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Title: Integral transforms for divisors in $\mathbb{P}_n(\mathbb C)$ and solutions of systems of PDE’s (English)
Author: Bureš, Jarolím
Author: Souček, Vladimír
Author: Ofman, Salomon
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 50
Issue: 4
Year: 2000
Pages: 763-790
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Category: math
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MSC: 32A27
MSC: 32L25
MSC: 35A22
MSC: 53C65
idZBL: Zbl 1079.53116
idMR: MR1792969
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Date available: 2009-09-24T10:37:46Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/127609
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Reference: [A-N1] A. Andreotti and F. Norguet: Problème de Levi et convexité holomorphe pour les classes de cohomologie.Ann. Sc. Norm. Sup. Pisa 20 (1966), 197–241. MR 0199439
Reference: [A-N2] A. Andreotti and F. Norguet: Cycles of algebraic manifolds and $\partial \bar{\partial }$-cohomology.Ann. Sc. Norm. Sup. Pisa 25 (1971), 59–114. MR 0288314
Reference: [B] D. Barlet: Espace des cycles et $d^{\prime }d^{\prime \prime }$-cohomologie de ${\mathbb{P}_{n}(C)} \setminus {\mathbb{P}_{k}(C)}$.Fonctions de Plusieurs Variables Complexes, Sém. F. Norguet, 1970–1973, Lecture Notes in Math., 409, 1974, pp. 98–123. Zbl 0307.32008, MR 0369738
Reference: [B-T] R. Bott and L. Tu: Differential Forms in Algebraic Topology.GTM 82, Springer Verlag, 1982. MR 0658304
Reference: [C-H] N. Coleff and M. Herrera: Les Courants Résiduels Associés à une Forme Méromorphe.Lecture Notes in Math., 633, Springer Verlag, 1978. MR 0492769, 10.1007/BFb0068349
Reference: [D-S-S] R. Delanghe, F. Sommen and V. Souček: Clifford Algebra and Spinor Valued Functions, A Function Theory for the Dirac Operator.Mathematics and Its Applications, Kluwer Academic Publishers, 1992.. MR 1169463
Reference: [G-H] G. Gindikin and M. Henkin: Integral geometry for $\bar{\partial }$-cohomology in $q$-linear concave domains in ${CP}^n$.Funct. Anal. Appl. 12 (1978), 6–23. MR 0515626
Reference: [HE] M. Henkin: The Abel-Radon transform and several complex variables.Ann. Math. Stud. 137, T. Bloom (ed.), Princeton University Press, 1995, pp. 223–275. Zbl 0848.32012, MR 1369141
Reference: [HU] D.Husemoller: Fibre Bundles.McGraw-Hill, 1966. Zbl 0356.55007, MR 0229247
Reference: [L] J. Leray: Le calcul différentiel et intégral sur une variété analytique complexe, probléme de Cauchy III.Bull. Soc. Math. France 87 (1959), 81–180. Zbl 0199.41203, MR 0125984, 10.24033/bsmf.1515
Reference: [M] A. Martineau: Équations différentielles d’ordre infini.Bull. Soc. Math. France 95 (1967), 109–154. Zbl 0167.44202, MR 1507968, 10.24033/bsmf.1650
Reference: [O1] S. Ofman: $d^{\prime }d^{\prime \prime }$ et $d^{\prime \prime }$-cohomologie d’une variété compacte privée d’un point.Bull. Soc. Math. France 113 (1985), 241–254. Zbl 0588.32012, MR 0834037
Reference: [O2] S. Ofman: Intégration des classes de $d^{\prime }d^{\prime \prime }$-cohomologie sur les cycles analytiques. Solution du problème de l’injectivité.J. Math. Pures Appl. 68 (1989), 73–94. Zbl 0621.32020, MR 0985954
Reference: [O3] S. Ofman: $d^{\prime }d^{\prime \prime }$, $d^{\prime \prime }$-cohomologies et intégration sur les cycles analytiques.Invent. Math. 92 (1988), 389–402. Zbl 0689.32006, MR 0936088, 10.1007/BF01404459
Reference: [O4] S. Ofman: La transformation de Radon analytique en codimension 1.Ann. Sc. Norm. Sup. Pisa 20 (1993), 415–459. Zbl 0819.53035, MR 1256076
Reference: [O5] S. Ofman: Résidus méromorphes et Résidus de Martinelli, Seminari di Geometria 1994–1996.(1996), Università degli Studi di Bologna, 181–193. MR 1385727
Reference: [O6] S. Ofman: Une généralisation d’une transformation intégrale de $R^{2}$.Géométrie analytique, F. Norguet, S. Ofman, J.J. Szczeciniarz (eds.), Actualités scientifiques et industrielles, 1438, Hermann, 1996. MR 1487914
Reference: [O7] S. Ofman: la Transformation de Radon analytique en dimension quelconque, preprint University Paris 7.(to appear). MR 2493578
Reference: [W-W] R. Ward and R. Wells: Twistor Geometry and Field Theory.Cambridge University Press, 1990. MR 1054377
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