For a fixed nonnegative integer m, an analytic map φ and an analytic function ψ the generalized integration operator I φ , ψ m is defined by I φ , ψ m f z = ∫ 0 z f m φ ζ ψ ζ d ζ for X-valued analytic ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

Bergman spaces, which comprise analytic functions that are square-integrable with respect to a given measure, have been an area of intense study due to their deep connections with complex analysis, ...

This is a preview. Log in through your library . Journal Information Annals of Mathematics, a distinguished journal of research papers in pure mathematics, was founded in 1884. Annals of Mathematics ...