Aleksandrov–Clark Measure

Aleksandrov–Clark Measure

In mathematics, Aleksandrov–Clark (AC) measures are specially constructed measures named after the two mathematicians, A. B. Aleksandrov and Douglas Clark, who discovered some of their deepest properties. The measures are also called either Aleksandrov measures, Clark measures, or occasionally spectral measures.

AC measures are used to extract information about self-maps of the unit disc, and have applications in a number of areas of complex analysis, most notably those related to operator theory. Systems of AC measures have also been constructed for higher dimensions, and for the half-plane.

Read more about Aleksandrov–Clark Measure:  Construction of The Measures, An Alternative Construction

Famous quotes containing the word measure:

    Chide me then no more; be to me what you have been; and give me without measure the comfort of your friendship.
    Thomas Jefferson (1743–1826)