TY: JOUR
T1 - Whittaker transform on distributions
A1 - Rodrigues, M. M.
A1 - Vieira, N.
N2 - The aim of this paper is to construct a testing function space equipped with the topology generated by the L_{v,p}-multinorm of the differential operator
Bx = -4x^2 d^2/dx^2- 1 + x^2 -ux, where u < 1/2, v>0, p in [1, infinity[, and its k-iterates B^k_x where k = 0, 1,..., and B^0_x phi=phi. We also introduce the correspondent dual space for the index Whittaker transform on distributions. The existence, uniqueness, imbedding and inversion properties are investigated.
UR - https://ria.ua.pt/handle/10773/14593
Y1 - 2015
PB - Springer