Recovering a function from its gram determinants

Grünbaum, F. Alberto

doi:10.1090/S0002-9939-1974-0330184-X

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Recovering a function from its gram determinants
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by F. Alberto Grünbaum PDF

Proc. Amer. Math. Soc. 43 (1974), 331-336 Request permission

Abstract:

We prove that any real valued symmetric function defined on $A \times A,A$ an arbitrary set, can be determined up to a phase factor from the knowledge of its Gram determinants.

References

F. Alberto Grünbaum, The square of a Gaussian process, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 23 (1972), 121–124. MR 319258, DOI 10.1007/BF00532854
F. Alberto Grünbaum, The orthogonal invariants of a curve in Hilbert space, Proc. Amer. Math. Soc. 42 (1974), 268–271. MR 328559, DOI 10.1090/S0002-9939-1974-0328559-8