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Title: Whittaker transform on distributions
Author: Rodrigues, M. M.
Vieira, N.
Keywords: Testing-functions spaces
Index Whittaker transform
Whittaker functions
Special functions
Issue Date: Apr-2015
Publisher: Springer
Abstract: 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.
Peer review: yes
DOI: 10.1007/s13226-015-0127-6
ISSN: 0019-5588
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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