Spectral analysis on singular spaces

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1. [An] M. Anderson : L2-harmonic forms and a conjecture by Dodziuk-Singer. Bull. Am. Math. Soc. 13 (1985), 163-166. Zbl0573.53025MR87a:58153
2. [At] M.F. Atiyah : Elliptic operators, discrete groups and von Neumann algebras. Astérisque 32/33 (1976), 43-72. Zbl0323.58015MR54 #8741
3. [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. Zbl0257.58008MR58 #31287
4. [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. Zbl0531.58048MR86g:58134a
5. [Bi+Ch] J.M. Bismut and J. Cheeger : Eta invariants and their adiabatic limits. J. Am. Math. Soc. 2 (1989), 33-70. Zbl0671.58037MR89k:58269
6. [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. Zbl0657.58037MR88h:58110a
7. [Ba+Mo] D. Barbasch and H. Moscovici : L2-index and the Selberg trace formula. J. Funct. Anal. 53 (1983), 151-201. Zbl0537.58039MR85j:58137
8. [Br+H] J. Brüning and E. Heintze : Representations of compact Lie groups and elliptic operators. Invent. Math. 50 (1979), 169-203. Zbl0392.58015MR81b:58039
9. [Br+Sch] J. Brüning and H. Schröder : On the absence of log terms in the constant curvature case. Asymptotic Anal. 1 (1988), 193-203. Zbl0659.53038MR89m:58203
10. [Br+Pe+Sch] J. Brüning, N. Peyerimhoff, and H. Schröder : The ∂-operator on algebraic curves. Preprint, Universität Augsburg 1989. Zbl0708.32007
11. [Br+Se1] J. Brüning and R.T. Seeley : Regular singular asymptotics. Adv. Math. 58 (1985), 133-148. Zbl0593.47047MR87b:41032
12. [Br+Se2] J. Brüning and R.T. Seeley : An index theorem for first order regular singular operators. Am. J. Math. 110 (1988), 659-714. Zbl0664.58035MR89k:58271
13. [Br+Se3] J. Brüning and R.T. Seeley : The expansion of the resolvent near a singular stratum of conical type. Preprint, Universität Augsburg 1989. 
14. [Br+K] J. Brüning and F. Kamber : On the spectral theory of foliated Dirac operators. In preparation. 
15. [Br] J. Brüning : L2-index theorems for certain complete manifolds. Preprint, Universität Augsburg 1988. 
16. [Ch1] J. Cheeger : Spectral geometry of singular Riemannian spaces. J. Differ. Geom. 18 (1983), 575-657. Zbl0529.58034MR85d:58083
17. [Ch2] J. Cheeger : η-invariants, the adiabatic approximation and conical singularities. J. Differ. Geom. 26 (1987), 175-221. Zbl0623.58021MR89c:58123
18. [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. Zbl0503.14008MR84f:58005
19. [Co+Mo] A. Connes and H. Moscovici : The L2-index theorem for homogeneous spaces of Lie groups. Ann. Math. 115 (1982), 291-330. Zbl0515.58031MR84f:58108
20. [Dod1] J. Dodziuk : L2-harmonic forms on rotationally symmetric Riemannian manifolds. Proc. Am. Math. Soc. 77 (1979), 395-400. Zbl0423.58002MR81e:58004
21. [Dod2] J. Dodziuk : L2-harmonic forms on complete manifolds. In “Seminar on Differential Geometry”, Ann. Math. Stud. 102 (1982), 291-302. Zbl0484.53033
22. [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. Zbl0654.35079MR89d:35133
23. [Ge] E. Getzler : A short proof of the local Atiyah-Singer index theorem. Topology 25 (1986), 119-117. Zbl0607.58040MR87h:58207
24. [Gr] M. Gromov : Kähler hyperbolicity and L2-Hodge theory. Preprint, IHES 1989. 
25. [Gr+La] M. Gromov and H.B. Lawson : Positive scalar curvature and the Dirac operator. Publ. Math. IHES 58 (1983), 83-196. Zbl0538.53047MR85g:58082
26. [K+T] F. Kamber and P. Tondeur : deRham-Hodge theory for Riemannian foliations. Math. Ann. 277 (1987), 415-431. Zbl0637.53043MR89d:53070
27. [Lo] E. Looijenga : L2-cohomology of locally symmetric varieties. Compos. Math. 67 (1988), 3-20. Zbl0658.14010MR90a:32044
28. [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. Zbl0612.57012
29. [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. Zbl0495.58026MR83m:58072
30. [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. Zbl0632.58001
31. [Mü2] W. Müller : L2-index theory, eta invariants, and values of L-functions. Preprint, Karl-Weierstraβ-Institut, Berlin 1989. 
32. [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. Zbl0657.58041MR89a:58102
33. [Sa+St] L. Saper and M. Stern : L2-cohomology of arithmetic varieties. Proc. Natl. Acad. Sci. USA 84 (1987), 5516-5519. Zbl0653.14010MR89g:32052
34. [St] M. Stern : L2-index theorems on locally symmetric spaces. Invent. Math. 96 (1989), 231-282. Zbl0694.58039MR90k:58212
35. [W] E. Witten : Global gravitational anomalies. Commun. Math. Phys. 100 (1985), 197-229. Zbl0581.58038MR87k:58282