메뉴 건너뛰기




Volumn 48, Issue 1, 1998, Pages 165-203

The trace class conjecture for arithmetic groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038898593     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214460610     Document Type: Article
Times cited : (11)

References (34)
  • 2
    • 0002021170 scopus 로고
    • A trace formula for reductive groups. II
    • J. Arthur, A trace formula for reductive groups. II, Compositio Math. 40 (1980) 87-121.
    • (1980) Compositio Math , vol.40 , pp. 87-121
    • Arthur, J.1
  • 3
    • 0001665299 scopus 로고    scopus 로고
    • Eisenstein series and the trace formula, Automorphic forms, representations, and L-functions
    • A.Borel and W. Casselman, Amer. Math. Soc
    • J. Arthur, Eisenstein series and the trace formula, Automorphic forms, representations, and L-functions, (eds. A.Borel and W. Casselman), Proc. Of Symp. in Pure Math. Vol 33, Part 1, Amer. Math. Soc., 1977, 253-274.
    • (1997) Proc. Of Symp. In Pure Math , vol.33 , pp. 253-274
    • Arthur, J.1
  • 5
    • 0000249584 scopus 로고
    • Laplacian and the discrete spectrum of an arithmetic group
    • A. Borel & H. Garland, Laplacian and the discrete spectrum of an arithmetic group, Amer. J. Math. 105 (1983) 309-335.
    • (1983) Amer. J. Math , vol.105 , pp. 309-335
    • Borel, A.1    Garland, H.2
  • 9
    • 84972508387 scopus 로고
    • On the cuspidal spectrum for finite volume symmetric spaces
    • H. Donnelly, On the cuspidal spectrum for finite volume symmetric spaces, J. Differential Geom. 17 (1982) 239-253.
    • (1982) J. Differential Geom , vol.17 , pp. 239-253
    • Donnelly, H.1
  • 10
    • 0001150826 scopus 로고
    • Eigenvalue estimates for certain noncompact manifolds
    • H. Donnelly, Eigenvalue estimates for certain noncompact manifolds, Michigan Math. J. 31 (1984) 349-357.
    • (1984) Michigan Math. J , vol.31 , pp. 349-357
    • Donnelly, H.1
  • 11
    • 0011037379 scopus 로고
    • Unitary representations in homogeneous spaces with discrete stationary groups
    • I. M. Gelfand & I. I. Piatetski-Shapiro, Unitary representations in homogeneous spaces with discrete stationary groups, Sov. Math., Dokl. 3 (1962) 1528-1531.
    • (1962) Sov. Math., Dokl , vol.3 , pp. 1528-1531
    • Gelfand, I.M.1    Piatetski-Shapiro, I.I.2
  • 12
    • 0004287911 scopus 로고    scopus 로고
    • Compjactifications of symmetric spaces, to appear in Progr
    • Birkhàuser, Boston
    • Y. Guivarc’h, L. Ji & J. C. Taylor, Compjactifications of symmetric spaces, to appear in Progr. Math., Vol. 156, Birkhàuser, Boston, 1998.
    • (1998) Math , vol.156
    • Guivarc’h, Y.1    Ji, L.2    Taylor, J.C.3
  • 13
    • 0003263622 scopus 로고
    • Automorphic forms on semisimple Lie groups
    • Springer, Berlin
    • Harish-Chandra, H Automorphic forms on semisimple Lie groups, Lecture Notes in Math. Vol. 62, Springer, Berlin, 1968.
    • (1968) Lecture Notes in Math , vol.62
    • Harish-Chandra, H.1
  • 14
    • 0031287703 scopus 로고    scopus 로고
    • The trace class conjecture and the Weyl upper bound on the discrete spectrum of arithmetic groups
    • L. Ji, The trace class conjecture and the Weyl upper bound on the discrete spectrum of arithmetic groups, Math. Res. Lett. 4 (1997) 501-511.
    • (1997) Math. Res. Lett , vol.4 , pp. 501-511
    • Ji, L.1
  • 18
    • 0039674584 scopus 로고
    • Rank-one residues of Eisenstein series, Festschrift in honor of I. I. Piatetski-Shapiro on the occasion of his sixtieth birthday
    • Weizmann, Jerusalem
    • R. Langlands, Rank-one residues of Eisenstein series, Festschrift in honor of I. I. Piatetski-Shapiro on the occasion of his sixtieth birthday, Part II, Israel Math. Conf. Proc. Vol.3, Weizmann, Jerusalem, 1990, 111-125.
