TY  - JOUR
AU  - Betancor, J.J.
AU  - Ciaurri, O.
AU  - Martinez, T.
AU  - Perez, M.
AU  - Torrea, J.L.
AU  - Varona, J.L.
KW  - Fourier-Neumann expansions
KW  - Fractional integrals
KW  - Heat semigroup
KW  - Poisson semigroup
KW  - Riesz potentials
T1  - Heat and Poisson semigroups for Fourier-Neumann expansions
LA  - eng
PY  - 2006
SP  - 129
EP  - 142
T2  - Semigroup Forum
SN  - 0037-1912
VL  - 73
IS  - 1
AB  - Given α > -1, consider the second order differential operator in (0, ∞) Lα ≡ (x2d2/dx 2 + (2α + 3)xd/dx + x2 + (α + 1) 2)(f), which appears in the theory of Bessel functions. The purpose of this paper is to develop the corresponding harmonic analysis taking L α as the analogue to the classical Laplacian. Namely we study the boundedness properties of the heat and Poisson semigroups. These boundedness properties allow us to obtain some convergence results that can be used to solve the Cauchy problem for the corresponding heat and Poisson equations. © Springer 2006.
DO  - 10.1007/S00233-006-0611-8
UR  - https://portalciencia.ull.es/documentos/5bbc69c7b750603269e8214c
DP  - Dialnet - Portal de la Investigación
ER  -