@article{ASNSP_1995_4_22_2_315_0,
author = {Hill, C. Denson and Nacinovich, M.},
title = {Duality and distribution cohomology of $CR$ manifolds},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {315--339},
year = {1995},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 22},
number = {2},
mrnumber = {1354910},
zbl = {0848.32003},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1995_4_22_2_315_0/}
}
TY - JOUR AU - Hill, C. Denson AU - Nacinovich, M. TI - Duality and distribution cohomology of $CR$ manifolds JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1995 SP - 315 EP - 339 VL - 22 IS - 2 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1995_4_22_2_315_0/ LA - en ID - ASNSP_1995_4_22_2_315_0 ER -
%0 Journal Article %A Hill, C. Denson %A Nacinovich, M. %T Duality and distribution cohomology of $CR$ manifolds %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1995 %P 315-339 %V 22 %N 2 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1995_4_22_2_315_0/ %G en %F ASNSP_1995_4_22_2_315_0
Hill, C. Denson; Nacinovich, M. Duality and distribution cohomology of $CR$ manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 22 (1995) no. 2, pp. 315-339. https://www.numdam.org/item/ASNSP_1995_4_22_2_315_0/
[AjHe] - , Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR functions I, II, Usp. Mat. Nauk 39, n. 3, (1984), 39-106 English transl.: Russ. Math. Surv. 39, n. 3 (1984), 41-118; Mat. Sb. Nov. Ser. 127, n. 1 (1985), 92-112; English transl.: Math. USSR, Sb. 55, n. 1 (1986), 91-111. | Zbl | MR
[AB] - C. BăNICă, Relative duality in complex spaces I., Rev. Roum. Math. Pures et Appl. 20 (1975), 981-1041. | Zbl | MR
[AFN] - - , On the absence of Poincaré lemma in tangential Cauchy-Riemann complexes, Ann. Scuola Norm. Sup. Pisa 8 (1981), 365-404. | Zbl | MR | Numdam
[AG] - , Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France 90 (1962), 193-259. | Zbl | MR | Numdam
[AH] - , E.E. Levi convexity and the Hans Lewy problem I, II, Ann. Scuola Norm. Sup. Pisa 26 (1972), 325-363; 747-806. | Numdam
[AHLM] - - - , Complexes of partial differential operators: The Mayer-Vietoris sequence, Invent. Math. 26 (1976), 43-86. | Zbl | MR
[AK] - , Duality on complex spaces, Ann. Scuola Norm. Sup. Pisa 27 (1973), 187-263. | Zbl | MR | Numdam
[AN] - , Noncharacteristic hypersurface for complexes of differential operators, Ann. Math. Pura Appl. 125 (1980), 18-83. | Zbl | MR
[deR] , "Variétés différentiables", Hermann, Paris, 1960. | Zbl
[Gr] , "Local cohomology", Lect. Notes Math. 41 Springer-Verlag, Berlin, 1967. | Zbl | MR
[HN1] - , Pseudoconcave CR manifolds, preprint, Dipartimento di Matematica, Pisa 1.76 (723) (Feb. 1993). | MR
[HN2] - , Aneurysms of pseudoconcave CR manifolds, preprint Dipartimento di Matematica, Pisa 1.83 (745) (Jun. 1993). | MR
[HN3] - , A collar neighborhood theorem for a complex manifold, prépublication de I'lnstitut Fourier, Grenoble 197 (1992).
[L] , Le calcul différentiel et intégral sur une variété analitique complexe (Problème de Cauchy III), Bull. Soc. Math. Fr. 87 (1959), 81-180. | Zbl | MR | Numdam
[M] , Distributions et valeurs au bord de fonctions holomorphes, RCP Strasbourg 25 (1966).
[MN] - , Pluriharmonic functions on abstract CR manifolds, preprint Dipartimento di Matematica, Pisa 1.78 (727) (Mar. 1993). | MR
[N1] , Poincaré lemma for tangential Cauchy-Riemann complexes, Math. Ann. 268 (1984), 449-471. | Zbl | MR
[N2] , On a theorem of Ajrapetyan and Henkin, Seminari di Geometria 1988-1991, Univ. Bologna, 99-135. | Zbl | MR
[N3] , On strict Levi q-convexity and q-concavity on domains with piecewise smooth boundaries, Math. Ann. 281 (1988), 459-482. | Zbl | MR
[NV] - , Tangential Cauchy-Riemann complexes on distributions, Ann. Mat. Pura Appl. 146 (1987), 123-160. | Zbl | MR
[S] , Un Théorème de dualité, Comm. Math. Helvetici 29 (1955), 9-26. | Zbl | MR





