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Images of eigenvalue distributions under power maps

✍ Scribed by Eric M. Rains


Book ID
106137482
Publisher
Springer
Year
2003
Tongue
English
Weight
198 KB
Volume
125
Category
Article
ISSN
1432-2064

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πŸ“œ SIMILAR VOLUMES


Extremals for Eigenvalues of Laplacians
✍ Richard Snyder Laugesen; Carlo Morpurgo πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 441 KB

Po lya and G. Szego showed in 1951 that for simply connected plane domains, the first eigenvalue of the Laplacian (with Dirichlet boundary conditions) is maximal for a disk, under a conformal mapping normalization. That is, if f (z) is a conformal map of a disk D onto a bounded, simply connected pla