Uncertainty principles for the windowed Opdam–Cherednik transform
Copyright policy )Uncertainty principles for the windowed Opdam–Cherednik transform
In this paper, we study a few versions of the uncertainty principle for the windowed Opdam–Cherednik transform. In particular, we establish the uncertainty principle for orthonormal sequences, Donoho–Stark's uncertainty principle, Benedicks‐type uncertainty principle, Heisenberg‐type uncertainty principle, and local uncertainty inequality for this transform. We also obtain the Heisenberg‐type uncertainty inequality using the ‐entropy of the windowed Opdam–Cherednik transform.
Donoho-Stark's uncertainty principle, Opdam-Cherednik transform, Heisenberg-type uncertainty inequality, Functional Analysis (math.FA), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics - Functional Analysis, windowed Opdam-Cherednik transform, FOS: Mathematics, Primary 44A15, Secondary 42C20, 33C45, Other transformations of harmonic type, Special integral transforms (Legendre, Hilbert, etc.), Benedicks-type uncertainty principle
Donoho-Stark's uncertainty principle, Opdam-Cherednik transform, Heisenberg-type uncertainty inequality, Functional Analysis (math.FA), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics - Functional Analysis, windowed Opdam-Cherednik transform, FOS: Mathematics, Primary 44A15, Secondary 42C20, 33C45, Other transformations of harmonic type, Special integral transforms (Legendre, Hilbert, etc.), Benedicks-type uncertainty principle
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