Let [mu] be a [sigma]-finite

Borel measure on a Polish space S.

0]([OMEGA] x [OMEGA]'), there is a

Borel measure [mu] on [OMEGA] x [OMEGA]' such that <u, x> = [[integral].

Let [mu] be a finite and positive

Borel measure on the unit circle T = {z [member of] C, [absolute value of z] = 1}.

Our proof is obtained by the regularity properties of the corresponding regular

Borel measure on [?

Let [mu] be a countably additive, regular, vector valued,

Borel measure on R taking values in [B *.

The

Borel measure [mu] which supported by K is defined by

Under certain assumptions on the finite

Borel measure [mu] on [?

We introduce one notation on

Borel measures: Let [mu] be a

Borel measure on [R.

2][theta] defines a finite positive

Borel measure [v.

Let [mu](x) be a positive and finite

Borel measure with real support.

If [mu] is a finite and compactly supported

Borel measure on the complex plane C, we denote by supp([mu]) its support, by

He covers the basic concepts, Gaussian measures, dynamical system, Borel product-measures, invariant

Borel measures, quasi-invariant Radon measures, partial analogies of Lebegues measures, essential uniqueness, the Erdos-Sierpinski duality principle, strict transivity properties, invariant extensions of Haar measures, separated families of probability measures, an Ostrogradsky formula, and generalized Fourier series.