Artículo
Trione, S.E. "On the multiplicative products of the n-dimensional distributional Hankel transforms" (2004) Applied Mathematics and Computation. 154(1):211-217
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Abstract:
The multiplicative products of n-dimensional Hankel transforms are described. A non-degenerate quadratic form in n variables is considered. Two distributions are considered such as P+λ and P -λ. The theorem of identity for Hankel transforms was also taken into account. The multiplicative product of the Hankel transform of the kth derivative of the Dirac delta in P(x) is obtained.
Registro:
| Documento: | Artículo |
| Título: | On the multiplicative products of the n-dimensional distributional Hankel transforms |
| Autor: | Trione, S.E. |
| Filiación: | Department of Mathematics, Fac. de Cie. Exactas y Naturales-UBA, Inst. Argentino de Mat.-CONICET, Saavedra 15-3er., Piso-(1058), Buenos Aires, Argentina |
| Palabras clave: | Bessel functions; Boundary value problems; Integral equations; Mathematical models; Set theory; Theorem proving; Dirac delta; Euclidean space; Hankel transforms; Multiplicative products; Mathematical transformations |
| Año: | 2004 |
| Volumen: | 154 |
| Número: | 1 |
| Página de inicio: | 211 |
| Página de fin: | 217 |
| DOI: | http://dx.doi.org/10.1016/S0096-3003(03)00704-5 |
| Título revista: | Applied Mathematics and Computation |
| Título revista abreviado: | Appl. Math. Comput. |
| ISSN: | 00963003 |
| CODEN: | AMHCB |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00963003_v154_n1_p211_Trione |
Referencias:
- Titchmarsh, E.C., (1948) Introduction to the Theory of Fourier Integrals, , Oxford: Clarendon Press
- Zemanian, A.H., (1968) Generalized Integral Transformations, , New York: Interscience
- González Domínguez, A., (1972), Ph.D. thesis of S.E. Trione. Append. I, FCEyN-UBA, Buenos Aires, Argentina; 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., Distributional products (1980) Cursos de Matemática, 3. , IAM-CONICET, Buenos Aires, Argentina
- Aguirre Téllez, M., The Hankel Transform of the kth Derivative of Dirac Delta in u(x 1,x2,⋯,xn), , in press
- Leray, J., (1957) Hyperbolic Differential Equations, , Princeton, New Jersey, USA: The Institute for Advanced Study
- Gelfand, I.M., Shilov, G.E., (1964) Generalized Functions, 1. , New York: Academic Press
Citas:
---------- APA ----------
(2004) . On the multiplicative products of the n-dimensional distributional Hankel transforms. Applied Mathematics and Computation, 154(1), 211-217.http://dx.doi.org/10.1016/S0096-3003(03)00704-5
---------- CHICAGO ----------
Trione, S.E. "On the multiplicative products of the n-dimensional distributional Hankel transforms" . Applied Mathematics and Computation 154, no. 1 (2004) : 211-217.http://dx.doi.org/10.1016/S0096-3003(03)00704-5
---------- MLA ----------
Trione, S.E. "On the multiplicative products of the n-dimensional distributional Hankel transforms" . Applied Mathematics and Computation, vol. 154, no. 1, 2004, pp. 211-217.http://dx.doi.org/10.1016/S0096-3003(03)00704-5
---------- VANCOUVER ----------
Trione, S.E. On the multiplicative products of the n-dimensional distributional Hankel transforms. Appl. Math. Comput. 2004;154(1):211-217.http://dx.doi.org/10.1016/S0096-3003(03)00704-5
