Measure and regularly

Research objectives: Overview of Ho Chi Minh’s thought on international solidarity; point out the issues of regularity in strengthening the solidarity between Cambodia, Vietnam and Laos pursuant to Ho Chi Minh’s ideology on international solidarity; look at the actual situation and draw the lessons in strengthening the solidarity between Cambodia, Vietnam and Laos today pursuant to Ho Chi Minh’s ideology on international solidarity; propose some measures to strengthen the solidarity between Cambodia, Vietnam and Laos today pursuant to Ho Chi Minh’s ideology on international solidarity.

28p change03 06-05-2016 35 3   Download

Suppose that G is a locally compact abelian group, and write M(G) for the algebra of bounded, regular, complex-valued measures under convolution. A measure µ ∈ M(G) is said to be idempotent if µ ∗ µ = µ, or alternatively if µ takes only the values 0 and 1. The Cohen-Helson-Rudin idempotent theorem states that a measure µ is idempotent if and only if the set {γ ∈ G : µ(γ) = 1} belongs to the coset ring of G, 1. Introduction Let

31p dontetvui 17-01-2013 73 8   Download

By the Snell law of reflection, a light ray incident upon a reflective surface will be reflected at an angle equal to the incident angle. Both angles are measured with respect to the normal to the surface. If a light ray emanates from O in the direction x ∈ S n−1 , and A is a perfectly reflecting surface, then the reflected ray has direction: (1.1) x∗ = T (x) = x − 2 x, ν ν, where ν is the outer normal to A at the point where the light ray hits A.

26p dontetvui 17-01-2013 65 7   Download

The infinite-dimensional unitary group U(∞) is the inductive limit of growing compact unitary groups U(N ). In this paper we solve a problem of harmonic analysis on U(∞) stated in [Ol3]. The problem consists in computing spectral decomposition for a remarkable 4-parameter family of characters of U(∞). These characters generate representations which should be viewed as analogs of nonexisting regular representation of U(∞). The spectral decomposition of a character of U(∞) is described by the spectral measure which lives on an infinite-dimensional space Ω of indecomposable characters. ...

105p noel_noel 17-01-2013 43 5   Download