Approximation in compact balls by convolution operators of quaternion and paravector variable

zbMath1279.30052MaRDI QIDQ372710

Irene Sabadini, Sorin Gheorghe Gal

Publication date: 21 October 2013

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1378314511

zbMATH Keywords

Clifford algebrasquaternionsslice monogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Approximation in the complex plane (30E10) Rate of convergence, degree of approximation (41A25)

Related Items (7)

Overconvergence of Chebyshev and Legendre expansions in quaternionic ellipsoids ⋮ Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces ⋮ Density of complex and quaternionic polyanalytic polynomials in polyanalytic Fock spaces ⋮ Approximation by convolution polyanalytic operators in the complex and quaternionic compact unit balls ⋮ Polynomial approximation in quaternionic Bloch and Besov spaces ⋮ Quantitative approximations by convolution polynomials in Bergman spaces ⋮ Polynomial approximation in slice regular Fock spaces

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