scientific article; zbMATH DE number 757836
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Publication:4833877
zbMath0836.43012MaRDI QIDQ4833877
Publication date: 29 April 1996
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fourier transformBochner theoremhypergroupsconvolution algebraspolynomial hypergroupstranslation operatorshypercomplex systemsLaguerre convolutionlocally compact Hausdorff spacessigned hypergroupsinduced translation operatorsWildberger's finite signed hypergroups
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic analysis on hypergroups (43A62) Measure algebras on groups, semigroups, etc. (43A10) Character groups and dual objects (43A40)
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Quantitative uncertainty principles associated with the \(k\)-generalized Stockwell transform ⋮ On the dual of a commutative signed hypergroup ⋮ Trigonometric convolution structures on \(\mathbb{Z}\) derived from Jacobi polynomials ⋮ Norm inequalities for maximal operators ⋮ Translation operator and maximal function for the \((k,1)\)-generalized Fourier transform ⋮ Generalized translation operator and uncertainty principles associated with the deformed Stockwell transform ⋮ Compactly bounded convolutions of measures ⋮ A Hardy-Littlewood maximal operator for the generalized Fourier transform on \(\mathbb{R}\) ⋮ A product formula and a convolution structure for a \(k\)-Hankel transform on \(\mathbb{R}\) ⋮ Estimates of functionals by generalized moduli of continuity generated by the Dunkl operators ⋮ Estimates of functionals by deviations of Steklov type averages generated by Dunkl type operators ⋮ \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\) and its applications to the reproducing kernel theory
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