Artículo
Pinasco, D. "Lp-representable functions on Banach spaces" (2007) Journal of Mathematical Analysis and Applications. 335(1):480-497
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Abstract:
In this paper we discuss the problem of integral representation of analytic functions over a complex Banach space E. We define the class of Lp-representable and ρ-representable functions and prove that they verify some growth conditions. The aim of this work is to characterize these classes of functions. It is also shown that it is possible to give an alternative representation for integral polynomials over a Hilbert space H using a universal Wiener measure. © 2007 Elsevier Inc. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Lp-representable functions on Banach spaces |
| Autor: | Pinasco, D. |
| Filiación: | Departamento de Matemática, FCEN - Universidad de Buenos Aires, Guiraldes 2160, Ciudad Univ., Pab. I, C1428EGA Buenos Aires, Argentina |
| Palabras clave: | Cauchy integral formula; Gaussian measures; Holomorphic functions; Integral representation |
| Año: | 2007 |
| Volumen: | 335 |
| Número: | 1 |
| Página de inicio: | 480 |
| Página de fin: | 497 |
| DOI: | http://dx.doi.org/10.1016/j.jmaa.2007.01.088 |
| Título revista: | Journal of Mathematical Analysis and Applications |
| Título revista abreviado: | J. Math. Anal. Appl. |
| ISSN: | 0022247X |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v335_n1_p480_Pinasco.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v335_n1_p480_Pinasco |
Referencias:
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- Dineen, S., Holomorphy types on a Banach space (1971) Studia Math., 39, pp. 241-288
- Dineen, S., (1999) Complex Analysis on Infinite Dimensional Spaces, , Springer-Verlag, London
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- Kuo, H.-H., Gaussian Measures in Banach Spaces (1975) Lecture Notes in Math., 463. , Springer-Verlag, Heidelberg
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- Lopushansky, O., Zagorodnyuk, A., Hilbert spaces of analytic functions of infinitely many variables (2003) Ann. Polon. Math., 81 (2), pp. 111-122
- Pinasco, D., Zalduendo, I., Integral representation of holomorphic functions on Banach spaces (2005) J. Math. Anal. Appl., 308, pp. 159-174
- Reed, M., Simon, B., (1972) Methods of Modern Mathematical Physics, , Academic Press, Inc., New York
- Skorokhod, A.V., (1974) Integration in Hilbert Space, , Springer-Verlag, Heidelberg
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Citas:
---------- APA ----------
(2007) . Lp-representable functions on Banach spaces. Journal of Mathematical Analysis and Applications, 335(1), 480-497.http://dx.doi.org/10.1016/j.jmaa.2007.01.088
---------- CHICAGO ----------
Pinasco, D. "Lp-representable functions on Banach spaces" . Journal of Mathematical Analysis and Applications 335, no. 1 (2007) : 480-497.http://dx.doi.org/10.1016/j.jmaa.2007.01.088
---------- MLA ----------
Pinasco, D. "Lp-representable functions on Banach spaces" . Journal of Mathematical Analysis and Applications, vol. 335, no. 1, 2007, pp. 480-497.http://dx.doi.org/10.1016/j.jmaa.2007.01.088
---------- VANCOUVER ----------
Pinasco, D. Lp-representable functions on Banach spaces. J. Math. Anal. Appl. 2007;335(1):480-497.http://dx.doi.org/10.1016/j.jmaa.2007.01.088
