Artículo
Pinasco, D.; Zalduendo, I. "Integral representation of holomorphic functions on Banach spaces" (2005) Journal of Mathematical Analysis and Applications. 308(1):159-174
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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 obtain, for a wide class of functions, integral representations of the form f (x) = ∫E′ eγ(x) f1 (γ) dW(γ) and f(x) = ∫E′ 1/1 - γ(x)/∥γ∥ f2(γ) dW(γ), where W is an abstract Wiener measure on E′ and f1, f2 are transformations of f involving the covariance operator of W. © 2004 Elsevier Inc. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Integral representation of holomorphic functions on Banach spaces |
| Autor: | Pinasco, D.; Zalduendo, I. |
| Filiación: | Departamento de Matemática, FCEN, Universidad de Buenos Aires, Guiraldes 2160, C1428EGA Buenos Aires, Argentina Departamento de Matemática, Universidad Torcuato Di Tella, Miñones 2177, C1428ATG Buenos Aires, Argentina |
| Palabras clave: | Cauchy integral formula; Gaussian measures; Integral representation |
| Año: | 2005 |
| Volumen: | 308 |
| Número: | 1 |
| Página de inicio: | 159 |
| Página de fin: | 174 |
| DOI: | http://dx.doi.org/10.1016/j.jmaa.2004.11.031 |
| 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_v308_n1_p159_Pinasco.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v308_n1_p159_Pinasco |
Referencias:
- Aron, R., Berner, P., A Hahn-Banach extension theorem for analytic mappings (1978) Bull. Soc. Math. France, 106, pp. 3-24
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- Dimant, V., Galindo, P., Maestre, M., Zalduendo, I., Integral holomorphic functions (2004) Studia Math., 160, pp. 83-99
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- Gross, L., Abstract Wiener spaces (1965) Proc. 5th Berkeley Symp. Math. Stat. and Probab. 2, (PART 1), pp. 31-42
- Kuo, H.-H., Gaussian Measures in Banach Spaces (1975) Lecture Notes in Math, 463. , Heidelberg: Springer-Verlag
- Lopushansky, O., Zagorodnyuk, A., Hilbert spaces of analytic functions of infinitely many variables (2003) Ann. Polon. Math., 81, pp. 111-122
- Skorokhod, A.V., (1974) Integration in Hilbert Space, , Heidelberg: Springer-Verlag
- Zalduendo, I., A canonical extension for analytic functions on Banach spaces (1990) Trans. Amer. Math. Soc., 320, pp. 747-763
Citas:
---------- APA ----------
Pinasco, D. & Zalduendo, I. (2005) . Integral representation of holomorphic functions on Banach spaces. Journal of Mathematical Analysis and Applications, 308(1), 159-174.http://dx.doi.org/10.1016/j.jmaa.2004.11.031
---------- CHICAGO ----------
Pinasco, D., Zalduendo, I. "Integral representation of holomorphic functions on Banach spaces" . Journal of Mathematical Analysis and Applications 308, no. 1 (2005) : 159-174.http://dx.doi.org/10.1016/j.jmaa.2004.11.031
---------- MLA ----------
Pinasco, D., Zalduendo, I. "Integral representation of holomorphic functions on Banach spaces" . Journal of Mathematical Analysis and Applications, vol. 308, no. 1, 2005, pp. 159-174.http://dx.doi.org/10.1016/j.jmaa.2004.11.031
---------- VANCOUVER ----------
Pinasco, D., Zalduendo, I. Integral representation of holomorphic functions on Banach spaces. J. Math. Anal. Appl. 2005;308(1):159-174.http://dx.doi.org/10.1016/j.jmaa.2004.11.031
