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Weyl number methods for the investigation of spectral
asymptotics of matrix and integral operators
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Description: |
We give an overview of methods for the determination of the
asymptotic behavior of the eigenvalue sequence of bounded
linear operators in Banach spaces. Particular emphasis will
be put on estimates of eigenvalues via Weyl numbers in
contrast to the more often used entropy numbers. While
the study of the asymptotic behavior of eigenvalue sequences
is by now a classical field of research with many
applications, it is still a very active area. We demonstrate
this by deriving new results for the spectral asymptotics
of certain weakly singular integral operators on fractal
sets which complements and extends the recent study of
M. ZÀhle on Riesz potentials and Liouville operators
on fractal sets.
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Date: |
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| Start Time: |
14.30 |
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Speaker: |
Aicke Hinrichs (Fac. Mathematics and Computer Science, Univ. Jena, Germany)
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Place: |
5.5
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| Research Groups: |
-Analysis
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See more:
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© 2012 Centre for Mathematics, University of Coimbra, funded by
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