Artículo
Abstract:
The fundamental space ζ is defined as the set of entire analytic functions [test functions φ(z)], which are rapidly decreasing on the real axis. The variable z corresponds to the complex energy plane. The conjugate or dual space ζ′ is the set of continuous linear functionals (distributions) on ζ. Among those distributions are the propagators, determined by the poles implied by the equations of motion and the contour of integration implied by the boundary conditions. All propagators can be represented as linear combinations of elementary (one pole) functionals. The algebra of convolution products is also determined. The Fourier transformed space ζ̃ contains test functions φ̃(x). These functions are extra-rapidly decreasing, so that the exponentially increasing solutions of higher-order equations are distributions on ζ̃. © 1994 American Institute of Physics.
Registro:
| Documento: | Artículo |
| Título: | Space of test functions for higher-order field theories |
| Autor: | Bollini, C.G.; Oxman, L.E.; Rocca, M. |
| Filiación: | Comisión de Investigaciones Científicas de la Provincia de Buenos Aires, Argentina Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria 1428, Buenos Aires, Argentina Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Argentina |
| Año: | 1994 |
| Volumen: | 35 |
| Número: | 9 |
| Página de inicio: | 4429 |
| Página de fin: | 4438 |
| DOI: | http://dx.doi.org/10.1063/1.530862 |
| Título revista: | Journal of Mathematical Physics |
| ISSN: | 00222488 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00222488_v35_n9_p4429_Bollini.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v35_n9_p4429_Bollini |
Referencias:
- Wightman, A.S., (1956) Phys. Rev., 101, p. 860
- Schwartz, L., (1959) Theorie des Distributions, , (Hermann, Paris)
- Streater, R.F., Wightman, A.S., (1964) PCT, Spin and Statistics, and all that, , (Benjamin, New York)
- Bogolubov, N.N., Logunov, A.A., Todorov, I.T., (1975) Axiomatic Quantum Field Theory, , (Benjamin, New York)
- Gel’fand, I.M., Shilov, G.E., (1968) Generalized functions, II. , Academic, New York, Chap. IV, Sec. 2.1
- Reference 5, Chap. IV, Secs. 2.2 and 6.2
- Sebastião e Silva, J., (1958) Math. Ann., 136, p. 58
- Hasumi, M., (1961) Tôhoku Math. J., 13, p. 94
- Morimoto, M., (1975) Lect. Notes Phys., 39, p. 49
- Morimoto, M., (1975) Proc. Jpn. Acad., 51, pp. 87-213
- Reference 5, Chap. IV, Sec. 3.2
- Reference 5, Chap. III, Sec. 2.1
- Gel’fand, I.M., Shilov, G.E., (1968) Generalized functions, I. , Academic, New York, Chap. II, Sec. 1.5
- Barci, D.G., Bollini, C.G., Rocca, M., (1993) Nuovo Cimento. A, 106, p. 603
- Bollini, C.G., Oxman, L.E., (1992) Int. J. Mod. Phys. A, 7, p. 6845
- Barci, D.G., Bollini, C.G., Rocca, M., Tachyons and Higher Order Equations (1991) preprint, U.N.L.P.
- Bollini, C.G., Oxman, L.E., (1993) Int. J. Mod. Phys. A, 8, p. 3185
- Reference 13, Chap. I, Sec. 5.2
- Gradshteyn, I.S., Ryzhik, I.M., (1965) Table of Integrals, Series and Products, , (Academic, New York)
- Erdelyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G., (1953) Integral Transforms (Bateman Project), , (McGraw-Hill, New York)
Citas:
---------- APA ----------
Bollini, C.G., Oxman, L.E. & Rocca, M. (1994) . Space of test functions for higher-order field theories. Journal of Mathematical Physics, 35(9), 4429-4438.http://dx.doi.org/10.1063/1.530862
---------- CHICAGO ----------
Bollini, C.G., Oxman, L.E., Rocca, M. "Space of test functions for higher-order field theories" . Journal of Mathematical Physics 35, no. 9 (1994) : 4429-4438.http://dx.doi.org/10.1063/1.530862
---------- MLA ----------
Bollini, C.G., Oxman, L.E., Rocca, M. "Space of test functions for higher-order field theories" . Journal of Mathematical Physics, vol. 35, no. 9, 1994, pp. 4429-4438.http://dx.doi.org/10.1063/1.530862
---------- VANCOUVER ----------
Bollini, C.G., Oxman, L.E., Rocca, M. Space of test functions for higher-order field theories. 1994;35(9):4429-4438.http://dx.doi.org/10.1063/1.530862
