Equidistribution of holonomy about closed geodesics

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Equidistribution of holonomy about closed geodesics

Peter Sarank and Mastao Wakayama

Source: Duke Math. J. Volume 100, Number 1 (1999), 1-57.

First Page: Show

Primary Subjects: 11F72

Secondary Subjects: 11M36, 22E45, 37C35

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References

[AdSu] Toshiaki Adachi and Toshikazu Sunada, Homology of closed geodesics in a negatively curved manifold, J. Differential Geom. 26 (1987), no. 1, 81–99.

Mathematical Reviews (MathSciNet): MR88g:58149

Zentralblatt MATH: 0618.58028

Project Euclid: euclid.jdg/1214441177

[Ar1] James Arthur, Some tempered distributions on semisimple groups of real rank one, Ann. of Math. (2) 100 (1974), 553–584.

Mathematical Reviews (MathSciNet): MR50:13381

Zentralblatt MATH: 0258.22014

Digital Object Identifier: doi:10.2307/1970958

[Ar2] James Arthur, The $L\sp 2$-Lefschetz numbers of Hecke operators, Invent. Math. 97 (1989), no. 2, 257–290.

Mathematical Reviews (MathSciNet): MR91i:22024

Zentralblatt MATH: 0692.22004

Digital Object Identifier: doi:10.1007/BF01389042

[AtSch]¹ Michael Atiyah and Wilfried Schmid, A geometric construction of the discrete series for semisimple Lie groups, Invent. Math. 42 (1977), 1–62.

Mathematical Reviews (MathSciNet): MR57:3310

Zentralblatt MATH: 0373.22001

Digital Object Identifier: doi:10.1007/BF01389783

[AtSch]² Michael Atiyah and Wilfried Schmid, Erratum: “A geometric construction of the discrete series for semisimple Lie groups”, Invent. Math. 54 (1979), no. 2, 189–192.

Mathematical Reviews (MathSciNet): MR81d:22015

Zentralblatt MATH: 0413.22009

Digital Object Identifier: doi:10.1007/BF01408936

[BS] M. Welleda Baldoni Silva, The embeddings of the discrete series in the principal series for semisimple Lie groups of real rank one, Trans. Amer. Math. Soc. 261 (1980), no. 2, 303–368.

Mathematical Reviews (MathSciNet): MR82b:22022

Zentralblatt MATH: 0502.22008

Digital Object Identifier: doi:10.2307/1998370

[BSBar] M. W. Baldoni Silva and D. Barbasch, The unitary spectrum for real rank one groups, Invent. Math. 72 (1983), no. 1, 27–55.

Mathematical Reviews (MathSciNet): MR84k:22022

Zentralblatt MATH: 0561.22009

Digital Object Identifier: doi:10.1007/BF01389128

[Bar] Dan Barbasch, Fourier inversion for unipotent invariant integrals, Trans. Amer. Math. Soc. 249 (1979), no. 1, 51–83.

Mathematical Reviews (MathSciNet): MR80j:22007

Zentralblatt MATH: 0378.22010

Digital Object Identifier: doi:10.2307/1998911

JSTOR: links.jstor.org

[BarMo] Dan Barbasch and Henri Moscovici, $L\sp2$-index and the Selberg trace formula, J. Funct. Anal. 53 (1983), no. 2, 151–201.

Mathematical Reviews (MathSciNet): MR85j:58137

Zentralblatt MATH: 0537.58039

Digital Object Identifier: doi:10.1016/0022-1236(83)90050-2

[BoWal] Armand Borel and Nolan R. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Annals of Mathematics Studies, vol. 94, Princeton University Press, Princeton, N.J., 1980.

Mathematical Reviews (MathSciNet): MR83c:22018

Zentralblatt MATH: 0443.22010

[Bour] N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles, No. 1337, Hermann, Paris, 1968.

Mathematical Reviews (MathSciNet): MR39:1590

Zentralblatt MATH: 0186.33001

[BunOl] Ulrich Bunke and Martin Olbrich, Selberg zeta and theta functions, Mathematical Research, vol. 83, Akademie-Verlag, Berlin, 1995, A Differential Operator Approach.

