@incollection{JEDP_1989____A3_0, author = {Br\"uning, Jochen}, title = {Spectral analysis on singular spaces}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {3}, pages = {1--9}, publisher = {Ecole polytechnique}, year = {1989}, language = {en}, url = {http://www.numdam.org/item/JEDP_1989____A3_0/} }
Brüning, Jochen. Spectral analysis on singular spaces. Journées équations aux dérivées partielles (1989), article no. 3, 9 p. http://www.numdam.org/item/JEDP_1989____A3_0/
[An] L2-harmonic forms and a conjecture by Dodziuk-Singer. Bull. Am. Math. Soc. 13 (1985), 163-166. | MR | Zbl
:[At] Elliptic operators, discrete groups and von Neumann algebras. Astérisque 32/33 (1976), 43-72. | Numdam | MR | Zbl
:[At+Bo+Pa] On the heat equation and the index theorem. Invent. Math. 19 (1973), 279-330. | MR | Zbl
, , and :[At+Do+Si] Eta invariants, signature defects of cusps, and values of L-functions. Ann. Math. 118 (1983), 131-177. | MR | Zbl
, , and :[Bi+Ch] Eta invariants and their adiabatic limits. J. Am. Math. Soc. 2 (1989), 33-70. | MR | Zbl
and :[Bi+F] The analysis of elliptic families : metrics and connections on determinant bundles. Commun. Math. Phys. 106 (1986), 159-176. | MR | Zbl
and :[Ba+Mo] L2-index and the Selberg trace formula. J. Funct. Anal. 53 (1983), 151-201. | MR | Zbl
and :[Br+H] Representations of compact Lie groups and elliptic operators. Invent. Math. 50 (1979), 169-203. | MR | Zbl
and :[Br+Sch] On the absence of log terms in the constant curvature case. Asymptotic Anal. 1 (1988), 193-203. | MR | Zbl
and :[Br+Pe+Sch] The ∂-operator on algebraic curves. Preprint, Universität Augsburg 1989. | Zbl
, , and :[Br+Se1] Regular singular asymptotics. Adv. Math. 58 (1985), 133-148. | MR | Zbl
and :[Br+Se2] An index theorem for first order regular singular operators. Am. J. Math. 110 (1988), 659-714. | MR | Zbl
and :[Br+Se3] The expansion of the resolvent near a singular stratum of conical type. Preprint, Universität Augsburg 1989.
and :[Br+K] On the spectral theory of foliated Dirac operators. In preparation.
and :[Br] L2-index theorems for certain complete manifolds. Preprint, Universität Augsburg 1988.
:[Ch1] Spectral geometry of singular Riemannian spaces. J. Differ. Geom. 18 (1983), 575-657. | MR | Zbl
:[Ch2] η-invariants, the adiabatic approximation and conical singularities. J. Differ. Geom. 26 (1987), 175-221. | MR | Zbl
:[Ch+Go+McP] L2-cohomology and intersection homology of singular algebraic varieties. In “Seminar on Differential Geometry”, Ann. Math. Stud. 102 (1982), 303-340. | MR | Zbl
, , and :[Co+Mo] The L2-index theorem for homogeneous spaces of Lie groups. Ann. Math. 115 (1982), 291-330. | MR | Zbl
and :[Dod1] L2-harmonic forms on rotationally symmetric Riemannian manifolds. Proc. Am. Math. Soc. 77 (1979), 395-400. | MR | Zbl
:[Dod2] L2-harmonic forms on complete manifolds. In “Seminar on Differential Geometry”, Ann. Math. Stud. 102 (1982), 291-302. | Zbl
:[Lap+Fl] 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
and :[Ge] A short proof of the local Atiyah-Singer index theorem. Topology 25 (1986), 119-117. | MR | Zbl
:[Gr] Kähler hyperbolicity and L2-Hodge theory. Preprint, IHES 1989.
:[Gr+La] Positive scalar curvature and the Dirac operator. Publ. Math. IHES 58 (1983), 83-196. | Numdam | MR | Zbl
and :[K+T] deRham-Hodge theory for Riemannian foliations. Math. Ann. 277 (1987), 415-431. | MR | Zbl
and :[Lo] L2-cohomology of locally symmetric varieties. Compos. Math. 67 (1988), 3-20. | Numdam | MR | Zbl
:[McP] Global questions in the topology of singular spaces. Proc. ICM 1983 Warszawa, vol. 1, pp. 213-235, Warszawa : Polish Scientific Publishers 1984. | Zbl
:[Mo] 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] 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] L2-index theory, eta invariants, and values of L-functions. Preprint, Karl-Weierstraβ-Institut, Berlin 1989.
:[R] 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] L2-cohomology of arithmetic varieties. Proc. Natl. Acad. Sci. USA 84 (1987), 5516-5519. | MR | Zbl
and :[St] L2-index theorems on locally symmetric spaces. Invent. Math. 96 (1989), 231-282. | MR | Zbl
:[W] Global gravitational anomalies. Commun. Math. Phys. 100 (1985), 197-229. | MR | Zbl
: