Extension of C R -forms and related problems

Alessandro Perotti

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 77, page 37-55
  • ISSN: 0041-8994

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Perotti, Alessandro. "Extension of $CR$-forms and related problems." Rendiconti del Seminario Matematico della Università di Padova 77 (1987): 37-55. <http://eudml.org/doc/108069>.

@article{Perotti1987,
author = {Perotti, Alessandro},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {extension of CR forms},
language = {eng},
pages = {37-55},
publisher = {Seminario Matematico of the University of Padua},
title = {Extension of $CR$-forms and related problems},
url = {http://eudml.org/doc/108069},
volume = {77},
year = {1987},
}

TY - JOUR
AU - Perotti, Alessandro
TI - Extension of $CR$-forms and related problems
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 77
SP - 37
EP - 55
LA - eng
KW - extension of CR forms
UR - http://eudml.org/doc/108069
ER -

References

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  1. [1] L.A. A - Sh A. Dautov, Differential forms orthogonal to holomorphic functions of forms, and their properties, Providence, A.M. S.1983. 
  2. [2] L.A. A - A.P. Yuzhakov, Integral representations and residues in multidimensional complex analysis, Procidence, A.M.S., 1983. 
  3. [3] A. Andreotti - H. GRAUERT, Théorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France, 90 (1962), pp. 193-255. Zbl0106.05501MR150342
  4. [4] A. Andreotti - C.D. Hill, E. E. Levi convexity and the H. Lewy problem, Part I: Ann, SNS, 26 (1972), pp. 325-363. Part II: Ann. SNS, 26 (1972), 747-806. Zbl0283.32013
  5. [5] A. Boggess, Kernels for the tangential Cauchy-Riemann equations, Trans. of Amer. Math. Soc., Vol. 262, No. 1 (1980), pp. 1-49. Zbl0489.32014MR583846
  6. [6] G.M. Henkin - J. Leiterer, Theory of functions on complex manifolds, Birkhäuser, 1984. Zbl0726.32001MR795028
  7. [7] L. Hörmander, An introduction to complex analysis in several variables, Princeton, N.J., Van Nostrand, 1966. Zbl0138.06203MR203075
  8. [8] J.J. Kohn - H. Rossi, On the extension of holomorphic Junctions from the boundary of a complex manifold, Ann. of Math., (2) 81 (1965), 451-472. Zbl0166.33802MR177135
  9. [9] M. Landucci, Solutions with precise compact support of ∂u = f, Bull. des Sc. Math. (2) 104 (1970), No. 3, pp. 273-299. Zbl0444.32011
  10. [10] H. Lewy, On the local character of the solution of an atypical linear-dif- ferential equation in three variables and a related theorem for regular functions of two variables, Ann. of Math., 64 (1956), pp. 514-522. Zbl0074.06204MR81952
  11. [11] G. Lupacciolu - G. TOMASSINI, Un teorema di estensione per le CR-funzioni, Ann. di Mat. Pura e Appl. (IV), 87 (1984), pp. 257-263. Zbl0569.32009MR772261
  12. [12] M. Nacinovich - G. Valli, Tangential Cauchy-Riemann complexes on distributions, to appear in Ann. di Mat. Pura e Appl. Zbl0631.58024MR916690
  13. [13] G. Tomassini, Extension d'objects CR, to appear on Lecture Notes in Mathematics. Zbl0594.32012
  14. [14] G. Tomassini, Extension of CR-functions, to appear. Zbl0577.32019
  15. [15] G. Tomassini, Sur les algèbres A°(D) et A∞(D) d'un domaine pseudoconvexe non borné, Ann. SNS serie IV, 10, No. 2 (1983), pp. 243-256. Zbl0523.32010
  16. [16] G. Vigna Suria, q-pseudoconvex and q-complete domains, Comp. Math., 53 (1984), pp. 105-111. Zbl0566.32012MR762309

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