TY  - JOUR 
AU  - Marriaga, Misael E.
AU  - Pérez Fernández, Teresa Encarnación
AU  - Recarte, Marlon J.
PY  - 2023
UR  - https://hdl.handle.net/10481/85368
AB  - We study the orthogonal structure on the unit ball Bd of Rd
with respect to the Sobolev inner products
 f, g 
Δ = λL(f, g) +
 
Bd
Δ[(1 −  x 2)f(x)] Δ[(1 −  x 2)g(x)] dx,
where L(f, g) =
 
Sd−1 f(ξ) g(ξ) dσ(ξ) or L(f, g) = f(0)g(0), λ > 0,
σ...
LA  - eng
PB  - Springer Nature
KW  - Approximation on the ball
KW  - Inner product via Laplacians
KW  - Fourier expansions
TI  - Simultaneous Approximation via Laplacians on the Unit Ball
DO  - 10.1007/s00009-023-02509-9
ER  -