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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Generalized functions and Laguerre expansions

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Catuogno, Pedro ; Molina, Sandra ; Olivera, C.
Total Authors: 3
Document type: Journal article
Source: MONATSHEFTE FUR MATHEMATIK; v. 184, n. 1, p. 51-75, SEP 2017.
Web of Science Citations: 0

In this paper we study and characterize expansions of distributions in the Zemanian spaces, H-mu and its dual H'(mu) (mu >= -1/2) with respect to Laguerre functions. We obtain as applications of this result, the kernel Theorem and a structure Theorem for H'(mu). We also introduce a new algebra of generalized functions in the sense of J. F. Colombeau such that it satisfies interesting properties involving the Hankel transformation and Hankel convolution. (AU)

FAPESP's process: 15/07278-0 - Stochastic dynamics: analytical and geometrical aspects with applications
Grantee:Paulo Regis Caron Ruffino
Support type: Research Projects - Thematic Grants
FAPESP's process: 15/04723-2 - Topics in stochastic partial diferential equations
Grantee:Christian Horacio Olivera
Support type: Regular Research Grants