Mathematical Reviews (MathSciNet): MR97c:11088

Zentralblatt MATH: 0831.58001

[BuLS] M. Burger, J.-S. Li, and P. Sarnak, Ramanujan duals and automorphic spectrum, Bull. Amer. Math. Soc. (N.S.) 26 (1992), no. 2, 253–257.

Mathematical Reviews (MathSciNet): MR92h:22023

Zentralblatt MATH: 0762.22009

Digital Object Identifier: doi:10.1090/S0273-0979-1992-00267-7

[BuS] M. Burger and P. Sarnak, Ramanujan duals. II, Invent. Math. 106 (1991), no. 1, 1–11.

Mathematical Reviews (MathSciNet): MR92m:22005

Zentralblatt MATH: 0774.11021

Digital Object Identifier: doi:10.1007/BF01243900

[Chb] N. G.[N. Tschebotareff] Chebotarev, Die Bestimmung der Dichtigkeit einer Menge von Primzahlen, welche zu einer gegebenen Substitutionsklasse gehören, Math. Ann. 95 (1926), 191–228.

Mathematical Reviews (MathSciNet): MR1512273

Digital Object Identifier: doi:10.1007/BF01206606

[ChGrTa] Jeff Cheeger, Mikhail Gromov, and Michael Taylor, Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds, J. Differential Geom. 17 (1982), no. 1, 15–53.

Mathematical Reviews (MathSciNet): MR84b:58109

Zentralblatt MATH: 0493.53035

Project Euclid: euclid.jdg/1214436699

[CLPSS] J. Cogdell, J.-S. Li, I. Piatetski-Shapiro, and P. Sarnak, Poincaré series for $\rm SO(n,1)$, Acta Math. 167 (1991), no. 3-4, 229–285.

Mathematical Reviews (MathSciNet): MR93h:11050

Zentralblatt MATH: 0743.11028

Digital Object Identifier: doi:10.1007/BF02392451

[DG1] David L. DeGeorge, Length spectrum for compact locally symmetric spaces of strictly negative curvature, Ann. Sci. École Norm. Sup. (4) 10 (1977), no. 2, 133–152.

Mathematical Reviews (MathSciNet): MR81i:58047

Zentralblatt MATH: 0367.53023

[DG2] David Lee DeGeorge, On a theorem of Osborne and Warner. Multiplicities in the cuspidal spectrum, J. Funct. Anal. 48 (1982), no. 1, 81–94.

Mathematical Reviews (MathSciNet): MR84h:22027

Zentralblatt MATH: 0503.22008

Digital Object Identifier: doi:10.1016/0022-1236(82)90062-3

[DGWal1] David L. de George and Nolan R. Wallach, Limit formulas for multiplicities in $L\sp2(\Gamma \backslash G)$, Ann. Math. (2) 107 (1978), no. 1, 133–150.

Mathematical Reviews (MathSciNet): MR58:11231

Zentralblatt MATH: 0367.53023

Digital Object Identifier: doi:10.2307/1971140

JSTOR: links.jstor.org

[DGWal2] David L. DeGeorge and Nolan R. Wallach, Limit formulas for multiplicities in $L\sp2(\Gamma \backslash G)$. II. The tempered spectrum, Ann. of Math. (2) 109 (1979), no. 3, 477–495.

Mathematical Reviews (MathSciNet): MR81g:22010

Zentralblatt MATH: 0482.43006

Digital Object Identifier: doi:10.2307/1971222

JSTOR: links.jstor.org

[Do1] Harold Donnelly, On the cuspidal spectrum for finite volume symmetric spaces, J. Differential Geom. 17 (1982), no. 2, 239–253.

Mathematical Reviews (MathSciNet): MR83m:58079

Zentralblatt MATH: 0494.58029

Project Euclid: euclid.jdg/1214436921

[Do2] Harold Donnelly, Eigenvalue estimates for certain noncompact manifolds, Michigan Math. J. 31 (1984), no. 3, 349–357.

