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Spectral analysis of singular Sturm-Liouville problems with operator coefficients

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1121)

Keywords

  • Asymptotic Expansion
  • Heat Kernel
  • Elliptic Operator
  • Selfadjoint Operator
  • Trace Class

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References

  1. Brüning, J.: Heat equation asymptotics for singular Sturm-Liouville operators, to appear in Math. Ann.

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  2. Brüning, J., and E. Heintze: Representations of compact Lie groups and elliptic operators, Inventiones math. 50 (1979), 169–203

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  3. Brüning, J., and E. Heintze: The asymptotic expansion of Minakshisundaram-Pleijel in the equivariant case, preprint 1983

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  4. Brüning, J., and E. Heintze: Zur spektralen Starrheit gewisser Drehflächen, preprint 1984

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  5. Brüning, J., and R.T. Seeley: Regular singular asymptotics, preprint 1984

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  6. Callias, C.: The heat equation with singular coefficients I, Comm. Math. Phys. 88 (1983), 357–385.

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  7. Cheeger, J.: On the spectral geometry of spaces with conelike singularities, Proc. Nat. Acad. Sci. USA 76 (1979), 2103–2106

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  8. Cheeger, J.: Spectral geometry of singular Riemannian spaces, preprint 1982

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  9. Seeley, R.T.: Complex powers of elliptic operators, Proc. Symposia in Pure Math. Vol 10, 288–307, Providence: AMS 1967.

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© 1985 Springer-Verlag

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Brüning, J. (1985). Spectral analysis of singular Sturm-Liouville problems with operator coefficients. In: Grisvard, P., Wendland, W.L., Whiteman, J.R. (eds) Singularities and Constructive Methods for Their Treatment. Lecture Notes in Mathematics, vol 1121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076262

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  • DOI: https://doi.org/10.1007/BFb0076262

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15219-4

  • Online ISBN: 978-3-540-39377-1

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