Abstract:
In this article, we prove several formulas about the interchange between the product and the convolution of the n-dimensional Hankel transforms. In fact, we obtain the following formulas: (Equation Presented).
Referencias:
- Titchmarsh, E.C., (1948) Introduction to the Theory of Fourier Integrals, , Oxford, Clarendon Press
- Zemanian, A.H., (1968) Generalized Integral Transformations, , Interscience, New York
- González Domínguez, A., (1972), Ph.D. thesis of S.E. Trione. Append. I, FCEyN - UBA, Buenos Aires, Argentina; Aguirre Téllez, M., The Hankel Transform of the K-th Derivative of Dirac Delta in U(x 1, X2...,xn), , To appear
- Leray, J., Hyperbolic differential equations (1957) The Institute for Advanced Study, , Princeton, New Jersey, USA
- Gelfand, I.M., Shilov, G.E., (1964) Generalized Functions, 1. , Academic Press, New York
- Trione, S.E., Transformadas de Laplace de funciones retardadas-invariantes Lorentz. Fasc. 33 (1985) Cursos Y Seminarios de Matemática, , FCEyN - UBA
- Schwanz, L., (1966) Théorie des Distributions, , Hermann, Paris
- Aguirre Téllez, M.A., Cerutti, R.A., Trione, S.E., Tables of Fourier, Laplace and Hankel Transforms of n-Dimensional Generalized Functions (1997) Acta Applicandae Mathematicae, 48 (3), pp. 235-284. , USA
- Trione, S.E., (1980) Distributional Products. Cursos de Matemática, 3. , IAM - CONICET, Buenos Aires, Argentina
Citas:
---------- APA ----------
(2004)
. Interchange between product and convolution of n-dimensional distributional Hankel transforms. Integral Transforms and Special Functions, 15(6), 549-555.
http://dx.doi.org/10.1080/1065246042000271947---------- CHICAGO ----------
Trione, S.E.
"Interchange between product and convolution of n-dimensional distributional Hankel transforms"
. Integral Transforms and Special Functions 15, no. 6
(2004) : 549-555.
http://dx.doi.org/10.1080/1065246042000271947---------- MLA ----------
Trione, S.E.
"Interchange between product and convolution of n-dimensional distributional Hankel transforms"
. Integral Transforms and Special Functions, vol. 15, no. 6, 2004, pp. 549-555.
http://dx.doi.org/10.1080/1065246042000271947---------- VANCOUVER ----------
Trione, S.E. Interchange between product and convolution of n-dimensional distributional Hankel transforms. Integr. Transforms Spec. Funct. 2004;15(6):549-555.
http://dx.doi.org/10.1080/1065246042000271947