Microlocal direct images of simple sheaves with applications to systems with simple characteristics

Andrea d'Agnolo; Giuseppe Zampieri

Bulletin de la Société Mathématique de France (1995)

  • Volume: 123, Issue: 4, page 605-637
  • ISSN: 0037-9484

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d'Agnolo, Andrea, and Zampieri, Giuseppe. "Microlocal direct images of simple sheaves with applications to systems with simple characteristics." Bulletin de la Société Mathématique de France 123.4 (1995): 605-637. <http://eudml.org/doc/87731>.

@article{dAgnolo1995,
author = {d'Agnolo, Andrea, Zampieri, Giuseppe},
journal = {Bulletin de la Société Mathématique de France},
keywords = {microlocal direct images; simple sheaves; microlocal boundary value problems; microdifferential equations; simple characteristics},
language = {eng},
number = {4},
pages = {605-637},
publisher = {Société mathématique de France},
title = {Microlocal direct images of simple sheaves with applications to systems with simple characteristics},
url = {http://eudml.org/doc/87731},
volume = {123},
year = {1995},
}

TY - JOUR
AU - d'Agnolo, Andrea
AU - Zampieri, Giuseppe
TI - Microlocal direct images of simple sheaves with applications to systems with simple characteristics
JO - Bulletin de la Société Mathématique de France
PY - 1995
PB - Société mathématique de France
VL - 123
IS - 4
SP - 605
EP - 637
LA - eng
KW - microlocal direct images; simple sheaves; microlocal boundary value problems; microdifferential equations; simple characteristics
UR - http://eudml.org/doc/87731
ER -

References

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  2. [D'AZ2]D'AGNOLO (A.) and ZAMPIERI (G.). — Generalized Levi forms for microdifferential systems, in D-modules and microlocal geometry, M. Kashiwara, T. Monteiro Fernandes, P. Schapira, Walter de Gruyter ﹠ Co, p. 25-35, 1993. Zbl0812.58078MR94b:58091
  3. [D'AZ3]D'AGNOLO (A.) and ZAMPIERI (G.). — Vanishing theorem for sheaves of microfunctions at the boundary on CR-manifolds, Comm. Partial Differential Equations, t. 17, 1992, p. 989-999. Zbl0770.32014MR93i:58144
  4. [D'AZ4]D'AGNOLO (A.) and ZAMPIERI (G.). — On microfunctions at the boundary along CR manifolds, to appear. Zbl0868.32014
  5. [K]KASHIWARA (M.). — Systems of microdifferential equations. — Progress in Math., Birkhauser, vol. 34, 1983. Zbl0521.58057MR86b:58113
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  8. [KS3]KASHIWARA (M.) and SCHAPIRA (P.). — Sheaves on manifolds, Springer-Verlag, t. 292, 1990. Zbl0709.18001MR92a:58132
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  11. [MSj2]MELIN (A.) and SJÖSTRAND (J.). — Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem, Comm. Partial Differential Equations, t. 1, 1976, p. 313-400. Zbl0364.35049MR56 #13294
  12. [S1]SCHAPIRA (P.). — Condition de positivité dans une variété symplectique complexe. Applications à l'étude des microfonctions, Ann. Sci. École Norm. Sup., t. 14, 1981, p. 121-139. Zbl0473.58022MR82i:58067
  13. [S2]SCHAPIRA (P.). — Front d'onde analytique au bord II, Sém. E.D.P. École Polytechnique, exp. 13, t. 302 (10), 1986, p. 383-386. Zbl0638.58027MR88c:58070a
  14. [SKK]SATO (M.), KAWAI (T.) and KASHIWARA (M.). — Hyperfunctions and pseudo-differential equations, Lecture Notes in Math., t. 287, 1973, p. 265-529. Zbl0277.46039MR54 #8747
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