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Laguerre expansions and products of distributions

Sandra Molina|Pedro Catuogno|Federico Martinez
대한수학회 (The Korean Mathematical Society)|2008.04|대한수학회논문집 (Communications of the KMS)|제23권 제2호|pp. 201-209

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참고문헌

키워드

product of distributionstempered distributions with positive supportLaguerre functions.
주제분류수학

초록

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, [수식] for appropriate λ and μ.

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, [수식] for appropriate λ and μ.

참고문헌 (10)

  1. P. Catuogno, "On Hermite espansions and products of tempered distributions", Integral Transform and Special Functions, 18, pp.233~244 (2007)
  2. A. Duran, "Laguerre expansions of tempered distributions and generalized functions", Journal of Mathematical Analysis and its Applications, 150, pp.166~180 (1990)
  3. M. Guillemot-Teissiers, "D´eveloppments des distributions en s´eries de fonctions orthogonales: S´eries de Legendre et de Laguerre", Ann. Scuola Norm. Sup. Pisa, 25(3), pp.519~573 (1971)
  4. I. S. Gradshteyn, "Table of Integrals, Series, and Products" (1994), Academic Press
  5. N. Lebedev, "Special Function and their Applications" (1972), Dover Publications
  6. M. Oberguggenberger, "Multiplication of Distributions and Applications to Partial Differential Equations", Pitman Research Notes in Math. Series, 259 (1993), Longman Science and Technology
  7. N. Saad, "Closed-form Sums for Some Pertubations Series Involving Hypergeometric Functions", Journal of Physics A: Mathematical and General, 35, pp.4105~4123 (2002)
  8. L. Schwartz, "Th´eorie des Distributions" (1966), Hermann
  9. L. Schwartz, "Sur l‘impossibilit´e de la multiplication des distributions", C. R. Acad. Sci. Paris, 239, pp.847~848 (1954)
  10. S. Thangavelu, "Lectures on Hermite and Laguerre Expansions" (1993), Princeton University Press

관련 논문AI추천

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