Artículo
Aguirre, M.A.; Rébora, E.A. "The fourier transform of P+ λ and P- λ" (2015) International Journal of Pure and Applied Mathematics. 105(2):281-296
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Abstract:
We know from([5],page284) that the Fourier transform of P+ λ and P- λ are given by the formulae(4) and(5) respectively. In this article using another method we obtain the Fourier transform of P+ λ and P- λ, where P = P(x) is defined by(1), P+ λ by(8) and P- λ by(9). We prove that our formulae (44) and (82) are equivalent to formulae (4) and (5) respectively. © 2015 Academic Publications, Ltd.
Registro:
| Documento: | Artículo |
| Título: | The fourier transform of P+ λ and P- λ |
| Autor: | Aguirre, M.A.; Rébora, E.A. |
| Filiación: | Núcleo Consolidado de Matemática Pura y Aplicada, Facultad de Ciencias Exactas, Universidad Nacional del Centro, Buenos Aires, Argentina |
| Palabras clave: | Distributions; Fourier transform; Ultrahyperbolic kernel |
| Año: | 2015 |
| Volumen: | 105 |
| Número: | 2 |
| Página de inicio: | 281 |
| Página de fin: | 296 |
| DOI: | http://dx.doi.org/10.12732/ijpam.v105i2.13 |
| Título revista: | International Journal of Pure and Applied Mathematics |
| Título revista abreviado: | Int. J. Pure Appl. Math. |
| ISSN: | 13118080 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_13118080_v105_n2_p281_Aguirre |
Referencias:
- Schwartz, L., Métodos Matemáticos Aplicados a las Ciencias Físicas (1969) Selecciones Científicas, , Torres Quevedo, 7-9, Madrid
- Gradshetyn, I.S., Ryzhik, I.M., (1980) Table of Inthegrals, Series and Products, , Academic Press, Inc
- (1954) Tables of Integral Transform, 2. , McGraw-Hill, New York
- Erdelyi, A., (1953) Higher Trascendental Functions, 1. , McGraw-Hill, New York
- Gelfand, I.M., Shilov, G.E., (1964) Generalized Functions, , Academic Press
- Bochner, (1932) Verlesungen Über Fouriersche Integrale, , Leipzig
Citas:
---------- APA ----------
Aguirre, M.A. & Rébora, E.A. (2015) . The fourier transform of P+ λ and P- λ. International Journal of Pure and Applied Mathematics, 105(2), 281-296.http://dx.doi.org/10.12732/ijpam.v105i2.13
---------- CHICAGO ----------
Aguirre, M.A., Rébora, E.A. "The fourier transform of P+ λ and P- λ" . International Journal of Pure and Applied Mathematics 105, no. 2 (2015) : 281-296.http://dx.doi.org/10.12732/ijpam.v105i2.13
---------- MLA ----------
Aguirre, M.A., Rébora, E.A. "The fourier transform of P+ λ and P- λ" . International Journal of Pure and Applied Mathematics, vol. 105, no. 2, 2015, pp. 281-296.http://dx.doi.org/10.12732/ijpam.v105i2.13
---------- VANCOUVER ----------
Aguirre, M.A., Rébora, E.A. The fourier transform of P+ λ and P- λ. Int. J. Pure Appl. Math. 2015;105(2):281-296.http://dx.doi.org/10.12732/ijpam.v105i2.13
