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Proceedings of the American Mathematical Society

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The orthogonal invariants of a curve in Hilbert space

Author: F. Alberto Grünbaum
Journal: Proc. Amer. Math. Soc. 42 (1974), 268-271
MSC: Primary 46C05; Secondary 53A99
MathSciNet review: 0328559
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Abstract: Let $ x(t),y(t)(t \in R)$ be a pair of continuous curves in H, not passing through the origin. We consider the problem of deciding when one curve is obtained by rotating the other one.

References [Enhancements On Off] (What's this?)

  • [1] H. Weyl, The classical groups. Their invariants and representations, 2nd ed., Princeton Univ. Press, Princeton, N.J., 1946. MR 1488158 (98k:01049)
  • [2] H. Guggenheimer, Differential geometry, McGraw-Hill, New York, 1963. MR 27 #6194. MR 0156266 (27:6194)
  • [3] F. Alberto Grünbaum, The square of a Gaussian process, Z. Wahrscheinlichkeits-theorie und Verw. Gebiete 23 (1972), 121-124. MR 0319258 (47:7802)

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Article copyright: © Copyright 1974 American Mathematical Society

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