Spectral analysis on singular spaces
Journées équations aux dérivées partielles (1989), article no. 3, 9 p. 
@article{JEDP_1989____A3_0,
     author = {Br\"uning, Jochen},
     title = {Spectral analysis on singular spaces},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {3},
     pages = {1--9},
     publisher = {Ecole polytechnique},
     year = {1989},
     language = {en},
     url = {http://archive.numdam.org/item/JEDP_1989____A3_0/}
}
TY  - JOUR
AU  - Brüning, Jochen
TI  - Spectral analysis on singular spaces
JO  - Journées équations aux dérivées partielles
PY  - 1989
SP  - 1
EP  - 9
PB  - Ecole polytechnique
UR  - http://archive.numdam.org/item/JEDP_1989____A3_0/
LA  - en
ID  - JEDP_1989____A3_0
ER  - 
%0 Journal Article
%A Brüning, Jochen
%T Spectral analysis on singular spaces
%J Journées équations aux dérivées partielles
%D 1989
%P 1-9
%I Ecole polytechnique
%U http://archive.numdam.org/item/JEDP_1989____A3_0/
%G en
%F JEDP_1989____A3_0
Brüning, Jochen. Spectral analysis on singular spaces. Journées équations aux dérivées partielles (1989), article  no. 3, 9 p. http://archive.numdam.org/item/JEDP_1989____A3_0/

[An] M. Anderson : L2-harmonic forms and a conjecture by Dodziuk-Singer. Bull. Am. Math. Soc. 13 (1985), 163-166. | MR | Zbl

[At] M.F. Atiyah : Elliptic operators, discrete groups and von Neumann algebras. Astérisque 32/33 (1976), 43-72. | MR | Zbl

[At+Bo+Pa] M.F. Atiyah, R. Bott, and V.K. Patodi : On the heat equation and the index theorem. Invent. Math. 19 (1973), 279-330. | MR | Zbl

[At+Do+Si] M.F. Atiyah, H. Donnelly, and I.M. Singer : Eta invariants, signature defects of cusps, and values of L-functions. Ann. Math. 118 (1983), 131-177. | MR | Zbl

[Bi+Ch] J.M. Bismut and J. Cheeger : Eta invariants and their adiabatic limits. J. Am. Math. Soc. 2 (1989), 33-70. | MR | Zbl

[Bi+F] J.M. Bismut and D.S. Freed : The analysis of elliptic families : metrics and connections on determinant bundles. Commun. Math. Phys. 106 (1986), 159-176. | MR | Zbl

[Ba+Mo] D. Barbasch and H. Moscovici : L2-index and the Selberg trace formula. J. Funct. Anal. 53 (1983), 151-201. | MR | Zbl

[Br+H] J. Brüning and E. Heintze : Representations of compact Lie groups and elliptic operators. Invent. Math. 50 (1979), 169-203. | MR | Zbl

[Br+Sch] J. Brüning and H. Schröder : On the absence of log terms in the constant curvature case. Asymptotic Anal. 1 (1988), 193-203. | MR | Zbl

[Br+Pe+Sch] J. Brüning, N. Peyerimhoff, and H. Schröder : The ∂-operator on algebraic curves. Preprint, Universität Augsburg 1989. | Zbl

[Br+Se1] J. Brüning and R.T. Seeley : Regular singular asymptotics. Adv. Math. 58 (1985), 133-148. | MR | Zbl

[Br+Se2] J. Brüning and R.T. Seeley : An index theorem for first order regular singular operators. Am. J. Math. 110 (1988), 659-714. | MR | Zbl

[Br+Se3] J. Brüning and R.T. Seeley : The expansion of the resolvent near a singular stratum of conical type. Preprint, Universität Augsburg 1989.

[Br+K] J. Brüning and F. Kamber : On the spectral theory of foliated Dirac operators. In preparation.

[Br] J. Brüning : L2-index theorems for certain complete manifolds. Preprint, Universität Augsburg 1988.

[Ch1] J. Cheeger : Spectral geometry of singular Riemannian spaces. J. Differ. Geom. 18 (1983), 575-657. | MR | Zbl

[Ch2] J. Cheeger : η-invariants, the adiabatic approximation and conical singularities. J. Differ. Geom. 26 (1987), 175-221. | MR | Zbl

[Ch+Go+McP] J. Cheeger, M. Goresky, and R. Macpherson : L2-cohomology and intersection homology of singular algebraic varieties. In “Seminar on Differential Geometry”, Ann. Math. Stud. 102 (1982), 303-340. | MR | Zbl

[Co+Mo] A. Connes and H. Moscovici : The L2-index theorem for homogeneous spaces of Lie groups. Ann. Math. 115 (1982), 291-330. | MR | Zbl

[Dod1] J. Dodziuk : L2-harmonic forms on rotationally symmetric Riemannian manifolds. Proc. Am. Math. Soc. 77 (1979), 395-400. | MR | Zbl

[Dod2] J. Dodziuk : L2-harmonic forms on complete manifolds. In “Seminar on Differential Geometry”, Ann. Math. Stud. 102 (1982), 291-302. | Zbl

[Lap+Fl] M.L. Lapidus and J. Fleckinger-Pellé : Tambour fractal : vers une résolution de la conjecture de Weyl-Berry pour les valeurs propres du laplacien. C. R. Acad. Sci., Paris, Ser. I, 306 (1988), 171-175. | MR | Zbl

[Ge] E. Getzler : A short proof of the local Atiyah-Singer index theorem. Topology 25 (1986), 119-117. | MR | Zbl

[Gr] M. Gromov : Kähler hyperbolicity and L2-Hodge theory. Preprint, IHES 1989.

[Gr+La] M. Gromov and H.B. Lawson : Positive scalar curvature and the Dirac operator. Publ. Math. IHES 58 (1983), 83-196. | Numdam | MR | Zbl

[K+T] F. Kamber and P. Tondeur : deRham-Hodge theory for Riemannian foliations. Math. Ann. 277 (1987), 415-431. | MR | Zbl

[Lo] E. Looijenga : L2-cohomology of locally symmetric varieties. Compos. Math. 67 (1988), 3-20. | Numdam | MR | Zbl

[McP] R. Macpherson : Global questions in the topology of singular spaces. Proc. ICM 1983 Warszawa, vol. 1, pp. 213-235, Warszawa : Polish Scientific Publishers 1984. | Zbl

[Mo] H. Moscovici : L2-index of elliptic operators on locally symmetric spaces of finite volume. In : Operator Algebras and K-Theory, Contemp. Math. 10 (1982), 129-138. Am. Math. Soc., Providence R.I. | MR | Zbl

[Mü1] W. Müller : Manifolds with cusps of rank one : spectral theory and L2-index theorem. Lect. Notes in Math. 1244. Springer : Berlin-Heidelberg-New York 1987. | Zbl

[Mü2] W. Müller : L2-index theory, eta invariants, and values of L-functions. Preprint, Karl-Weierstraβ-Institut, Berlin 1989.

[R] J. Roe : An index theorem on open manifolds I, II. J. Differ. Geom. 27 (1988), 87-113, and J. Differ. Geom. 27 (1988), 115-136. | MR | Zbl

[Sa+St] L. Saper and M. Stern : L2-cohomology of arithmetic varieties. Proc. Natl. Acad. Sci. USA 84 (1987), 5516-5519. | MR | Zbl

[St] M. Stern : L2-index theorems on locally symmetric spaces. Invent. Math. 96 (1989), 231-282. | MR | Zbl

[W] E. Witten : Global gravitational anomalies. Commun. Math. Phys. 100 (1985), 197-229. | MR | Zbl