Mathematical Reviews (MathSciNet): MR86d:58120

Zentralblatt MATH: 0591.58033

Digital Object Identifier: doi:10.1307/mmj/1029003079

Project Euclid: euclid.mmj/1029003079

[E] Charles L. Epstein, Asymptotics for closed geodesics in a homology class, the finite volume case, Duke Math. J. 55 (1987), no. 4, 717–757.

Mathematical Reviews (MathSciNet): MR89c:58098

Zentralblatt MATH: 0648.58041

Digital Object Identifier: doi:10.1215/S0012-7094-87-05536-0

Project Euclid: euclid.dmj/1077306296

[GaVa] Ramesh Gangolli and V. S. Varadarajan, Harmonic analysis of spherical functions on real reductive groups, Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas], vol. 101, Springer-Verlag, Berlin, 1988.

Mathematical Reviews (MathSciNet): MR89m:22015

Zentralblatt MATH: 0675.43004

[GaWar] Ramesh Gangolli and Garth Warner, Zeta functions of Selberg's type for some noncompact quotients of symmetric spaces of rank one, Nagoya Math. J. 78 (1980), 1–44.

Mathematical Reviews (MathSciNet): MR82m:58049

Project Euclid: euclid.nmj/1118786087

[GoWal] Roe Goodman and Nolan R. Wallach, Representations and invariants of the classical groups, Encyclopedia of Mathematics and its Applications, vol. 68, Cambridge University Press, Cambridge, 1998.

Mathematical Reviews (MathSciNet): MR99b:20073

Zentralblatt MATH: 0901.22001

[HC1] Harish-Chandra, Automorphic forms on semisimple Lie groups, Notes by J. G. M. Mars. Lecture Notes in Mathematics, No. 62, Springer-Verlag, Berlin, 1968.

Mathematical Reviews (MathSciNet): MR38:1216

Zentralblatt MATH: 0186.04702

[HC2] Harish-Chandra, Harmonic analysis on real reductive groups. III. The Maass-Selberg relations and the Plancherel formula, Ann. of Math. (2) 104 (1976), no. 1, 117–201.

Mathematical Reviews (MathSciNet): MR55:12875

Zentralblatt MATH: 0331.22007

Digital Object Identifier: doi:10.2307/1971058

JSTOR: links.jstor.org

[Hej] Dennis A. Hejhal, The Selberg trace formula for $\rm PSL(2,\,\bf R)$. Vol. 2, Lecture Notes in Mathematics, vol. 1001, Springer-Verlag, Berlin, 1983.

Mathematical Reviews (MathSciNet): MR86e:11040

Zentralblatt MATH: 0543.10020

[Hel] Sigurur Helgason, A duality for symmetric spaces with applications to group representations, Advances in Math. 5 (1970), 1–154 (1970).

Mathematical Reviews (MathSciNet): MR41:8587

Zentralblatt MATH: 0209.25403

Digital Object Identifier: doi:10.1016/0001-8708(70)90037-X

[Hoff] Werner Hoffmann, The Fourier transforms of weighted orbital integrals on semisimple groups of real rank one, J. Reine Angew. Math. 489 (1997), 53–97.

Mathematical Reviews (MathSciNet): MR98h:22017

Zentralblatt MATH: 0876.43006

Digital Object Identifier: doi:10.1515/crll.1997.489.53

[HoPar] R. Hotta and R. Parthasarathy, Multiplicity formulae for discrete series, Invent. Math. 26 (1974), 133–178.

Mathematical Reviews (MathSciNet): MR50:539

Zentralblatt MATH: 0298.22013

Digital Object Identifier: doi:10.1007/BF01435692

[Ji] Lizhen Ji, The trace class conjecture for arithmetic groups, J. Differential Geom. 48 (1998), no. 1, 165–203.

Mathematical Reviews (MathSciNet): MR99b:11057

Zentralblatt MATH: 0926.11034

Project Euclid: euclid.jdg/1214460610

[Jo] Kenneth D. Johnson, Paley-Wiener theorems on groups of split rank one, J. Funct. Anal. 34 (1979), no. 1, 54–71.

