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Volumn 30, Issue 4-6, 2005, Pages 483-507

The residue determinant

Author keywords

Determinant; Multiplicative; Residue trace; Zeta

Indexed keywords


EID: 23444444016     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-200050102     Document Type: Article
Times cited : (17)

References (27)
  • 1
    • 0345043987 scopus 로고
    • Fibrés déterminants, déterminants régularises et mesures sur le espaces de modules de courbes complexes
    • Bost, J. (1988). Fibrés déterminants, déterminants régularises et mesures sur le espaces de modules de courbes complexes. Asterique 152:113-149.
    • (1988) Asterique , vol.152 , pp. 113-149
    • Bost, J.1
  • 2
    • 0037761515 scopus 로고
    • Conformal geometry and global invariants
    • Branson, T., Orsted, B. (1991). Conformal geometry and global invariants. Diff. Geom. Appl. 1:279-308.
    • (1991) Diff. Geom. Appl. , vol.1 , pp. 279-308
    • Branson, T.1    Orsted, B.2
  • 3
    • 23444436231 scopus 로고
    • On spectral projections of elliptic operators
    • Burak, T. (1970). On spectral projections of elliptic operators. Ann. Scusla. Norm. Sup. Pisa 24(3):209-230.
    • (1970) Ann. Scusla. Norm. Sup. Pisa , vol.24 , Issue.3 , pp. 209-230
    • Burak, T.1
  • 6
    • 23444443707 scopus 로고    scopus 로고
    • A resolvent approach to traces and zeta Laurent expansions
    • arXiv: math.AP/0311081
    • Grubb, G. (2005). A resolvent approach to traces and zeta Laurent expansions. AMS Contemp. Math. Proc. 366:67-93, arXiv: math.AP/0311081.
    • (2005) AMS Contemp. Math. Proc. , vol.366 , pp. 67-93
    • Grubb, G.1
  • 7
    • 0040857929 scopus 로고
    • Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems
    • Grubb, G., Seeley, R. (1995). Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems. Invent. Math. 481-529.
    • (1995) Invent. Math. , pp. 481-529
    • Grubb, G.1    Seeley, R.2
  • 8
    • 0000028731 scopus 로고
    • A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
    • Guillemin, V. (1985). A new proof of Weyl's formula on the asymptotic distribution of eigenvalues. Adv. Math. 102:184-201.
    • (1985) Adv. Math. , vol.102 , pp. 184-201
    • Guillemin, V.1
  • 9
    • 0004293970 scopus 로고
    • Interscience Tracts in Pure and Applied. Mathematics. New York: Wiley
    • Jacobson, N. (1962). Lie Algebras. Interscience Tracts in Pure and Applied. Mathematics. Vol. 10. New York: Wiley.
    • (1962) Lie Algebras , vol.10
    • Jacobson, N.1
  • 10
    • 0000887782 scopus 로고
    • Le résidu non-commutatif d'Après M.Wodzicki
    • Kassel, C. (1989). Le résidu non-commutatif [d'Après M.Wodzicki. Asterique 177-178: 199-229.
    • (1989) Asterique , vol.177-178 , pp. 199-229
    • Kassel, C.1
  • 11
    • 0000396875 scopus 로고
    • Determinants of eliptic pseudodifferential operators
    • arXiv: hep-th/9404046 Geometry of Determinants of Elliptic Operators. Functional Analysis on the Eve of the 21st Century 1. Birkhäuser;
    • Kontsevich, M., Vishik, S. (1994, 1995). Determinants of Elliptic Pseudodifferential Operators arXiv: hep-th/9404046 Geometry of Determinants of Elliptic Operators. Functional Analysis on the Eve of the 21st Century 1. Birkhäuser; Progr. Math. 131:173-197.
    • (1994) Progr. Math. , vol.131 , pp. 173-197
    • Kontsevich, M.1    Vishik, S.2
  • 12
    • 84972530647 scopus 로고
    • Curvature and the eigenvalues of the Laplacian
    • McKean, H., Singer, I. (1967). Curvature and the eigenvalues of the Laplacian. J. Diff. Geom. 1:43-69.
    • (1967) J. Diff. Geom. , vol.1 , pp. 43-69
    • McKean, H.1    Singer, I.2
  • 13
    • 0038294284 scopus 로고    scopus 로고
    • Relative zeta functions, relative determinants and scattering theory
    • Müller, W. (1998). Relative zeta functions, relative determinants and scattering theory. Comm. Math. Phys. 192:309-347.
    • (1998) Comm. Math. Phys. , vol.192 , pp. 309-347
    • Müller, W.1
  • 14
    • 84973999908 scopus 로고
    • The Campbell-Hausdorff theorem for elliptic operators and a related trace formula
    • Okikiolu, K. (1995a). The Campbell-Hausdorff theorem for elliptic operators and a related trace formula. Duke Math. J. 79:687-722.
    • (1995) Duke Math. J. , vol.79 , pp. 687-722
    • Okikiolu, K.1
  • 15
    • 84973997943 scopus 로고
    • The multiplicative anomaly for determinants of elliptic operators
    • Okikiolu, K. (1995b). The multiplicative anomaly for determinants of elliptic operators. Duke Math. J. 79:723-750.
    • (1995) Duke Math. J. , vol.79 , pp. 723-750
    • Okikiolu, K.1
  • 17
    • 77951882765 scopus 로고    scopus 로고
    • Traces and characteristic classes on loop groups
    • Turavev, V., Wurzbacher, T., eds. Berlin: de Gruyter
    • Paycha, S., Rosenberg, S. (2002). Traces and characteristic classes on loop groups. In: Turavev, V., Wurzbacher, T., eds. Infinite-dimensional Groups and Manifolds. Berlin: de Gruyter.
    • (2002) Infinite-dimensional Groups and Manifolds
    • Paycha, S.1    Rosenberg, S.2
  • 20
    • 0037141854 scopus 로고    scopus 로고
    • Zeta determinants on manifolds with boundary
    • Scott, S. (2002). Zeta determinants on manifolds with boundary. J. Funct. Anal. 192:112-185.
    • (2002) J. Funct. Anal. , vol.192 , pp. 112-185
    • Scott, S.1
  • 22
    • 0001738999 scopus 로고
    • AMS Proc. Symp. Pure Math. X, 1966. Providence AMS
    • Seeley, R. T. (1967). Complex Powers of an Elliptic Operator. AMS Proc. Symp. Pure Math. X, 1966. Providence AMS: pp. 288-307.
    • (1967) Complex Powers of an Elliptic Operator , pp. 288-307
    • Seeley, R.T.1
  • 25
    • 0009249649 scopus 로고
    • Spectral asymmetry and zeta functions
    • Wodzicki, M. (1982). Spectral asymmetry and zeta functions. Invent. Math. 66:115-135.
    • (1982) Invent. Math. , vol.66 , pp. 115-135
    • Wodzicki, M.1
  • 26
    • 0002794818 scopus 로고
    • Local invariants of spectral asymmetry
    • Wodzicki, M. (1984). Local invariants of spectral asymmetry. Invent. Math. 75:143-178.
    • (1984) Invent. Math. , vol.75 , pp. 143-178
    • Wodzicki, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.