The Kantorovich metric for probability measures on the circle
β Scribed by Carlos A. Cabrelli; Ursula M. Molter
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 745 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We define a new height function on the group of non-zero algebraic numbers :, the height of : being the infimum over all products of Mahler measures of algebraic numbers whose product is :. We call this height the metric Mahler measure, since its logarithm defines a metric in the factor group of the
Properties of second kind polynomials, and, in particular, conditions for second kind measures to be absolutely continuous are investigated. The asymptotic representation for second kind polynomials is obtained. Examples of generalized Jacobi weighted functions are considered. 1995 Academic Press. I
## Abstract Let __Y__ and __Z__ be two topological spaces and __F__ : __Y__ Γ __Z__ β β a function that is upper semiβcontinuous in the first variable and lower semiβcontinuous in the second variable. If __Z__ is Polish and for every __y__ β __Y__ there is a point __z__ β __Z__ with __F__(__y, z__)
In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the co