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Volumn 1999, Issue , 1999, Pages 1-39

Some properties of Riesz means and spectral expansions

Author keywords

Heat kernel; Riesz means; Spectral asymptotics

Indexed keywords


EID: 0242384052     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (16)
  • 2
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    • The spectrum of positive elliptic operators and periodic bicharacteristics
    • Sec. 2
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    • Duistermaat, J.J.1    Guillemin, V.W.2
  • 4
    • 33746662883 scopus 로고    scopus 로고
    • The Cesàro behavior of distributions
    • R. Estrada, The Cesàro behavior of distributions, Proc. Roy. Soc. London A 454, 2425-2443 (1998).
    • (1998) Proc. Roy. Soc. London A , vol.454 , pp. 2425-2443
    • Estrada, R.1
  • 5
    • 0242321111 scopus 로고    scopus 로고
    • Distributional asymptotic expansions of spectral functions and of the associated Green kernels
    • R. Estrada and S. A. Fulling, Distributional asymptotic expansions of spectral functions and of the associated Green kernels, Electron. J. Diff. Eqns., 1999 No. 7, 1-37 (1999)
    • (1999) Electron. J. Diff. Eqns. , vol.1999 , Issue.7 , pp. 1-37
    • Estrada, R.1    Fulling, S.A.2
  • 8
    • 3342982565 scopus 로고
    • The local geometric asymptotics of continuum eigenfunction expansions. III
    • S. A. Fulling, The local geometric asymptotics of continuum eigenfunction expansions. III, J. Phys. A 16, 2615-2631 (1983).
    • (1983) J. Phys. A , vol.16 , pp. 2615-2631
    • Fulling, S.A.1
  • 9
    • 0001272112 scopus 로고
    • Recursion relations and the asymptotic behavior of the eigenvalues of the Laplacian
    • P. B. Gilkey, Recursion relations and the asymptotic behavior of the eigenvalues of the Laplacian, Compos. Math. 38, 201-240 (1979).
    • (1979) Compos. Math. , vol.38 , pp. 201-240
    • Gilkey, P.B.1
  • 11
    • 84960607607 scopus 로고
    • The second theorem of consistency for summable series
    • G. H. Hardy, The second theorem of consistency for summable series, Proc. London Math. Soc. (2) 15, 72-88 (1916).
    • (1916) Proc. London Math. Soc. , vol.15 , Issue.2 , pp. 72-88
    • Hardy, G.H.1
  • 14
    • 0001486407 scopus 로고
    • On the Riesz means of spectral functions and eigenfunction expansions for elliptic differential operators
    • ed. by A. Gelbart, Yeshiva University, New York
    • L. Hörmander, On the Riesz means of spectral functions and eigenfunction expansions for elliptic differential operators, in Belfer Graduate School of Science Annual Science Conference Proceedings: Some Recent Advances in the Basic Sciences, ed. by A. Gelbart, Vol. 2 (1965-1966) (Yeshiva University, New York, 1969), pp. 155-202.
    • (1969) Belfer Graduate School of Science Annual Science Conference Proceedings: Some Recent Advances in the Basic Sciences , vol.2 , Issue.1965-1966 , pp. 155-202
    • Hörmander, L.1
  • 15
    • 33646945324 scopus 로고
    • The spectral function of an elliptic operator
    • L. Hörmander, The spectral function of an elliptic operator, Acta Math. 121, 193-218 (1968).
    • (1968) Acta Math. , vol.121 , pp. 193-218
    • Hörmander, L.1
  • 16
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    • Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds
    • S. Minakshisundaram and Å. Pleijel, Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds, Can. J. Math. 1, 242-256 (1949).
    • (1949) Can. J. Math. , vol.1 , pp. 242-256
    • Minakshisundaram, S.1    Pleijel, Å.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.