Mathematical Reviews (MathSciNet): MR82c:22013

Zentralblatt MATH: 0433.43009

Digital Object Identifier: doi:10.1016/0022-1236(79)90024-7

[KdSu1] Atsushi Katsuda and Toshikazu Sunada, Homology and closed geodesics in a compact Riemann surface, Amer. J. Math. 110 (1988), no. 1, 145–155.

Mathematical Reviews (MathSciNet): MR89e:58093

Zentralblatt MATH: 0647.53036

Digital Object Identifier: doi:10.2307/2374542

JSTOR: links.jstor.org

[KdSu2] Atsushi Katsuda and Toshikazu Sunada, Closed orbits in homology classes, Inst. Hautes Études Sci. Publ. Math. (1990), no. 71, 5–32.

Mathematical Reviews (MathSciNet): MR92m:58102

Zentralblatt MATH: 0728.58026

Digital Object Identifier: doi:10.1007/BF02699875

[KzS] Nicholas M. Katz and Peter Sarnak, Random matrices, Frobenius eigenvalues, and monodromy, American Mathematical Society Colloquium Publications, vol. 45, American Mathematical Society, Providence, RI, 1999.

Mathematical Reviews (MathSciNet): MR2000b:11070

Zentralblatt MATH: 0958.11004

[Kn] Anthony W. Knapp, Representation theory of semisimple groups: An Overview Based on Examples, Princeton Mathematical Series, vol. 36, Princeton University Press, Princeton, NJ, 1986.

Mathematical Reviews (MathSciNet): MR87j:22022

Zentralblatt MATH: 0604.22001

[KnWal]¹ A. W. Knapp and N. R. Wallach, Szegö kernels associated with discrete series, Invent. Math. 34 (1976), no. 3, 163–200.

Mathematical Reviews (MathSciNet): MR54:7704

Zentralblatt MATH: 0332.22015

Digital Object Identifier: doi:10.1007/BF01403066

[KnWal]² A. W. Knapp and N. R. Wallach, Correction and addition: “Szegő kernels associated with discrete series”, Invent. Math. 62 (1980/81), no. 2, 341–346.

Mathematical Reviews (MathSciNet): MR82i:22016

Zentralblatt MATH: 0452.22016

Digital Object Identifier: doi:10.1007/BF01389165

[La1] R. P. Langlands, The dimension of spaces of automorphic forms, Amer. J. Math. 85 (1963), 99–125.

Mathematical Reviews (MathSciNet): MR27:6286

Zentralblatt MATH: 0113.25802

Digital Object Identifier: doi:10.2307/2373189

JSTOR: links.jstor.org

[La2] Robert P. Langlands, On the functional equations satisfied by Eisenstein series, Springer-Verlag, Berlin, 1976.

Mathematical Reviews (MathSciNet): MR58:28319

Zentralblatt MATH: 0332.10018

[Le] J. Lepowsky, Multiplicity formulas for certain semisimple Lie groups, Bull. Amer. Math. Soc. 77 (1971), 601–605.

Mathematical Reviews (MathSciNet): MR46:300

Zentralblatt MATH: 0228.17003

Digital Object Identifier: doi:10.1090/S0002-9904-1971-12767-2

Project Euclid: euclid.bams/1183532948

[Mar] G. A. Margulis, Certain applications of ergodic theory to the investigation of manifolds of negative curvature, Funkcional. Anal. i Priložen. 3 (1969), no. 4, 89–90, (in Russian), English transl. in Funct. Anal. Appl. 3 (1969) 335–336.

Mathematical Reviews (MathSciNet): MR41:2582

Zentralblatt MATH: 0207.20305

[MaMu] Yozô Matsushima and Shingo Murakami, On certain cohomology groups attached to Hermitian symmetric spaces. II, Osaka J. Math. 5 (1968), 223–241.

Mathematical Reviews (MathSciNet): MR42:1145

Zentralblatt MATH: 0183.26103

Project Euclid: euclid.ojm/1200692169

[Mia1]¹ Roberto J. Miatello, The Minakshisundaram-Pleijel coefficients for the vector-valued heat kernel on compact locally symmetric spaces of negative curvature, Trans. Amer. Math. Soc. 260 (1980), no. 1, 1–33.

