Geodesic
Integral geometry for $\partial$-cohomology in $q$-linear concave domains in $\mathbb{CP}^n$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 12 (1978) no. 4, pp. 6-23 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{FAA_1978_12_4_a1,
     author = {S. G. Gindikin and G. M. Henkin},
     title = {Integral geometry for $\partial$-cohomology in $q$-linear concave domains in $\mathbb{CP}^n$},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {6--23},
     year = {1978},
     volume = {12},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1978_12_4_a1/}
}
TY  - JOUR
AU  - S. G. Gindikin
AU  - G. M. Henkin
TI  - Integral geometry for $\partial$-cohomology in $q$-linear concave domains in $\mathbb{CP}^n$
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1978
SP  - 6
EP  - 23
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/FAA_1978_12_4_a1/
LA  - ru
ID  - FAA_1978_12_4_a1
ER  - 
%0 Journal Article
%A S. G. Gindikin
%A G. M. Henkin
%T Integral geometry for $\partial$-cohomology in $q$-linear concave domains in $\mathbb{CP}^n$
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1978
%P 6-23
%V 12
%N 4
%U http://geodesic.mathdoc.fr/item/FAA_1978_12_4_a1/
%G ru
%F FAA_1978_12_4_a1
S. G. Gindikin; G. M. Henkin. Integral geometry for $\partial$-cohomology in $q$-linear concave domains in $\mathbb{CP}^n$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 12 (1978) no. 4, pp. 6-23. http://geodesic.mathdoc.fr/item/FAA_1978_12_4_a1/

[1] Andreotti A., Grauert H., “Theoremes de finitude pour la cohomologie des espaces complexes”, Bull. Soc. Math. France, 90 (1962), 193–259 | DOI | MR

[2] Andreotti A., Norguet F., “La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique”, Ann. Scuola Norm. Super. Pisa, 21:1 (1967), 31–82 | MR | Zbl

[3] Andreotti A., Norguet F., “Cycles of algebraic manifolds and Aeppli cohomology”, Ann. Scuola Norm. Super. Pisa, 25:1 (1971), 59–114 | MR | Zbl

[4] Aizenberg L.A., “Obschii vid lineinogo nepreryvnogo funktsionala v prostranstvakh funktsii, golomorfnykh v vypuklykh oblastyakh $\mathbf C^n$”, DAN SSSR, 166:5 (1966), 1015–1018 | MR

[5] Gelfand I.M., Graev M.I., Shapiro Z.Ya., “Integralnaya geometriya na $k$-mernykh ploskostyakh”, Funkts. analiz, 1:1 (1967), 15–31 | MR

[6] Harvey R., “The theory of hyperf unctions on totally real subsets of a complex manifold with applications to extensions problems”, Amer. J. Math., 41:4 (1969), 853–873 | DOI | MR

[7] Khenkin G.M., “Uravnenie G. Levi i analiz na psevdovypuklom mnogoobrazii”, UMN, XXXII:3 (1977), 57–118

[8] Lere Zh., Differentsialnoe i integralnoe ischisleniya na kompleksnom analiticheskom mnogoobrazii, IL, M., 1961

[9] Lerner D., “The inverse twistor function for positive frequency fields”, Twistor Newsletter, v. 5, Oxford, 1977

[10] Michael E., “Continuous selections. I, II”, Ann. Math., 63:2 (1956), 361–382 | DOI | MR | Zbl

[11] Martineau A., “Sur la topologie des espaces de fonctions holomorphes”, Math. Ann., 163 (1966), 62–88 | DOI | MR | Zbl

[12] Martineau A., “Equations différentielles d'orde infini”, Bull. Soc. Math. France, 95 (1967), 109–154 | DOI | MR | Zbl

[13] Penrose R., “Massless fields and sheaf cohomology”, Twistor Newsletter, v. 5, Oxford, 1977 | Zbl

[14] Range R.M., Yum-Tong Siu, “Uniform estimates for the $\partial$-equation on domains with piecewise smooth strictly pseudoconvex boundaries”, Math. Ann., 206:4 (1973), 325–354 | DOI | MR | Zbl

[15] Wells R.O., Complex manifolds and mathematical physics, preprint, Rise Univ., 1977 | MR