin (North to the Central European Alps; details in Fig. 1) record the tecto‐geomorphic and climatic boundary conditions of the source area through Oligo‐Miocene times.
Philippos Garefalakis +4 more
wiley +1 more source
Pitt's inequalities and uncertainty principle for generalized Fourier transform
We study the two-parameter family of unitary operators \[ \mathcal{F}_{k,a}=\exp\Bigl(\frac{i\pi}{2a}\,(2\langle k\rangle+{d}+a-2 )\Bigr) \exp\Bigl(\frac{i\pi}{2a}\,\Delta_{k,a}\Bigr), \] which are called $(k,a)$-generalized Fourier transforms and ...
Gorbachev, Dmitry +2 more
core
Riesz transform and Riesz potentials for Dunkl transform
Analogous of Riesz potentials and Riesz transforms are defined and studied for the Dunkl transform associated with a family of weighted functions that are invariant under a reflection group. The $L^p$ boundedness of these operators is established in certain cases.
Thangavelu, Sundaram, Xu, Yuan
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Exact solutions of [Formula: see text]-dependent Schrödinger equation with quantum pseudo-harmonic oscillator and its applications for the thermodynamic properties in normal and superstatistics. [PDF]
Okorie US +7 more
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Dunkl-Gabor transform and time-frequency concentration [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Implementing cell-free DNA of pancreatic cancer patient-derived organoids for personalized oncology. [PDF]
Dantes Z +46 more
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Approaching Bilinear Multipliers via a Functional Calculus. [PDF]
Wróbel B.
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A Refinement of the Robertson-Schrödinger Uncertainty Principle and a Hirschman-Shannon Inequality for Wigner Distributions. [PDF]
Dias NC, de Gosson MA, Prata JN.
europepmc +1 more source
Improved estimates for the triangle inequality. [PDF]
Minculete N, Păltănea R.
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