On connections between Hankel, Laguerre and Jacobi transplantations.

DOI10.2748/tmj/1113247646zbMath1040.42022OpenAlexW2057022191MaRDI QIDQ1872826

Krzystztof Stempak

Publication date: 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113247646

zbMATH Keywords

Hankel transformHankel transplantationLaguerre and Jacobi expansions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Integral transforms of special functions (44A20)

Related Items (11)

A generalization of the Hankel transform and the Lorentz multipliers ⋮ Weighted estimates for the Hankel transform transplantation operator ⋮ Sharp Hardy's inequality for Jacobi and symmetrized Jacobi trigonometric expansions ⋮ Transference of \(L_p\) bounds between symmetrized Jacobi expansions and Dunkl transform ⋮ Characterizations of Hankel multipliers ⋮ Transferring boundedness from conjugate operators associated with Jacobi, Laguerre, and Fourier-Bessel expansions to conjugate operators in the Hankel setting ⋮ Analyticity of the Schrödinger propagator on the Heisenberg group ⋮ Relating multipliers and transplantation for Fourier-Bessel expansions and Hankel transform ⋮ Transplantation theorems -- a survey ⋮ A local central limit theorem on the Laguerre hypergroup ⋮ Transplantation and multiplier theorems for Fourier-Bessel expansions

Cites Work

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• Transplantation, summability and multipliers for multiple Laguerre expansions
• A transplantation theorem for Laguerre series
• On weighted transplantation and multipliers for Laguerre expansions
• Transplanting maximal inequalities between Laguerre and Hankel multipliers
• A transplantation theorem for Jacobi series
• On the multipliers of Hankel transform
• Hankel Multiplier Transformations and Weighted p-Norms
• Transplantation theorems and multiplier theorems for Jacobi series
• Convergence and Divergence Almost Everywhere of Spherical Means for Radial Functions
• On Connections Between Hankel, Laguerre and Heisenberg Multipliers
• Mean Convergence of Hermite and Laguerre Series. I
• Explicit Integral Transform Proofs of Some Transplantation Theorems for the Hankel Transform

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