La transformation de Radon analytique en codimension 1

Salomon Ofman

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1993)

  • Volume: 20, Issue: 3, page 415-459
  • ISSN: 0391-173X

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Ofman, Salomon. "La transformation de Radon analytique en codimension 1." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.3 (1993): 415-459. <http://eudml.org/doc/84156>.

@article{Ofman1993,
author = {Ofman, Salomon},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {complex projective space; Radon transform},
language = {fre},
number = {3},
pages = {415-459},
publisher = {Scuola normale superiore},
title = {La transformation de Radon analytique en codimension 1},
url = {http://eudml.org/doc/84156},
volume = {20},
year = {1993},
}

TY - JOUR
AU - Ofman, Salomon
TI - La transformation de Radon analytique en codimension 1
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1993
PB - Scuola normale superiore
VL - 20
IS - 3
SP - 415
EP - 459
LA - fre
KW - complex projective space; Radon transform
UR - http://eudml.org/doc/84156
ER -

References

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  1. [A] A. Andreotti, Théorème de dépendance algébrique sur les espaces complexes pseudoconcaves, Bull. Soc. Math. France, 91, p. 1-38, 1963. Zbl0113.06403MR152674
  2. [A-N1] A. Andreotti - F. Norguet, Quelques Propriétés de Courants Définis à l'Aide de Fonctions Holomorphes, Acad. Bras. de Ciencias, 37, p. 385-388, 1965. Zbl0142.04902MR199438
  3. [A-N2] A. Andreotti - F. Norguet, Cycles of algebraic manifolds and ∂∂-cohomology, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 25, p. 59-114, 1971. Zbl0212.53701
  4. [B-E] R. Baston - M. Eastwood, The Penrose Transform, Oxford science Publication, 1989. Zbl0726.58004MR1038279
  5. [C-H] N. Coleff - M. Herrera, Les courants résiduels associés à une forme méromorphe, Lecture Notes in Math. 633, Springer-Verlag, 1978. Zbl0371.32007MR492769
  6. [D] P. Dolbeault, Valeurs principales sur les espaces complexes, Lecture Notes in Math., Springer-Verlag, 1971. 
  7. [F] G. Fischer, Complex Analytic Geometry, Lecture Notes in Math.538, 1976. Zbl0343.32002MR430286
  8. [FU] A. Fujiki, Closedness of Douady Spaces of compact kähler spaces, Publ. R.I.M.S., 14, p. 1-52, 1978. Zbl0409.32016MR486648
  9. [G-H] S. Gindikin - G. Henkin, Géométrie intégrale pour la d''-cohomologie dans les domaines q-liméellement concaves de Pn(C), Funktsional. Anal. i Prilozhen., 12, 4, p. 6-23, 1978. Zbl0409.32020MR515626
  10. [GR-H] P. Griffith - J. Harris, Principles of algebraic Geometry, WileyInterscience, 1978. Zbl0408.14001MR507725
  11. [H-L] M. Herrera - D. Lieberman, Residues and principal values on complex spaces, Math. Ann., 194, p. 259-294, 1971. Zbl0224.32012MR296352
  12. [L] J. Leray, Le calcul différentiel et intégral sur une variété analytique complexe, problème de Cauchy III, Bull. Soc. Math. de France, 87, 1959, p. 81-180. Zbl0199.41203MR125984
  13. [M] A. Martineau, Equations différentielles d'ordre infini, Bull. Soc. Math. France, 95, p. 109-154, 1967. Zbl0167.44202MR1507968
  14. [O1] S. Ofman, Transformée de Radon et intégrale sur les cycles analytiques compacts de certains ouverts de l'espace projectif complexe, Fonct. Plus. Var. Comp. V, Lect. Notes in Math. 1188, p. 23-44, Springer Verlag, 1986. Zbl0594.32014MR926283
  15. [02] S. Ofman, Intégration des classes de d' d''-cohomologie sur les cycles analytiques. Solution du problème de l'injectivité, J. Math. Pures Appl., 68, p. 73-94, 1989. Zbl0621.32020MR985954
  16. [03] S. Ofman, d' d", d"-cohomologie et intégration sur les cycles analytiques, Invent. Math., 92, p. 389-402, 1988. Zbl0651.32009MR936088
  17. [04] S. Ofman, La transformation de Radon analytique, C.R. Acad. Sci. Paris Sér. I Math., 307, p. 443-446, 1988. Zbl0668.44005MR964103
  18. [05] S. Ofman, The Analytic, Radon Transform, Proc. Symp. Pure Math., 52, vol. 2, p. 511-516, 1991. Zbl0749.32023MR1128558
  19. [06] S. Ofman, Transformation de Radon analytique générale, C.R. Acad. Sci. Paris Sér. I Math., 314, p. 511-516, 1992. Zbl0756.32011MR1159392
  20. [P] M. Passare, Residues, currents, and their relations to ideals of holomorphic functions, Math. Scand.62, p. 75-152, 1988. Zbl0633.32005MR961584
  21. [P-H] P. Polyakov - G. Henkin, Homotopy formulas for the ∂-operator on CPn and the Radon-Penrose transformation, Izv. Akad. Nauk SSSR Ser. Mat.50, 3, p. 556-597, 1986. Zbl0607.32003
  22. [S] L. Schwartz, Théorie des distributions, Hermann, 1966. Zbl0149.09501MR209834

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