Let 0 be a locally compact abelian ordered group. We say that 0 has the extension property if every operator valued continuous positive definite function on an interval of 0 has a positive definite extension to the whole group and we say that 0 has the commutant lifting property if a natural extensi
On Conjugations for Functions with Values in Extensions of Ordered Groups
β Scribed by Juan-Enrique Martinez-Legaz; Ivan Singer
- Book ID
- 110279144
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 207 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1385-1292
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π SIMILAR VOLUMES
Clearly the sum as well as the maximum of two real numbers can be presented as a semigroup operation. So the measure with values in a partially ordered semigroup is a common generalization of additive or subadditive and maxitive measures (see Section 4). The extension of such measures we realize by
Let k be a function field of one variable over a finite field with the characteristic not equal to two. In this paper, we consider the prehomogeneous representation of the space of binary quadratic forms over k. We have two main results. The first result is on the principal part of the global zeta f