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2007

Distance matrices and isometric embeddings

Bogomolny, E., Bohigas, O., Schmit, C.

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We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices defined on euclidean and spherical spaces have all eigenvalues except one non-negative.

Several generalizations are discussed.

Distance matrices and isometric embeddings · Around

Built on

I.J. Schoenberg
1935
Earlier work this paper cites.
I.J. Schoenberg
1937
Earlier work this paper cites.
I.J. Schoenberg
1942
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Higher transcendental functions
1953
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D.M.Y. Sommerville
1958
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