A vector measure mu = (mu(1),...,mu(n)) defined on [a, b] is oriented if for each k-tuple of disjoint measurable sets (A(1),...,A(k)) such that A(1) < ... < A(k) the determinant GRAPHICS is positive. We study the range R of an oriented measure: (R) over circle = {mu(E):chi(E) has n discontinuity points}, partial derivative R = {mu(E):chi(E) has less than n - 1 discontinuity points}. (C) 1996 Academic Press, Inc.
Oriented measures
MARICONDA, CARLO
1996
Abstract
A vector measure mu = (mu(1),...,mu(n)) defined on [a, b] is oriented if for each k-tuple of disjoint measurable sets (A(1),...,A(k)) such that A(1) < ... < A(k) the determinant GRAPHICS is positive. We study the range R of an oriented measure: (R) over circle = {mu(E):chi(E) has n discontinuity points}, partial derivative R = {mu(E):chi(E) has less than n - 1 discontinuity points}. (C) 1996 Academic Press, Inc.File in questo prodotto:
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