Mathematical Reviews (MathSciNet): MR81f:58033

Zentralblatt MATH: 0444.58015

Digital Object Identifier: doi:10.2307/1999874

[Mia1]² Roberto J. Miatello, Erratum to: “The Minakshisundaram-Pleijel coefficients for the vector-valued heat kernel on compact locally symmetric spaces of negative curvature”, Trans. Amer. Math. Soc. 264 (1981), no. 2, 587.

Mathematical Reviews (MathSciNet): MR83c:58076

Zentralblatt MATH: 0478.58025

Digital Object Identifier: doi:10.2307/1998561

[Mia2]¹ Roberto J. Miatello, An alternating sum formula for multiplicities in $L\sp2(\Gamma \backslash G)$, Trans. Amer. Math. Soc. 269 (1982), no. 2, 567–574.

Mathematical Reviews (MathSciNet): MR83f:22010

Zentralblatt MATH: 0482.22009

Digital Object Identifier: doi:10.2307/1998467

JSTOR: links.jstor.org

[Mia2]² Roberto J. Miatello, Alternating sum formulas for multiplicities in $\cal L\sp2(\Gamma \backslash G)$. II, Math. Z. 182 (1983), no. 1, 35–43.

Mathematical Reviews (MathSciNet): MR84k:22017

Zentralblatt MATH: 0489.22016

Digital Object Identifier: doi:10.1007/BF01162591

[MiaVa] Roberto J. Miatello and Jorge A. Vargas, On the distribution of the principal series in $L\sp2(\Gamma \backslash G)$, Trans. Amer. Math. Soc. 279 (1983), no. 1, 63–75.

Mathematical Reviews (MathSciNet): MR86i:22025

Zentralblatt MATH: 0522.22010

Digital Object Identifier: doi:10.2307/1999371

JSTOR: links.jstor.org

[Mil] John J. Millson, Closed geodesics and the $\eta$-invariant, Ann. of Math. (2) 108 (1978), no. 1, 1–39.

Mathematical Reviews (MathSciNet): MR58:18620

Zentralblatt MATH: 0399.58020

Digital Object Identifier: doi:10.2307/1970928

[Mos] G. D. Mostow, Discrete subgroups of Lie groups, Advances in Math. 16 (1975), 112–123.

Mathematical Reviews (MathSciNet): MR57:6293

Zentralblatt MATH: 0305.22015

Digital Object Identifier: doi:10.1016/0001-8708(75)90103-6

[Mü] Werner Müller, The trace class conjecture in the theory of automorphic forms, Ann. of Math. (2) 130 (1989), no. 3, 473–529.

Mathematical Reviews (MathSciNet): MR90m:11083

Zentralblatt MATH: 0701.11019

Digital Object Identifier: doi:10.2307/1971453

JSTOR: links.jstor.org

[OsWar] M. Scott Osborne and Garth Warner, Multiplicities of the integrable discrete series: the case of a nonuniform lattice in an $R$-rank one semisimple group, J. Funct. Anal. 30 (1978), no. 3, 287–310.

Mathematical Reviews (MathSciNet): MR81g:22011

Zentralblatt MATH: 0397.22002

Digital Object Identifier: doi:10.1016/0022-1236(78)90059-9

[PaPo] William Parry and Mark Pollicott, The Chebotarov theorem for Galois coverings of Axiom A flows, Ergodic Theory Dynam. Systems 6 (1986), no. 1, 133–148.

Mathematical Reviews (MathSciNet): MR88k:58124

Zentralblatt MATH: 0626.58006

Digital Object Identifier: doi:10.1017/S0143385700003333

[Par] R. Parthasarathy, Dirac operator and the discrete series, Ann. of Math. (2) 96 (1972), 1–30.

Mathematical Reviews (MathSciNet): MR47:6945

Zentralblatt MATH: 0249.22003

Digital Object Identifier: doi:10.2307/1970892

[PhS] Ralph Phillips and Peter Sarnak, Geodesics in homology classes, Duke Math. J. 55 (1987), no. 2, 287–297.