    • (1990) Israel Math. Conf. Proc , vol.3 , pp. 111-125
    • Langlands, R.1
  • 19
    • 0003308070 scopus 로고
    • On the functional equations satisfied by Eisenstein series
    • Springer, Berlin
    • R. Langlands, On the functional equations satisfied by Eisenstein series, Lecture Notes in Math. Vol. 544, Springer, Berlin, 1976.
    • (1976) Lecture Notes in Math , vol.544
    • Langlands, R.1
  • 22
    • 0000338428 scopus 로고
    • The trace class conjecture in the theory of automorphic forms
    • W. Muller, The trace class conjecture in the theory of automorphic forms, Ann. Of Math. 130 (1989) 473-529.
    • (1989) Ann. Of Math , vol.130 , pp. 473-529
    • Muller, W.1
  • 24
    • 0031161183 scopus 로고    scopus 로고
    • The trace class conjecture without the K-finiteness assumption
    • W. Muller, The trace class conjecture without the K-finiteness assumption, C.R. Acad. Sci. Paris, 324 (1997) 1333-1338.
    • (1997) C.R. Acad. Sci. Paris , vol.324 , pp. 1333-1338
    • Muller, W.1
  • 26
    • 84966232251 scopus 로고
    • The Selberg trace formula. VIII
    • M. Osborne & G. Warner, The Selberg trace formula. VIII, Trans. Amer. Math. Soc. 324 (1991) 623-653.
    • (1991) Trans. Amer. Math. Soc , vol.324 , pp. 623-653
    • Osborne, M.1    Warner, G.2
  • 27
    • 84972560160 scopus 로고
    • The Selberg trace formula.II, Pacific
    • M. Osborne & G. Warner, The Selberg trace formula.II, Pacific J. Math. 106 (1983) 307-496.
    • (1983) J. Math , vol.106 , pp. 307-496
    • Osborne, M.1    Warner, G.2
  • 29
    • 0031446964 scopus 로고    scopus 로고
    • Tilings and finite energy retractions of locally symmetric spaces, Comment
    • L. Saper, Tilings and finite energy retractions of locally symmetric spaces, Comment. Math. Helv. 72 (1997) 167-202.
    • (1997) Math. Helv , vol.72 , pp. 167-202
    • Saper, L.1
  • 31
    • 0013206593 scopus 로고
    • Geometry of the Laplace-Beltrami operator on a complete Riemannian manifold, Progr
    • differential geometry, (eds. K. Shiohama)
    • H. Urakawa, Geometry of the Laplace-Beltrami operator on a complete Riemannian manifold, Progr. in differential geometry, (eds. K. Shiohama), Adv. Stud. Pure Math. Vol. 22, 1993, 347-406.
    • (1993) Adv. Stud. Pure Math , vol.22 , pp. 347-406
    • Urakawa, H.1
  • 32
    • 0000572718 scopus 로고
    • On the distribution of eigenvalues of the Laplacian of a locally symmetric space, Differential Geometry
    • B.Lawson), Pitman Monographs and Surveys in, Longman Scientific & Technical
    • N. Wallach, On the distribution of eigenvalues of the Laplacian of a locally symmetric space, Differential Geometry, (ed. B.Lawson), Pitman Monographs and Surveys in Pure and Appl. Math. Vol. 52, Longman Scientific & Technical, 1991, 337-350.
    • (1991) Pure and Appl. Math , vol.52 , pp. 337-350
    • Wallach, N.1
  • 33
    • 0002833820 scopus 로고
    • Selberg’s trace formula for nonuniform lattices: The R-rank 1 case, Adv
    • Academic Press, New York
    • G. Warner, Selberg’s trace formula for nonuniform lattices: The R-rank 1 case, Adv. in Math. Suppl. Stud., Vol.6, Academic Press, New York, 1979, 1-142.
    • (1979) Math. Suppl. Stud , vol.6 , pp. 1-142
    • Warner, G.1
  • 34
    • 85033883651 scopus 로고
    • Traceability on the discrete spectrum, The Selberg trace formula and related topics
    • D.Hejhal et al.)
    • G. Warner, Traceability on the discrete spectrum, The Selberg trace formula and related topics, (eds. D.Hejhal et al.), Contemp. Math. Vol 53, Amer. Math. Soc., 1984, 529-533.
    • (1984) Contemp. Math , vol.53 , pp. 529-533
    • Warner, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.