The course gives an introduction to the most central aspects and methods in the theory of holomorphic functions of several complex variables, and applications of these to approximation- and mapping ...

Functions on Euclidean Spaces Differential Calculus in Several Variables Integral Calculus in Several Variables Change of Variables Formula, Improper Multiple Integrals Line and Surface Integrals ...

This paper is concerned with networks containing variable parameters. The concepts of multivariable positive real function, multivariable reactance function, and multivariable positive real matrix are ...

About this article Cite this article B., J. (1) The Theory of Functions of a Real Variable and the Theory of Fourier's Series (2) An Introduction to the Theory of Infinite Series.

The problem of Taylor's series is therefore to deduce from a knowledge of the coefficients the behaviour of the function. The Taylor Series: an Introduction to the Theory of Functions of a Complex ...

The operator convex functions of several variables are characterized in terms of a non-commutative generalization of Jensen's inequality, extending previous results of F. Hansen and G.K. Pedersen for ...