Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/14593
 Title: Whittaker transform on distributions Author: Rodrigues, M. M.Vieira, N. Keywords: Testing-functions spacesDistributionsIndex Whittaker transformWhittaker functionsSpecial 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 URI: http://hdl.handle.net/10773/14593 DOI: 10.1007/s13226-015-0127-6 ISSN: 0019-5588 Appears in Collections: CIDMA - ArtigosFAAG - Artigos

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