The Poisson summation formula for a Dirichlet problem with gliding and glancing rays
M. J. Bennett, F. G. Friedlander (1982)
Journées équations aux dérivées partielles
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M. J. Bennett, F. G. Friedlander (1982)
Journées équations aux dérivées partielles
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Zdeněk Dušek, Oldřich Kowalski (2006)
Archivum Mathematicum
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In ( Dušek, Z., Kowalski, O. and Nikčević, S. Ž., New examples of Riemannian g.o. manifolds in dimension 7, Differential Geom. Appl. 21 (2004), 65–78.), the present authors and S. Nikčević constructed the 2-parameter family of invariant Riemannian metrics on the homogeneous manifolds and . They proved that, for the open dense subset of this family, the corresponding Riemannian manifolds are g.o. manifolds which are not naturally reductive. Now we are going to investigate the remaining...
A. Agrachev, B. Bonnard, M. Chyba, I. Kupka (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Steven Zelditch (1996)
Annales de l'institut Fourier
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The Laplacian of a compact Riemannian manifold is called if its eigenvalue multiplicity function is of maximal growth among metrics of the same dimension and volume. Canonical spheres and CROSSes are MD, and one asks if they are the only examples. We show that a MD metric must be at least a Zoll metric with just one distinct eigenvalue in each cluster, and hence with all band invariants equal to zero. The principal band invariant is then calculated in terms of geodesic integrals...
Doyle, Peter G., Rossetti, Juan Pablo (2004)
Geometry & Topology
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