Analytic convexity

Aldo Andreotti; Mauro Nacinovich

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1980)

  • Volume: 7, Issue: 2, page 287-372
  • ISSN: 0391-173X

How to cite

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Andreotti, Aldo, and Nacinovich, Mauro. "Analytic convexity." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 7.2 (1980): 287-372. <http://eudml.org/doc/83839>.

@article{Andreotti1980,
author = {Andreotti, Aldo, Nacinovich, Mauro},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {analytic convexity; complexes of partial differential operators; Runge approximation theorem; elliptic operators; Cauchy data; suspending complex; groups of analytic cohomology},
language = {eng},
number = {2},
pages = {287-372},
publisher = {Scuola normale superiore},
title = {Analytic convexity},
url = {http://eudml.org/doc/83839},
volume = {7},
year = {1980},
}

TY - JOUR
AU - Andreotti, Aldo
AU - Nacinovich, Mauro
TI - Analytic convexity
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1980
PB - Scuola normale superiore
VL - 7
IS - 2
SP - 287
EP - 372
LA - eng
KW - analytic convexity; complexes of partial differential operators; Runge approximation theorem; elliptic operators; Cauchy data; suspending complex; groups of analytic cohomology
UR - http://eudml.org/doc/83839
ER -

References

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  1. [1] B. Almer, Sur quelques problèmes de la théorie des fonctions analytiques de deux variables complexes, Arkiv für Mat. Astronomy och Fysik, Bd. 17, no. 7 (1922), pp. 1-70. Zbl48.1229.03JFM48.1229.03
  2. [2] A. Andreotti - H. Grauert, Theorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. France, 90 (1962), pp. 193-259. Zbl0106.05501MR150342
  3. [3] A. Andreotti - M. Nacinovich, Complexes of partial differential operators, Ann. Scuola Norm. Sup. Pisa, 3 (1976), pp. 553-621. Zbl0334.58015MR445557
  4. [4] A. Andreotti - M. Nacinovich, On the envelope of regularity for solutions of homogeneous systems of linear partial differential operators, Ann. Scuola Norm. Sup. Pisa, 6 (1979), pp. 69-141. Zbl0394.35017MR529476
  5. [5] H. Behnke - K. Stein, Konvergente Folgen von Regularitütsberciche, Math. Ann., 116 (1938), pp. 204-216. Zbl0020.37803JFM64.0322.03
  6. [6] E. De Giorgi, Solutions analytiques des équations aux derivées partielles à coefficients constants, Séminaire Goulaouic-Schwartz, Ecole Polytechnique 1971-72, exposé 29. Zbl0244.35017
  7. [7] R. Godement, Théorie des faisceaux, Hermann, Paris (1958). Zbl0080.16201MR102797
  8. [8] H. Grauert, On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math., 68 (1958), pp. 460-472. Zbl0108.07804MR98847
  9. [9] L. Hörmander, Linear Partial Differential Operators, Springer, Berlin (1963). Zbl0108.09301MR404822
  10. [10] L. Hörmander, An Introduction to Complex Analysis in Several Variables, Van Nostrand, Princeton (1966). Zbl0138.06203MR203075
  11. [11] L. Hörmander, On the existence of real analytic solutions of partial differential equations with constant coefficients, Inventiones Math., 21 (1973), pp. 151-182. Zbl0282.35015MR336041
  12. [12] H.B. Laufer, On Serre duality and envelopes of holomorphy, Trans. American Math. Soc., 128 (1967), pp. 414-463. Zbl0166.33903MR222341
  13. [13] L. Piccinini, Nonsurjectivity of the Cauchy-Riemann operator on the space of the analytic functions in Rn, generalization to parabolic operators, Boll. Un. Mat. Ital., 7 (1973), pp. 12-28. Zbl0264.35003MR326135
  14. [14] J.C. Tougeron, Ideaux de fonctions differentiables, Ergebnisse der Mathematik, Bd. 71, Springer, Berlin - Heidelberg - New York (1972). Zbl0251.58001MR440598

Citations in EuDML Documents

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  1. Chiara Boiti, Mauro Nacinovich, Extension of formal power series solutions
  2. Giuliano Bratti, Problema di Cauchy semiglobale in due variabili
  3. Chiara Boiti, Evoluzione per sistemi differenziali sovradeterminati
  4. Chiara Boiti, Mauro Nacinovich, The overdetermined Cauchy problem
  5. Mauro Nacinovich, The Contribution of A. Andreotti to the Theory of Complexes of p.d.o.'s
  6. Giuseppe Tomassini, Foliations with complex leaves
  7. Michael Langenbruch, Localizations of partial differential operators and surjectivity on real analytic functions
  8. Giuliana Gigante, Giuseppe Tomassini, Foliations with complex leaves

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