Distance Matrices and Isometric Embeddings
We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices de ned on euclidean and spherical spaces have all eigenvalues except one nonpositive. Several generalizations are discussed.
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Date: | 2008 |
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Main Authors: | Bogomolny, E., Bohigas, O., Schmit, C. |
Format: | Article |
Language: | English |
Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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Series: | Журнал математической физики, анализа, геометрии |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106492 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | Distance Matrices and Isometric Embeddings / E. Bogomolny, O. Bohigas, C. Schmit // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 7-23. — Бібліогр.: 14 назв. — англ. |
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