Mathematical Reviews (MathSciNet): MR88g:58151

Zentralblatt MATH: 0642.53050

Digital Object Identifier: doi:10.1215/S0012-7094-87-05515-3

Project Euclid: euclid.dmj/1077306021

[S] P. Sarnak, The arithmetic and geometry of some hyperbolic three-manifolds, Acta Math. 151 (1983), no. 3-4, 253–295.

Mathematical Reviews (MathSciNet): MR85d:11061

Zentralblatt MATH: 0527.10022

Digital Object Identifier: doi:10.1007/BF02393209

[Sch] Wilfried Schmid, On a conjecture of Langlands, Ann. of Math. (2) 93 (1971), 1–42.

Mathematical Reviews (MathSciNet): MR44:4149

Zentralblatt MATH: 0291.43013

Digital Object Identifier: doi:10.2307/1970751

[Sel] A. Selberg, Harmonic analysis, Collected Papers, Vol. I, Springer-Verlag, Berlin, 1989, pp. 626–674.

Mathematical Reviews (MathSciNet): MR1117906

[Tr] P. C. Trombi, Harmonic analysis of $\scr C\sp p(G\colon F)(1\leq p<2)$, J. Funct. Anal. 40 (1981), no. 1, 84–125.

Mathematical Reviews (MathSciNet): MR84a:22030

Zentralblatt MATH: 0465.22006

Digital Object Identifier: doi:10.1016/0022-1236(81)90074-4

[Vo] David A. Vogan, Jr., The algebraic structure of the representation of semisimple Lie groups. I, Ann. of Math. (2) 109 (1979), no. 1, 1–60.

Mathematical Reviews (MathSciNet): MR81j:22020

Zentralblatt MATH: 0424.22010

Digital Object Identifier: doi:10.2307/1971266

[VoZu] David A. Vogan, Jr. and Gregg J. Zuckerman, Unitary representations with nonzero cohomology, Compositio Math. 53 (1984), no. 1, 51–90.

Mathematical Reviews (MathSciNet): MR86k:22040

Zentralblatt MATH: 0692.22008

[W] Masato Wakayama, Zeta functions of Selberg's type associated with homogeneous vector bundles, Hiroshima Math. J. 15 (1985), no. 2, 235–295.

Mathematical Reviews (MathSciNet): MR86m:22026

Zentralblatt MATH: 0592.22012

Project Euclid: euclid.hmj/1206130772

[Wal1] Nolan R. Wallach, Harmonic analysis on homogeneous spaces, vol. 19, Marcel Dekker Inc., New York, 1973.

Mathematical Reviews (MathSciNet): MR58:16978

Zentralblatt MATH: 0265.22022

[Wal2] Nolan R. Wallach, On the Selberg trace formula in the case of compact quotient, Bull. Amer. Math. Soc. 82 (1976), no. 2, 171–195.

Mathematical Reviews (MathSciNet): MR53:8333

Zentralblatt MATH: 0351.22008

Digital Object Identifier: doi:10.1090/S0002-9904-1976-13979-1

Project Euclid: euclid.bams/1183537752

[War] Garth Warner, Selberg's trace formula for nonuniform lattices: the $R$-rank one case, Studies in algebra and number theory, Adv. in Math. Suppl. Stud., vol. 6, Academic Press, New York, 1979, pp. 1–142.

Mathematical Reviews (MathSciNet): MR81f:10044

Zentralblatt MATH: 0466.10018

[Wil1] Floyd L. Williams, Discrete series multiplicities in $L\sp2(\Gamma\setminus G)$, Amer. J. Math. 106 (1984), no. 1, 137–148.

Mathematical Reviews (MathSciNet): MR85j:22029

Zentralblatt MATH: 0547.22007

Digital Object Identifier: doi:10.2307/2374432

JSTOR: links.jstor.org

[Wil2] Floyd L. Williams, Note on a theorem of H. Moscovici, J. Funct. Anal. 72 (1987), no. 1, 28–32.

Mathematical Reviews (MathSciNet): MR88d:58109

Zentralblatt MATH: 0626.22009

Digital Object Identifier: doi:10.1016/0022-1236(87)90078-4

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