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LAGUERRE EXPANSIONS AND PRODUCTS OF DISTRIBUTIONS
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 Title & Authors
LAGUERRE EXPANSIONS AND PRODUCTS OF DISTRIBUTIONS
Catuogno, Pedro; Martinez, Federico; Molina, Sandra;
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 Abstract
In this paper we introduce two products of tempered distributions with positive support. These products are based in the Laguerre representation of distributions. We calculate some products as, $[{\delta}]x^{\lambda}_+
 Keywords
product of distributions;tempered distributions with positive support;Laguerre functions;
 Language
English
 Cited by
 References
1.
P. Catuogno, S. Molina, and C. Olivera, On Hermite espansions and products of tempered distributions, Integral Transform and Special Functions 18 (2007), 233-244 crossref(new window)

2.
A. Duran, Laguerre expansions of tempered distributions and generalized functions, Journal of Mathematical Analysis and its Applications 150 (1990), 166-180 crossref(new window)

3.
M. Guillemot-Teissiers, Developpments des distributions en series de fonctions orthogonales: Series de Legendre et de Laguerre, Ann. Scuola Norm. Sup. Pisa (3) 25 (1971), 519-573

4.
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, 1994

5.
N. Lebedev, Special Function and their Applications, Dover Publications, 1972

6.
M. Oberguggenberger, Multiplication of Distributions and Applications to Partial Differential Equations, Pitman Research Notes in Math. Series 259. Ed Longman Science and Technology, 1993

7.
N. Saad and R. Hall, Closed-form Sums for Some Pertubations Series Involving Hypergeometric Functions, Journal of Physics A: Mathematical and General 35 (2002), 4105-4123 crossref(new window)

8.
L. Schwartz, Theorie des Distributions. Hermann, Paris, 1966

9.
L. Schwartz Sur l'impossibilite de la multiplication des distributions, C. R. Acad. Sci. Paris 239 (1954), 847-848

10.
S. Thangavelu, Lectures on Hermite and Laguerre Expansions, Princeton University Press, 1993