메뉴 건너뛰기




Volumn 45, Issue , 2008, Pages 227-237

Dixmier traceability for general pseudo-differential operators

Author keywords

Dixmier trace; Lorentz Marcinkiewicz space; Pseudo differential operators

Indexed keywords


EID: 84945750015     PISSN: 22970215     EISSN: 2297024X     Source Type: Book Series    
DOI: 10.1007/978-3-7643-8604-7_11     Document Type: Conference Paper
Times cited : (10)

References (24)
  • 2
    • 0141615002 scopus 로고    scopus 로고
    • Non-commutative residues for anisotropic pseudo-differential operators in Rn
    • P. Boggiatto, F. Nicola, Non-commutative residues for anisotropic pseudo-differential operators in Rn. J. Funct. Anal. 203 (2003), 305-320.
    • (2003) J. Funct. Anal , vol.203 , pp. 305-320
    • Boggiatto, P.1    Nicola, F.2
  • 4
    • 20444413413 scopus 로고
    • The action functional in non-commutative geometry
    • A. Connes, The action functional in non-commutative geometry. Comm. Math. Physics 117 (1988), 673-683.
    • (1988) Comm. Math. Physics 117 , pp. 673-683
    • Connes, A.1
  • 5
    • 0004261668 scopus 로고
    • Academic Press New York, London, Tokyo
    • A. Connes, Noncommutative Geometry. Academic Press, New York, London, Tokyo, 1994.
    • (1994) Noncommutative Geometry
    • Connes, A.1
  • 6
    • 0000151581 scopus 로고
    • The local index formula in noncommutative geometry
    • A. Connes, H. Moscovici, The local index formula in noncommutative geometry. Geom. Funct. Anal. 5 (1995), 174-243.
    • (1995) Geom. Funct. Anal , vol.5 , pp. 174-243
    • Connes, A.1    Moscovici, H.2
  • 7
    • 0347530273 scopus 로고    scopus 로고
    • Time-frequency analysis of localization operators
    • E. Cordero, K.H. Gröchenig, Time-frequency analysis of localization operators. J. Funct. Anal. 205 (2003), 107-131.
    • (2003) J. Funct. Anal , vol.205 , pp. 107-131
    • Cordero, E.1    Gröchenig, K.H.2
  • 8
    • 29844438067 scopus 로고    scopus 로고
    • Localization operators and exponential weights for modulation spaces
    • E. Cordero, S. Pilipovi'c, L. Rodino, N. Teofanov, Localization operators and exponential weights for modulation spaces. Mediterr. J. Math. 2 (2005), 381-394.
    • (2005) Mediterr. J. Math , vol.2 , pp. 381-394
    • Cordero, E.1    Pilipovi'C, S.2    Rodino, L.3    Teofanov, N.4
  • 9
    • 0001026377 scopus 로고
    • Existence de traces non normales
    • J. Dixmier, Existence de traces non normales. C.R. Acad. Sc. Paris, S'erie A, 262 (1966), 1107-1108.
    • (1966) C.R. Acad. Sc. Paris S'erie A , vol.262 , pp. 1107-1108
    • Dixmier, J.1
  • 12
    • 0030472638 scopus 로고    scopus 로고
    • An uncertainty principle related to the Poisson summation formula
    • K.H. Gröchenig, An uncertainty principle related to the Poisson summation formula. Studia Math. 121 (1996), 87-104.
    • (1996) Studia Math , vol.121 , pp. 87-104
    • Gröchenig, K.H.1
  • 15
    • 4244055755 scopus 로고
    • On the asymptotic distribution of the eigenvalues of pseudo-differential operators in Rn
    • L. Hörmander, On the asymptotic distribution of the eigenvalues of pseudo-differential operators in Rn. Arkiv för Mat. 17 (1979), 297-313.
    • (1979) Arkiv för Mat , vol.17 , pp. 297-313
    • Hörmander, L.1
  • 17
    • 0141479604 scopus 로고    scopus 로고
    • Trace functionals for a class of pseudo-differential operators in Rn
    • F. Nicola, Trace functionals for a class of pseudo-differential operators in Rn. Math. Phys. Anal. Geom. 6 (2003), 89-105.
    • (2003) Math. Phys. Anal. Geom , vol.6 , pp. 89-105
    • Nicola, F.1
  • 19
    • 17444425530 scopus 로고    scopus 로고
    • Boundary value problems and singular pseudo-differential operators
    • John Wiley & Sons, Chichester, England
    • B.-W. Schulze, Boundary value problems and singular pseudo-differential operators. Pure and Applied Mathematics, John Wiley & Sons, Chichester, England, 1998.
    • (1998) Pure and Applied Mathematics
    • Schulze, B.-W.1
  • 20
    • 0003296893 scopus 로고
    • The Weyl transfrom and Lp functions on phase space
    • B. Simon, The Weyl transfrom and Lp functions on phase space. Proc. Amer.Math. Soc. 116 (1992), 1045-1047.
    • (1992) Proc. Amer.Math. Soc , vol.116 , pp. 1045-1047
    • Simon, B.1
  • 21
    • 0042005655 scopus 로고    scopus 로고
    • Wodzicki's noncommutative residue and traces for operator algebras on manifolds with conical singularities
    • In L. Rodino, editor Kluwer Academic Publishers, Printed in the Netherlands 1997
    • E. Schrohe, Wodzicki's noncommutative residue and traces for operator algebras on manifolds with conical singularities. In L. Rodino, editor, Microlocal Analysis and Spectral Theory, 1997 Kluwer Academic Publishers, Printed in the Netherlands, 1997, 227-250.
    • (1997) Microlocal Analysis and Spectral Theory , pp. 227-250
    • Schrohe, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.