Non-commutative spectral theory for affine function spaces on convex sets

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چکیده

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A ug 2 00 4 Valuations on convex sets , non - commutative determinants , and pluripotential theory

A new method of constructing translation invariant continuous valuations on convex subsets of the quaternionic space Hn is presented. In particular new examples of Sp(n)Sp(1)-invariant translation invariant continuous valuations are constructed. This method is based on the theory of plurisubharmonic functions of quaternionic variables developed by the author in two previous papers [5] and [6].

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ژورنال

عنوان ژورنال: Memoirs of the American Mathematical Society

سال: 1976

ISSN: 0065-9266,1947-6221

DOI: 10.1090/memo/0172