Geodesic
General hypergeometric functions on complex Grassmannians
Funkcionalʹnyj analiz i ego priloženiâ, Tome 21 (1987) no. 1, pp. 23-38 
V. A. Vassiliev; I. M. Gel'fand; A. V. Zelevinskii. General hypergeometric functions on complex Grassmannians. Funkcionalʹnyj analiz i ego priloženiâ, Tome 21 (1987) no. 1, pp. 23-38. http://geodesic.mathdoc.fr/item/FAA_1987_21_1_a2/
@article{FAA_1987_21_1_a2,
     author = {V. A. Vassiliev and I. M. Gel'fand and A. V. Zelevinskii},
     title = {General hypergeometric functions on complex {Grassmannians}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {23--38},
     year = {1987},
     volume = {21},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1987_21_1_a2/}
}
TY  - JOUR
AU  - V. A. Vassiliev
AU  - I. M. Gel'fand
AU  - A. V. Zelevinskii
TI  - General hypergeometric functions on complex Grassmannians
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1987
SP  - 23
EP  - 38
VL  - 21
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/FAA_1987_21_1_a2/
LA  - ru
ID  - FAA_1987_21_1_a2
ER  - 
%0 Journal Article
%A V. A. Vassiliev
%A I. M. Gel'fand
%A A. V. Zelevinskii
%T General hypergeometric functions on complex Grassmannians
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1987
%P 23-38
%V 21
%N 1
%U http://geodesic.mathdoc.fr/item/FAA_1987_21_1_a2/
%G ru
%F FAA_1987_21_1_a2

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Gelfand I.M., “Obschaya teoriya gipergeometricheskikh funktsii”, DAN SSSR, 288:1 (1986), 14–18 | MR

[2] Gelfand I.M., Gelfand S.I., “Obobschennye gipergeometricheskpe uravneniya”, DAN SSSR, 288:2 (1986), 279–283 | MR

[3] Gelfand I.M., Graev M.I., “Teorema dvoistvennosti dlya obschikh gipergeometricheskikh funktsii”, DAN SSSR, 289:1 (1986), 19–23 | MR

[4] Gelfand I.M., Zelevinskii A.V., “Algebraicheskie i kombinatornye aspekty obschei teorii gipergeometricheskikh funktsii”, Funktsion. analiz i ego pril., 20:3 (1986), 17–34 | MR

[5] Gelfand I.M., Serganova V.V., “Kombinatornye geometrii i straty tora na odnorodnykh kompaktnykh mnogoobraziyakh”, UMN, 42:2 (1987), 107–134 | MR | Zbl

[6] Uitteker E., Vatson G., Kurs sovremennogo analiza, T. 2, Fizmatgiz, M., 1963

[7] Varchenko A.N., “Kombinatorika i topologiya raspolozheniya affinnykh giperploskostei v veschestvennom prostranstve”, Funktsion. analiz i ego pril., 21:1 (1987), 11–22 | MR | Zbl

[8] Aomoto K., “On vanishing of cohomology attached to certain many valued meromorphic functions”, J. Math. Soc. Japan, 27 (1975), 248–255 | DOI | MR | Zbl

[9] Aomoto K., “On the structure of Integrals of Power Product of Linear Functions”, Sci. papers, Coll. Gen. Ed., 27 (1977), 49–61, Univ. Tokyo | MR | Zbl

[10] Aomoto K., “Les équations aux différences linéaires et les intégrales des functions multiformes”, J. of the Fac. of Sci. Univ. of Tokyo, 22 (1975), 271–297 | MR | Zbl

[11] Berezin F.A., Gelfand I.M., “Neskolko zamechanii k teorii sfericheskikh funktsii na simmetricheskikh rimanovykh mnogoobraziyakh”, Trudy MMO, 5, 1956, 311–352 | MR

[12] Kostant B., “A formula for the multiplicity of a weight”, Trans. Amer. Math. Soc., 93, 1959, 53–73 | DOI | MR | Zbl

[13] Heckman G.J., “Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups”, Invent. math., 67:2 (1982), 333–356 | DOI | MR | Zbl

[14] Vasilev V.A., Gelfand I.M,, Zelevinskii A.V., “Povedenie obpschikh gipergeometricheskikh funktsii v kompleksnoi oblasti”, DAN SSSR, 290:2 (1986), 277–281 | MR

[15] Deligne P., Mostow G.D., “Monodromy of hypergeometric functions and non-lattice integral monodromy”, Publ. Math. IHES, 63 (1986), 5–90 | DOI | MR

[16] Fam F., “Obobschennye formuly Pikara–Lefshetsa i vetvlenie integralov”, Matematika, 13:4 (1969), 61–93