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Abstract:

Let V be a n-dimensional Stein manifold, I be a closed ideal of holomorphic functions on V. It was proved by Roger Gay that, given an analytic functional T such that hT = 0 (as a functional) for any h ∈ I, one can find some (n, n) compactly supported current T̃, such that T̃(φ) = 0 for any φ ∈ Iε0,0(V) and T̃(h) = T̃(h) for any h analytic on V. In this paper, we give some explicit construction of T̃ in terms of residual currents when I is defined as a complete intersection or is locally Cohen-Macaulay. Moreover, by means of integral representation formulas of the Andersson-Berndtsson-Passare type, we also study the non complete intersection case in order to represent analytic functionals orthogonal to the ideal in terms of currents annihilated (as currents) by some power (less than n) of the local integral closure of Iε0,0(V).

Registro:

Documento: Artículo
Título:Analytic functionals annihilated by ideals
Autor:Dickenstein, A.; Gay, G.; Sessa, C.; Yger, A.
Filiación:Depto. de Matematica, F.C.E. y N, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I (1428) Buenos Aires, Argentina
Departement de Mathematiques, Université Bordeaux I, 33405 Talence - Cedex, France
Año:1996
Volumen:90
Número:2
Página de inicio:175
Página de fin:223
Título revista:Manuscripta Mathematica
Título revista abreviado:Manuscr. Math.
ISSN:00252611
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v90_n2_p175_Dickenstein

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Citas:

---------- APA ----------
Dickenstein, A., Gay, G., Sessa, C. & Yger, A. (1996) . Analytic functionals annihilated by ideals. Manuscripta Mathematica, 90(2), 175-223.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v90_n2_p175_Dickenstein [ ]
---------- CHICAGO ----------
Dickenstein, A., Gay, G., Sessa, C., Yger, A. "Analytic functionals annihilated by ideals" . Manuscripta Mathematica 90, no. 2 (1996) : 175-223.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v90_n2_p175_Dickenstein [ ]
---------- MLA ----------
Dickenstein, A., Gay, G., Sessa, C., Yger, A. "Analytic functionals annihilated by ideals" . Manuscripta Mathematica, vol. 90, no. 2, 1996, pp. 175-223.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v90_n2_p175_Dickenstein [ ]
---------- VANCOUVER ----------
Dickenstein, A., Gay, G., Sessa, C., Yger, A. Analytic functionals annihilated by ideals. Manuscr. Math. 1996;90(2):175-223.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00252611_v90_n2_p175_Dickenstein [ ]