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Volumn 27, Issue 11-12, 2002, Pages 2333-2361

Complex powers of resolvents of pseudodifferential operators

Author keywords

Anisotropic weakly polyhomogeneous symbol; Asymptotic trace expansion; Complex power; Logarithmic term; Parameter dependent pseudodifferential operator; Resolvent

Indexed keywords


EID: 0036951472     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-120016160     Document Type: Article
Times cited : (9)

References (9)
  • 1
    • 0003279198 scopus 로고    scopus 로고
    • Functional Calculus of Pseudodifferential Boundary Problems
    • [G96] Birkhäuser: Boston
    • [G96] Grubb, G. Functional Calculus of Pseudodifferential Boundary Problems. In Progress in Math., 2nd Ed.; Birkhäuser: Boston, 1996; Vol. 65.
    • (1996) Progress in Math., 2nd Ed. , vol.65
    • Grubb, G.1
  • 2
    • 0002085730 scopus 로고    scopus 로고
    • Trace expansions for pseudodifferential boundary problems for dirac-type operators and more general systems
    • G99
    • [G99] Grubb, G. Trace Expansions for Pseudodifferential Boundary Problems for Dirac-Type Operators and More General Systems. Arkiv f. Mat. 1999, 37, 45-86.
    • (1999) Arkiv f. Mat. , vol.37 , pp. 45-86
    • Grubb, G.1
  • 3
    • 0001039595 scopus 로고    scopus 로고
    • A weakly polyhomogeneous calculus for pseudodifferential boundary problems
    • G01
    • [G01] Grubb, G. A Weakly Polyhomogeneous Calculus for Pseudodifferential Boundary Problems. J. Funct. Analysis 2001, 184, 19-76.
    • (2001) J. Funct. Analysis , vol.184 , pp. 19-76
    • Grubb, G.1
  • 4
    • 0040857929 scopus 로고
    • Weakly parametric pseudodifferential operators and atiyah-patodi-singer boundary problems
    • GS95
    • [GS95] Grubb, G.; Seeley, R. Weakly Parametric Pseudodifferential Operators and Atiyah-Patodi-Singer Boundary Problems. Inventiones Math. 1995, 121, 481-529.
    • (1995) Inventiones Math. , vol.121 , pp. 481-529
    • Grubb, G.1    Seeley, R.2
  • 5
    • 0001486407 scopus 로고
    • On the riesz means of spectral functions and eigenfunction expansions for elliptic differential operators
    • H66
    • [H66] Hörmander, L. On the Riesz Means of Spectral Functions and Eigenfunction Expansions for Elliptic Differential Operators. Belfer Grad. School Sci. (Yeshiva Univ.) Conf. Proceedings 1966, 2, 155-202.
    • (1966) Belfer Grad. School Sci. (Yeshiva Univ.) Conf. Proceedings , vol.2 , pp. 155-202
    • Hörmander, L.1
  • 6
    • 0012605432 scopus 로고    scopus 로고
    • The structure of the resolvent of elliptic pseudodifferential operators
    • L01
    • [L01] Loya, P. The Structure of the Resolvent of Elliptic Pseudodifferential Operators. J. Funct. Analysis 2001, 184, 77-134.
    • (2001) J. Funct. Analysis , vol.184 , pp. 77-134
    • Loya, P.1
  • 7
    • 84972506725 scopus 로고
    • On the asymptotic behavior of resolvent kernels for elliptic operators
    • N73
    • [N73] Nagase, M. On the Asymptotic Behavior of Resolvent Kernels for Elliptic Operators. J. Math. Soc. Japan 1973, 25, 464-474.
    • (1973) J. Math. Soc. Japan , vol.25 , pp. 464-474
    • Nagase, M.1
  • 8
    • 0001738999 scopus 로고
    • Complex powers of an elliptic operator
    • [S67] Amer. Math. Soc.: Providence
    • [S67] Seeley, R. Complex Powers of an Elliptic Operator. AMS Proc. Symp. Pure Math. X; 1966; Amer. Math. Soc.: Providence 1967, 288-307.
    • (1966) AMS Proc. Symp. Pure Math. X , vol.10 , pp. 288-307
    • Seeley, R.1
  • 9
    • 0001441799 scopus 로고
    • The resolvent of an elliptic boundary problem
    • S69
    • [S69] Seeley, R. The Resolvent of an Elliptic Boundary Problem. Amer. J. Math. 1969, 91, 889-920.
    • (1969) Amer. J. Math. , vol.91 , pp. 889-920
    • Seeley, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.