Complex Analysis: A Functional Analytic Approach, 1st Edition eBook

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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. Contents Complex numbers and functions Cauchy’s Theorem and Cauchy’s formula Analytic continuation Construction and approximation of holomorphic functions Harmonic functions Several complex variables Bergman spaces The canonical solution operator to Nuclear Fréchet spaces of holomorphic functions The -complex The twisted -complex and Schrödinger operators

This is a digital product.

Complex Analysis: A Functional Analytic Approach 1st Edition is written by Friedrich Haslinger and published by De Gruyter. The Digital and eTextbook ISBNs for Complex Analysis are 9783110426151, 3110426153 and the print ISBNs are 9783110417234, 3110417235. Additional ISBNs for this eTextbook include 9783110417241.