Elsevier

Advances in Mathematics

Volume 226, Issue 3, 15 February 2011, Pages 2700-2711
Advances in Mathematics

Fisher information and matrix-valued valuations

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Abstract

All continuous and affinely contravariant matrix-valued valuations on the Sobolev space W1,2(Rn) are completely classified. It is shown that there is a unique such valuation. This valuation turns out to be the Fisher information matrix.

MSC

62B10
46E35
52A20
52B45
94A17

Keywords

Fisher information matrix
Valuations
Sobolev space

Cited by (0)

1

Research supported, in part, by NSF grant DMS-0805623.