Voir la notice de l'article provenant de la source Cambridge University Press
Gil, Juan B.; Krainer, Thomas; Mendoza, Gerardo A. Geometry and Spectra of Closed Extensions of Elliptic Cone Operators. Canadian journal of mathematics, Tome 59 (2007) no. 4, pp. 742-794. doi: 10.4153/CJM-2007-033-7
@article{10_4153_CJM_2007_033_7,
author = {Gil, Juan B. and Krainer, Thomas and Mendoza, Gerardo A.},
title = {Geometry and {Spectra} of {Closed} {Extensions} of {Elliptic} {Cone} {Operators}},
journal = {Canadian journal of mathematics},
pages = {742--794},
year = {2007},
volume = {59},
number = {4},
doi = {10.4153/CJM-2007-033-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2007-033-7/}
}
TY - JOUR AU - Gil, Juan B. AU - Krainer, Thomas AU - Mendoza, Gerardo A. TI - Geometry and Spectra of Closed Extensions of Elliptic Cone Operators JO - Canadian journal of mathematics PY - 2007 SP - 742 EP - 794 VL - 59 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2007-033-7/ DO - 10.4153/CJM-2007-033-7 ID - 10_4153_CJM_2007_033_7 ER -
%0 Journal Article %A Gil, Juan B. %A Krainer, Thomas %A Mendoza, Gerardo A. %T Geometry and Spectra of Closed Extensions of Elliptic Cone Operators %J Canadian journal of mathematics %D 2007 %P 742-794 %V 59 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2007-033-7/ %R 10.4153/CJM-2007-033-7 %F 10_4153_CJM_2007_033_7
[1] [1] BrÜning, J. and Seeley, R., An index theorem for first order regular singular operators. Amer. J. Math. 110(1988), no. 4, 659–714. Google Scholar
[2] [2] Gil, J., Full asymptotic expansion of the heat trace for non-self-adjoint elliptic cone operators. Math. Nachr. 250(2003), 25–57. Google Scholar
[3] [3] Gil, J., Krainer, T., and Mendoza, G., Resolvents of elliptic cone operators. J. Funct. Anal. 241(2006), no. 1, 1–55. Google Scholar
[4] [4] Gil, J. and Mendoza, G., Adjoints of elliptic cone operators. Amer. J. Math. 125(2003), no. 2, 357–408. Google Scholar
[5] [5] Lesch, M., Operators of Fuchs type, conical singularities, and asymptotic methods. Teubner-Texte zur Mathematik 136, B.G. Teubner, Stuttgart, 1997. Google Scholar
[6] [6] Loya, P., On the resolvent of differential operators on conic manifolds. Comm. Anal. Geom. 10(2002), no. 5, 877–934. Google Scholar
[7] [7] Melrose, R., Transformation of boundary problems. Acta Math. 147(1981), no. 3-4, 149–236. Google Scholar
[8] [8] Melrose, R., The Atiyah-Patodi-Singer index theorem. Research Notes in Mathematics 4, A K Peters, Wellesley, MA, 1993. Google Scholar
[9] [9] Mooers, E., Heat kernel asymptotics on manifolds with conic singularities. J. Anal. Math. 78(1999), 1–36. Google Scholar
[10] [10] Schrohe, E. and Seiler, J., The resolvent of closed extensions of cone differential operators. Canad. J. Math. 57(2005), no. 4, 771–811. Google Scholar
[11] [11] Schulze, B.-W., Pseudo-differential operators on manifolds with singularities. Studies in Mathematics and its Applications 24, North-Holland, Amsterdam, 1991. Google Scholar
[12] [12] Seeley, R., Complex powers of an elliptic operator. In: Singular Integrals, American Mathematical Society, Providence, RI, 1967, pp. 288–307. Google Scholar
Cité par Sources :