Complex Analysis A Functional Analytic Approach (De Gruyter Textbook) [#904636]

Free Download Complex Analysis: A Functional Analytic Approach (De Gruyter Textbook) by Friedrich Haslinger
English | November 23, 2017 | ISBN: 3110417235 | MOBI | 2.54 Mb
In this textbook, a concise approach to complex analysis of one and several variables is presented. After an introduction of Cauchy's integral theorem general versions of Runge's approximation theorem and Mittag-Leffler's theorem are discussed. The fi rst part ends with an analytic characterization of simply connected domains. The second part is concerned with functional analytic methods: Fréchet and Hilbert spaces of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the inhomogeneous Cauchy-Riemann equations and the d-bar Neumann operator.