An improved integral inequality concerning on double-integral items is first established. Then, we use the improved integral inequality to deal with the resultant double-integral items in the ...

Applications of the residue theorem, Montel's theorem, Cauchy-estimates, solutions to d-bar ... The course gives an introduction to classical results in function theory of the complex plane, and an ...

We prove that the 2-hermitean matrix model and the complex-matrix model obey the same loop equations, and as a byproduct, we find a formula for Itzykzon-Zuber's type integrals over the unitary group.

In order to obtain sufficiently general local limit theorem, we develop also thermodynamic formalism type results for random complex operators, which is one of the novelties of the book.

The Denjoy integral has not found many applications in analysis. Such applications as have been made are due mainly to authors of this book. The original papers are in difficult to obtain Soviet ...