APPLIED ANALYSIS II

Special topics of the operator theory. Thoery of semi-groups. Spectral measure, spectral family, applications. Self-adjoint expansions of the Laplace and Schrodinger operators. Ordinary (linear and non-linear) differential equations in Hilbert and Banach spaces.

Ergodic theory. Special topics of measure theory. Recurrency, ergodic (?) and ergodic theorems. Topologic dynamics, topologic entropy.